2 questions

In preparing a report on the economy, we need to estimate the percentage of businesses that plan to hire additional employees in the next 60 days.
a) How many randomly selected employers must we contact in order to create an estimate in which we are

9595%

confident with a margin of error of

99%?
b) Suppose we want to reduce the margin of error to

33%.

What sample size will suffice?

c) Why might it not be worth the effort to try to get an interval with a margin of error of

11%?
 
From a survey of coworkers you find that

4848%

of

150150

have already received this year’s flu vaccine. An approximate

9898%

confidence interval is

(0.3850.385,
0.5750.575).
a) How would the confidence interval change if the sample size had been

24002400

instead of

150150?
b) How would the confidence interval change if the confidence level had been

9595%

instead of

9898%?
c) How would the confidence interval change if the confidenc

MATH125: Unit 1 Individual Project

MATH125: Unit 1 Individual Project

Mathematical Modeling and Problem Solving

All commonly used formulas for geometric objects are really mathematical models of the characteristics of physical objects.For example, the characteristic of the volume inside a common closed cardboard box can be modeled by the formula for the volume of a rectangular solid, V = L x W x H, where L = Length, W = Width, and H = Height of the box.A basketball, because it is a sphere, can be partially modeled by its distance from one side through the center to the other side, or diameter, by the diameter formula for a sphere, D = 2r.

Complete only ONE of the following questions.

1.       (Please review Chapter 9 in the College Math text for geometric objects and their properties.)For a familiar example, the perimeter and area formulas for a rectangle are mathematical models for distance around the rectangle (perimeter) and area enclosed by the sides, respectively; P = 2L + 2W and A = L x W.For another example, the volume of a rectangular box would be:V = L x W x H, where L = Length, W = Width, and H = Height.The surface area of a rectangular box would be: SA = 2(L x W) + 2(W x H) + 2(L x H).Your problem is to obtain (or make) arectangular box with a top on it that has the smallest possible surface area and that a football and a basketball, both fully inflated,will just fit into at the same time.What could make a good model for this situation?Using Polya’stechnique for solving problems, describe and discuss the strategy, steps,and procedures you will use to solve this problem. Then, demonstrate that your solution is correct.

 

 

 

2.       (Please review Chapter 9 in the College Math text for geometric objects and their properties; walls, windows, and ceilings are all rectangles.)The walls and ceiling in your bedroom need to be painted, and the painters’ estimates to do the work are far too expensive.You decide that you will paint the bedroom yourself.The bedroom is 14 ft. 3 in. by 16 ft., and the ceiling is 8 ft. high.The color of paint you have selected covers 75 sq.ft. per gallon, and costs $33.50 per gallon.The ceiling will be painted with a bright white ceiling paint that costs $28.50 per gallon but only covers 50 sq. ft. per gallon.There is one window in the room, and it is 3 ft. 4 in. by 5 ft. and will not be painted.The inside of the bedroom door is to be painted the same coloras the walls.Describe and discuss how you will use Polya’s problem-solving techniques to determine how much it will cost to paint this room with two coats of paint (on both walls and ceiling).Then, using your solution strategy, determine how much it will actually cost to paint your bedroom. Assuming you can paint 100 sq.ft. per hour, what will be the work time needed to paint your bedroom?(Because different paint lots of the same color may appear slightly different colors, when painting a room, you should buy all of your paint at one time and intermix the paint from at least two different cans so that the walls will all be exactly the same color.)

Case Study A – Problem 1

What Should Jim Do?

Please refer to “Case Study A – Discrimina V. Defense Plants” in Course Materials. Study and answer Problem 1 at the end of the case. It is reprinted for you here:

Problem 1. Employment Contracts and Wrongful Discharge

Mr. Discrimina, through Eunice, requests that his employee Jim Arbor sign what he calls a confidentiality agreement. He offers to “consider profit sharing and salary increases” if Jim signs, but does not put profit sharing and wage increases in writing. Jim asks to read the paper before he signs and finds that it also contains a non-competition agreement not allowing Jim to do any machining, mechanical engineering or any work on industrial parts for a period of five years after leaving the company, anywhere in the world. Jim feels that he is being taken advantage of, but does not know what to do. He has been threatened with discharge if he doesn’t sign.

Questions

  1. Analyze Jim Arbor’s situation. Does he have an employment contract now? What is it? Should he ask for the salary increase to be in writing? Why or why not?
  2. Is it fair for Eunice to take advantage of the fact that Jim does not know why his invention and services have suddenly become more valuable? Explain. Is it fair for her to be the one to approach him, given their personal relationship? Explain.
     
     
     
    Below is the case study to answer the above to questions
     
     
     

    This is Case Study A

     

    Course Materials


    The following case study features problems and issues related to employment law. The case is fictional yet realistic to illustrate points in the lecture and text and to provide problems within legal cases to solve. This case and Case Study B will be used for a number of weeks.

    Important Note: Your weekly class assignments will notify you when to work on this case.

    1. A small corporation, Discrimina, Inc. is a small parts machining shop owned by Hank Discrimina and his daughter, Eunice Discrimina. Discrimina, Inc. makes high quality agricultural parts for some of the agricultural implement manufacturers.
    2. Mr. Discrimina is thinking of retiring and has considered selling out for about $1.2 million.  His machine shop has only 15 employees and is appraised at only $600,000.00 including the steel building, grounds, machines, parts, and going business value.
    3. Defense Plants, Inc. has just offered to acquire the entire company for $1 million, and Hank Discrimina is allowing them to check out his company to see why they want to pay so much for a small machine shop.  The agreement at this point gives both parties full rights to back out and allows Defense Plants executives to check out the place.
    4. Defense Plants, Inc. has large government contracts and also does work for private individuals. They sell ammunition for military and sporting uses.
    5. Because of their large contracts with the government, Defense Plants, Inc. has a group of people whose sole job is to comply with government regulations. Defense Plants also has an excellent human resources department that has developed a policy for nearly everything likely to come up in the area of employment disputes. The company is non-union. In contrast, Discrimina, Inc. is the alter ego of one man and to a lesser extent, his daughter. The company does not comply with employment laws. Up until recently, Discrimina was regulated mostly by state law, but recent expansions have put them into federal jurisdiction in a number of areas.
    6. During the tour of his plant, Mr. Discrimina asks his visitors from Defense Plants what military purpose his small machine shop could possibly have.  Dave from Defense Plants politely declines to answer the question. 
    7.  A uniformed Navy officer appears the next day and asks Mr. Discrimina to sign a secrecy agreement. Mr. Discrimina recognizes the officer’s voice from calls made from a small implement manufacturer in another state. He puts two and two together and concludes that the whole reason the government and the other machine company are cooperating on this whole deal is to obtain access to the one specific machined part that has a military use. He also realizes that only one specific employee is qualified to machine the specific part. In fact, the employee, Jim Arbor, his best machinist, was the one who invented the part. Jim had come to work for Discrimina because he had needed to stay in the area for domestic reasons. One more important detail is that Jim is dating Eunice Discrimina.
    8. Mr. Discrimina is now considering selling the part directly to the government instead of selling his business. But there are employment law problems to solve before he can qualify as a government contractor.
    9. One problem has to do with terminating employees. The Discrimina, Inc. handbook says, “If you are a good employee and keep up with your work, I won’t fire you. But, if I want to close the plant, I can immediately fire everyone. I can also change this manual any time I want.” 
    10.  During the past six months, without updating the manual, Mr. Discrimina has fired three employees, all without logging any problems into Discrimina’s employment records. When asked, Mr. Discrimina says the three employees were harassing Rita Land, his bookkeeper, and he does not tolerate that at his company.
    11. The men consider Rita part of management because she works mostly in the office annex. Rita considers herself an ordinary employee, even though she is frequently in on confidential business planning with Hank Discrimina and his daughter, Eunice, the Vice President.
    12. If the company becomes a government contractor, Discrimina would have to have a health plan and would have to raise wages. There is no health plan now, due to increased costs resulting from the illnesses of the oldest employee, Frank Oldburr.

    Case Study A Problems

    Problem 1. Employment contracts and wrongful discharge

    Mr. Discrimina, through Eunice, requests that his employee Jim Arbor sign what he calls a confidentiality agreement. He offers to “consider profit sharing and salary increases” if Jim signs, but does not put profit sharing and wage increases in writing. Jim asks to read the paper before he signs and finds that it also contains a non-competition agreement not allowing Jim to do any machining, mechanical engineering or any work on industrial parts for a period of five years after leaving the company, anywhere in the world. Jim feels that he is being taken advantage of, but does not know what to do. He has been threatened with discharge if he doesn’t sign.

    Questions

    1. Analyze Jim Arbor’s situation. Does he have an employment contract now? What is it? Should he ask for the salary increase to be in writing? Why or why not?
    2. Is it fair for Eunice to take advantage of the fact that Jim does not know why his invention and services have suddenly become more valuable? Explain. Is it fair for her to be the one to approach him, given their personal relationship? Explain.

    Problem 2. Lack of minority hiring, evidence of discrimination

    There are no minority or foreign born employees at Discrimina, Inc, even though the local community consists of many newly arrived people of Mexican extraction. For years, the ads for new employees all contained the phrase, “must have solid ties to the community and top English communication skills.” For that reason, few Mexican people have ever applied for work at Discrimina. 

    Assignment

    Rewrite the ad, in a way that will attract, rather than repel, Mexican or other foreign born applications. Then prepare a memo to the executives at Discrimina, Inc. advising them of why they should use your version of the ad.

    Problem 3. Hostile atmosphere for one gender

    The atmosphere at Discrimina, due more to the influence of a few employees, not the owner himself, is markedly hostile to women. Rita Land and Shirley Baker are the only two women employees in the plant. Rita, who does billing and bookkeeping, needs to go onto the plant floor to tally up parts and make sure items have been shipped. She has warned Shirley Baker not to even go onto the shop floor. Unless the owner is present, Rita is at risk of being harassed with rude or suggestive comments. Rita maintains a tough exterior, but she has had to pay over $5,000.00 for counseling and medication to overcome the depression and fear that her doctor says is caused by the harassment.

    Questions

    1. Review Rita’s problem in the light of Sexual Harassment laws and related cases.
    2. Next go over the legal case “Harris v. Forklift Systems, Inc.,” 510 U.S. 17 (1993).
    3. In a Word document, evaluate whether Discrimina, Inc. would likely be held liable in court for Rita Land’s counseling and medication expenses if she sues.

    Problem 4.  English Only?

    Be sure to refer to the Garcia v. Spun Steak Company case.

    The job ad that Discrimina created to encourage legal immigrants to apply for jobs was successful. Three new machine operators are immigrants from Mexico, all who speak some English as a second language to their Spanish. They all have Vo-Tech training and are considered excellent employees. They are Luis, Carlo, and Benito.

    Luis, one of the new employees, is married to Juana, an immigrant from Guatemala, who is very good with numbers. She was hired part-time to assist Eunice with inventory control and clerical tasks. After she started, Juana complained that the other two Mexican men were calling her names.  Eunice is normally the only supervisor around when the name calling takes place, and she does not speak Spanish. Juana has asked for an English only policy and Eunice thinks it might be illegal to do that.

    Questions

    1. How should Eunice solve this problem? 
    2. How might the case of Garcia v. Spun Steak Company provide guidelines to resolve some of the issues?

    Problem 5. Safety First

    Discrimina, Inc. recently received a number of correction orders from OSHA. The local Fire Marshall has also warned them that the welding area does not comply with the fire codes. In particular, the stairwell is not up to OSHA or state fire codes. It is an open stairs in the office annex next to the shop. The owner contends that it is not a problem, since it is not even in the same building where welding occurs, but the inspectors all say it is not up to code. Both OSHA and the fire inspector want an entirely new enclosed stairway to be built. They also want a completely fireproof wall between the shop and the office annex. The CEO has heard negative things about OSHA and doubts he needs to follow their recommendations.

    Question

    Draft a memo to the CEO explaining that OSHA compliance saves lives. Use examples from the OSHA website. http://www.osha.gov. Check out OSHA Saves Lives within the site to illustrate your point.

    Problem 6.  Health Care Plan

    Frank Oldburr is the oldest employee at Discrimina, Inc. He is now 62 and has some health problems. The company-wide health plan has been discontinued, partly due to Frank’s health problems. The premium kept going up. Some of the employees who don’t like Frank have asked Discrimina to fire him and then reinstate the health plan.

    Questions

    1. What is Discrimina Inc.’s legal responsibility to provide health insurance to employees?
    2. What legal options does Frank Oldburr have to get himself covered with a health plan?
    3. Is there any way to come to a win-win situation here? Explain.

    Problem 7.  Dollars for Waiting?

    Jeffrey Swift has been a messenger used by a couple of the local businesses where the Discrimina, Inc. machine shop is located. Sometimes he has done some extra errands inside the Discrimina building for a couple of hours. For the last several weeks, he has helped package items for shipment on Thursdays. Things have gone well, but Jeffrey is concerned because sometimes he has waited over two hours in the waiting room while waiting for the packaging to begin. He wouldn’t mind but Discrimina pays only for packaging time, not for waiting time. He can never be certain when the parts will be ready for packaging because final quality checking time varies wildly.

    Jeffrey has his own delivery business, but Discrimina has only paid him cash. Each time, Jeffrey has given the company a receipt for the cash. While he waits, he sometimes goes out for donuts for the crew. At other times, he plays games on his PDA or makes cell calls to friends.

    Question

    If Jeffrey Swift sues for the waiting time hours, what is the likely result and why? Write your answer in a Word document in 1-2 pages.

    Problem 8. Help Wanted!

    Evaluate the Want Ads below in terms of employment law.

    Help Wanted at Discrimina, Inc.

    In recent weeks, Discrimina, Inc. has advertised for the following openings. Evaluate the notices from the standpoint of employment law:

    1. New “parts man” to keep track of inventory. Must be able to go up and down numerous steps without assistance, do a dead lift of 75 pounds and read and write the English language as a native speaker. The applicant has to be polite to the ladies in the office.
    2. Female needed to do typing and light bookkeeping. Must have H.S. diploma, solid ties to the community, and be able to handle rough talk and mild teasing. Applicant should have between 2 and 5 years of experience. Applicant needs to solve any day care problems before taking job.
    3. Machinist needed. High pay for the right able bodied man (or gal!). Experience and Vo-Tech training needed. Health and retirement benefits are available after initiation period. Must be willing to work Mondays through Saturdays. Must not have disruptive attitudes or lifestyle. No religious nuts, addicts, crazies, or drunks.
    4. Junior executive position, personnel. Work with machinists and office staff. Prefer an Asian, Black, Latino, or White woman with experience in personnel matters including anti-discrimination compliance. No old white dudes, please, we are full up!
    5. Gal Friday. Go-fer and greeter in sales office, willing to run errands and do light office work. Will consider young man for this job, if willing to forgo advancement.

    Problem 9. Americans with Disability Act

    Discrimina, Inc. has no policy regarding disabled employees. The only disabled employee has the title of “inventory parts man” and is in a wheel chair. His name is Bob Yates. Bob has to go back and forth from the shop floor to the office annex. He is unable to access his computer on the second floor of the office annex without having to interrupt another employee to push him up the steps. Bob has become upset about this and several times has asked management for an elevator or for his office to be moved. He says he feels he has been treated as a second class employee.

    Question

    The EEOC has decided not to require the company to provide an elevator for Bob or to mover his office, because it would create too much of a hardship for the employer.  Bob belongs to a religion that prohibits him from “going to court,” except in extreme situations, so realistically, Discrimina doesn’t have to do anything. Nevertheless, Eunice is thinking about helping Bob. What advice can give her to help make this determination? What are the pros and cons for this decision?  

    Problem 10. Is alcohol abuse a disability?

    The employee handbook allows discharge of an employee for any Driving Under the Influence conviction, or for alcoholism, whether job related or not. This is because the owner’s sister was killed by a drunken driver.

    Question

    Is Discrimina, Inc. in compliance with laws in regard to alcohol use? Explain and cite support for your answer.

    Problem 11. Union organization of a small shop

    About 6 months ago, Arnold, one of the machinists at Discrimina, Inc., and Rita in the office, posted union signs in the shop and tried to organize the employees into the new Brotherhood and Sisterhood of Machinists Union.  Mr. Discrimina hollered and tore down the posters and said that he would burn down the place before he would allow a union to organize his shop.

    Question

    What rights do Arnold and Rita have to unionize? What are acceptable responses from the employer?

Milestone Assignemnt

In task 2-2, you will submit a final paper topic. You will introduce your chosen contemporary conflict and the country or region of that conflict. Specifically, assess ways your chosen country (or region) has impacted or modified the physical and/or cultural environment to its benefit or detriment. Analyze the advantages and disadvantages the chosen country (or region) has attained due to its location. Identify the major conflict the country (or region) faces. Regarding this conflict, describe potential solutions. The post should be 500 words, not including the in-text citations or a Works Cited/Bibliography of 3-5 outside resources/references. This milestone is graded with the Paper Topic Rubric.

 

GEO 200 Paper Topic Rubric

Requirements of submission: This paper should be a short paper of 500 words in length that is posted in the Journal section of Blackboard.

 

Your chosen conflict needs to be a contemporary conflict.  It will structure what you discuss in your Milestone papers.  Your information on the environment and location will be important to understand/analyze your chosen conflict. 

 

All papers need to have the following formatting:

500 words of text.

Proper essay organization and tone.

In-text citations and a Works Cited/Bibliography section in APA or MLA citations.  Citations/Works Cited do not count toward 500 word limit.  

 

Instructor Feedback: Students can find their feedback in the grade book as an attachment.

 

Critical Elements

Exemplary

Proficient

Needs Improvement

Not Evident

Value

Assessment of Environments

Comprehensively assesses ways a chosen country or region has impacted or modified the physical and/or cultural environment to its benefit or detriment, substantiated by scholarly sources

(27-30)

Assesses ways a chosen country or region has impacted or modified the physical and/or cultural environment to its benefit or detriment

 

 

(24-26)

Minimally assesses ways a chosen country or region has impacted or modified the physical and/or cultural environment to its benefit or detriment

 

(21-23)

Does not assess ways a chosen country or region has impacted or modified the physical and/or cultural environment to its benefit or detriment

 

 

(0-20)

30

Analysis of Location

Conclusively analyzes the advantages and disadvantages the chosen country or region has attained due to location substantiated by scholarly sources

(27-30)

Analyzes the advantages and disadvantages the chosen country or region has attained due to location

 

 

(24-26)

Attempts to analyze the advantages and disadvantages the chosen country or region has attained due to location

 

 

(21-23)

Does not analyze the advantages and disadvantages the chosen country or region has attained due to location

 

 

(0-20)

30

Identification of Conflict

Effectively identifies the major conflict the country or region faces, and describes potential solutions to this conflict substantiated by scholarly sources

(27-30)

Identifies the major conflict the country or region faces, and describes potential solutions to this conflict

 

 

(24-26)

Minimally identifies the major conflict the country or region faces, and describes potential solutions to this conflict

 

 

(21-23)

Does not identify the major conflict the country or region faces; does not describe potential solutions to this conflict

 

(0-20)

30

Writing

(Mechanics)

No errors related to organization, grammar, and style

(9-10)

Minor errors related to organization, grammar, and style

(8)

Some errors related to organization, grammar, and style

(7)

Major errors related to organization, grammar, and style

(0-6)

10

Earned Total

Comments:

100%

 

 

 

 

Milestone 1 help/suggestions

Posted on: Monday, March 16, 2015 12:34:24 PM EDT

Hi students,

 

This announcement is specifically regarding Milestone 1.  I want you to have something that you can easily reference when you go to the Announcement page. I’m going to discuss here the importance of a strong Milestone 1 paper, suggestions on choosing topics, and some help with writing this paper.  Please do read this, and if you have further questions as you work on your paper, do not hesitate to email me.

 

The role of Milestone 1:

 

Milestone 1 is a topic proposal.  This chosen contemporary conflict topic will be central not only to this milestone but also Milestone 2 and Milestone 3.  Together, these assignments are a large chunk of your course grade.  They build off of each other (with the help of comments from me) with the goal that your Milestone 3 paper is a polished analysis paper on your chosen topic. Therefore, it is quite important that you consider your contemporary conflict and do some research while putting together this paper. It is important that you give this assignment time and effort as the more refined and focused your topic is in this Milestone 1, the easier it will be for you to move onto the following milestones.

 

This can be very overwhelming for some students.  I have some suggestions on how to choose a topic below.  To start, please make sure that you go to Course Information and read the document on the final project AND the topic proposal.  The topic rubric is important as that’s how I will be grading your Milestone 1 assignments. The final project document shows where you want to end up in terms of your final analysis paper at the end of the term.  Once your milestones are submitted, I will review these papers.  I will be grading them with comments, and I will also say whether your topic is approved or not approved.  Then we can work together via email to make sure that your topic is refined for continued success through the following modules. 

 

   

Suggestions about choosing topics:

 

These conflicts must be contemporary.  That means that the conflict should be occurring right now, not something from the past.  I do not want to see, for example, proposals to write about the 1970s Iran revolution or the US Civil War and so forth.  I have exceptions to this rule in the past, and students have not succeeded in their papers as well as they could have with a contemporary conflict.  Therefore, I do not make that exception anymore.  I want you all to be as well placed as possible to succeed in these assignments.

 

One common issue is that people seem to be interested in proposing countries rather than conflicts.  The central part of your paper should be the conflict and then the physical and human geography and details that help us to provide context and depth to those conflicts.  You are NOT writing a research paper on, for example, China.  But rather you should propose a particular conflict in China/with China/concerning China.  There are a lot of conflicts.  For example, China has a serious issue with dealing with aging populations due to one-child policies.  China has rapid development that is based off of using coal as energy and serious pollution concerns in their cities.  Then there are international conflicts over, for example, support of North Korea.  So rather than say that you want to research China, you should be talking about what conflict you want to research and then provide information on China relative to that conflict.  

 

These conflicts need focus.  It’s very easy for students to see the description of 7-10 pages and then think that it’s a lot of space to deal with, for example, 50 years of conflict between Israel and Gaza.  It’s not near enough space.  So I suggest that you stay away from huge subjects like Israel (unless you can show me that you are focused on a particular conflict within the larger conflict).  Also, topics that are too large are things like deforestation in South America or ISIS as a whole. These are huge topics with many different large aspects (poverty, colonization, trade relations, etc.) for a huge region. Immigration from Mexico is, again, way too broad of a subject.  So while writing your paper, you should ask yourself if you are focused in your conflict.  What aspects of human and physical geography are important?  How do you frame this conflict?  I’ve seen some very good papers on why Ebola is so difficult to combat in Liberia, but then I’ve seen some papers on Ebola that never really focused on a region or the issues concerning the spread of Ebola and didn’t turn out well. 

 

 

The starting point is to start reading the news.  Look at some online news sites (BBC News, NPR, CNN). Is there an article that catches your eye as interesting but not front page news (ex: Costa Rica is considering building their own canal; bees are being shipped to agricultural lands)?  See what’s happening around the world.  You can also choose a local conflict, so check some community papers if that’s more of your interest to see what’s happening in your neighborhood, city, and so forth (ex: some sort of development conflict)? 

 

Structuring and writing your Milestone 1:

 

This is a paper.  Some people think that because you’re posting this assignment in the Journal section, that you are writing a blog entry or something similar.  We are looking to see an organized, cited, and well-written paper.

 

Organization: These papers should be in essay format.  That means that you need to have paragraphs (introduction, topics broken into appropriate paragraphs, and a conclusion).

 

Quotes: Using a quotation is like using salt; do so sparingly.  If there is a particularly amazing phrasing of something, then it’s okay to use a quote (not really long!).  Otherwise, I want to hear your words, your understanding of what your source is saying.

 

Citations: Finally, you need to make sure that you are doing a Works Cited AND in-text citations in your paper.  You can choose APA or MLA formatting, but you must do this.  If you do not do both of these, you are plagiarizing (see policies on plagiarism), and there are serious consequences to plagiarism on your grade.  500 words isn’t a ton of space, so your works cited and in-text citations do not count as going over your word limit.  If you are having some questions about how to cite, then an excellent resource is OWL Purdue (MLA and APA).  

 

As always, if you are having some problems or you have some questions, you can email me.  If you email me and tell me your idea (explain it rather than send me one sentence), then I’ll let you know what I think.  I do NOT want to see your full paper, however. We’re working on topics and not proofreading your paper.

 

Cheers,

 

 

stastic 1

 1.
 
 
 

A web server hosting company advertises 99.999 percent guaranteed network uptime.

 
(a)

How many independent network servers would be needed if each has 99 percent reliability? (Round  your answer to the nearest whole number.)

   
  Network servers [removed]  

(b)

How many independent network servers would be needed if each has 90 percent reliability? (Round  your answer to the nearest whole number.)

   
  Network servers [removed]  

[The following information applies to the questions displayed below.]
 

The probability is 1 in 4,003,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 49,000 trips.

 
 2.
 
 
Required information
 
(a)

What is the probability of a fatal accident over a lifetime? (Hint: Assume independence.) (Round your answer to 4 decimal places.)

  

  Probability [removed]  

MATH D7 FOR MATH GURU

In this discussion, you will work in small groups in online discussions to read and interpret statistical graphs. This group discussion will help prepare you for activity M7A2, in which you will write and submit an individual paper analyzing a similar statistical graph.

For this discussion, you will be reading and interpreting graphs, tables, and maps from a particular news report. Specifically:

  1. Refer to the following report about dropout rates (Links to an external site.)Links to an external site.. (Note that this report is located in the CQ Researcher Plus Archive (Links to an external site.)Links to an external site. research database of the Excelsior College Library (Links to an external site.)Links to an external site..)
  2. Click on “Maps/Graphs” on the list on the left side of the screen. Read all graphs, tables, and maps.
    • Note: The graphs can be made larger (to read text more easily) by increasing your browser magnification or CTRL+ on your keyboard. CTRL – will decrease the magnification. If you have trouble viewing the graphs, please contact your instructor.
  3. Answer the following questions:
    • How many states had graduation rates below 75% during the 2011-2012 school year?
    • In what year was the national graduation rate approximately 75%?
    • What was the graduation rate for Asian American students in 2011-2012?
    • Describe anything that makes the graphs hard to read. What would you do differently?
    • Describe 3 additional pieces of information that you can read from these data displays.

Tip!CQ Research is a great source of information. This CQ Research Tip Sheet (Links to an external site.)Links to an external site. will be helpful if you wish to explore further for a research paper or just for your own interest.

Be sure to answer all parts of the question above. It is possible that you will not be successful at answering all parts of the question at this point, and that is okay. Describe what you were able to solve and what questions you have remaining.

It is important to follow the Discussion Problem Instructions 

MAT 510 CASE STUDY 1

  • Case Study 1: Statistical Thinking in Health Care

    Read the following case study.

    Ben Davis had just completed an intensive course in Statistical Thinking for Business Improvement, which was offered to all employees of a large health maintenance organization. There was no time to celebrate, however, because he was already under a lot of pressure. Ben works as a pharmacist’s assistant in the HMO’s pharmacy, and his manager, Juan de Pacotilla, was about to be fired. Juan’s dismissal appeared to be imminent due to numerous complaints and even a few lawsuits over inaccurate prescriptions. Juan now was asking Ben for his assistance in trying to resolve the problem, preferably yesterday!

    “Ben, I really need your help! If I can’t show some major improvement or at least a solid plan by next month, I’m history.”
    “I’ll be glad to help, Juan, but what can I do? I’m just a pharmacist’s assistant.”
    “I don’t care what your job title is; I think you’re just the person who can get this done. I realize I’ve been too far removed from day-to-day operations in the pharmacy, but you work there every day. You’re in a much better position to find out how to fix the problem. Just tell me what to do, and I’ll do it.”
    “But what about the statistical consultant you hired to analyze the data on inaccurate prescriptions?”
    “Ben, to be honest, I’m really disappointed with that guy. He has spent two weeks trying to come up with a new modeling approach to predict weekly inaccurate prescriptions. I tried to explain to him that I don’t want to predict the mistakes, I want to eliminate them! I don’t think I got through, however, because he said we need a month of additional data to verify the model, and then he can apply a new method he just read about in a journal to identify ‘change points in the time series,’ whatever that means. But get this, he will only identify the change points and send me a list; he says it’s my job to figure out what they mean and how to respond. I don’t know much about statistics — the only thing I remember from my course in college is that it was the worst course I ever took– but I’m becoming convinced that it actually doesn’t have much to offer in solving real problems. You’ve just gone through this statistical thinking course, though, so maybe you can see something I can’t. To me, statistical thinking sounds like an oxymoron. I realize it’s a long shot, but I was hoping you could use this as the project you need to officially complete the course.”

    “I see your point, Juan. I felt the same way, too. This course was interesting, though, because it didn’t focus on crunching numbers. I have some ideas about how we can approach making improvements in prescription accuracy, and I think this would be a great project. We may not be able to solve it ourselves, however. As you know, there is a lot of finger-pointing going on; the pharmacists blame sloppy handwriting and incomplete instructions from doctors for the problem; doctors blame pharmacy assistants like me who actually do most of the computer entry of the prescriptions, claiming that we are incompetent; and the assistants tend to blame the pharmacists for assuming too much about our knowledge of medical terminology, brand names, known drug interactions, and so on.”
    “It sounds like there’s no hope, Ben!”

    “I wouldn’t say that at all, Juan. It’s just that there may be no quick fix we can do by ourselves in the pharmacy. Let me explain how I’m thinking about this and how I would propose attacking the problem using what I just learned in the statistical thinking course.”

    Source: G. C. Britz, D. W. Emerling, L. B. Hare, R. W. Hoerl, & J. E. Shade. “How to Teach Others to Apply Statistical Thinking.” Quality Progress (June 1997): 67–80.

QUESTIONS;
Assuming the role of Ben Davis, write a three to four (3-4) page paper in which you apply the approach discussed in the textbook to this problem. You’ll have to make some assumptions about the processes used by the HMO pharmacy. Also, please use the Internet and / or Library LRC to research articles on common problems or errors that pharmacies face. Your paper should address the following points:

    1. Develop a process map about the prescription filling process for HMO’s pharmacy, in which you specify the key problems that the HMO’s pharmacy might be experiencing. Next, use the supplier, input, process steps, output, and customer (SIPOC) model to analyze the HMO pharmacy’s business process.
    2. Analyze the process map and SIPOC model to identify possible main root causes of the problems. Next, categorize whether the main root causes of the problem are special causes or common causes. Provide a rationale for your response.
    3. Suggest the main tools that you would use and the data that you would collect in order to analyze the business process and correct the problem. Justify your response.
    4. Propose one (1) solution to the HMO pharmacy’s on-going problem(s) and propose one (1) strategy to measure the aforementioned solution. Provide a rationale for your response.
    5. Use at least two (2) quality references. Note: Wikipedia and other Websites do not qualify as academic resources.

COURSE TEXTBOOK IS

Hoerl, R., & Snee, R. (2012). Statistical thinking: Improving business performance (2nd ed.). 

Hoboken, NJ: John Wiley and Sons, Inc.

 

 

SEE ATTACHMENT FOR TEXTBOOK CHAPTER 3 AND 4 TO HELP. JUST SEARCH FOR SIPOC TO SEE

The specific course learning outcomes associated with this assignment are:

    • Describe how organizations use statistical thinking to be more competitive.
    • Apply the basic principles of statistical thinking to business processes.
    • Apply the SIPOC model to identify OFIs in business processes.
    • Use technology and information resources to research issues in business process improvement.
    • Write clearly and concisely about business process improvement using proper writing mechanics.

 

Week7

Week 7 Assignment

The application assessment consists of five short answer questions. All work must be neat, detailed and clearly labeled. Final answers should be identified by either circling or underlining. Submit your work to the appropriate drop box as a Microsoft Word or PDF document.

1.  A customer purchased a lawn mower for a total purchase price of $318.75. If the state has a sales tax rate of 7.75%, what was the selling price of the lawn mower?

2.  Nancy Regan purchased a new diamond bracelet for $12,600. The state sales tax is 6% and the federal excise tax on the jewelry is 11%. What is the total purchase price of the bracelet? Round your answer to the nearest cent.

3.  The Franklin Family wants to buy a home. They narrowed the choice down to a $125,000 home in Louisville and a $138,000 home in Big Creek. With regard to property taxes, Louisville has an assessment rate of 100% and a tax rate of $1.85 per $100 of assessed value, while Big Creek has an 80% assessment rate and a tax rate of 21.6 mills. Determine which house has the higher property tax, and by how much? Round to the nearest cent.

4.  Allen was involved in an auto accident in which he was at fault. His car sustained damages in the amount of $1,327. The other vehicle had damages costing $1,309 in repairs. Allen was not injured, but the driver of the other car required medical treatment costing $22,619 and a passenger’s injuries totaled $24,051. Additional property damage amounted to $3,460. Allen’s policy includes 50/100/50 liability, $250 deductible collision and full coverage comprehensive. Determine the amount of damages the insurance company is required to pay?

5.  Determine the annual insurance premiums for a policy insuring a male age 40, who wants to purchase a whole life policy with a face value of $50,500. Use Table 19-1 from your text.

6.  During a violent windstorm, your car was damaged by a fallen tree. The estimated cost of repair was determined to be $3,822. If your policy carries $500 deductible for collision and $100 deductible for comprehensive, determine how much of the cost of the damages you will be required to pay.

Axia Math 116 Appendix C Problem and Solution

Axia College Material

Appendix C

 

Starting a Business

 

Starting your own business can be exciting and daunting at the same time. Businesses use math when managing finances, determining production levels, designing products and packaging, and monitoring labor. A bakery can be a highly profitable and rewarding business. During this activity, you will apply the skills from Ch. 1 & 2 to navigate some of the issues facing bakery owners.

 

 

 

 

 

 

 

Application Practice

 

Answer the following questions. Use Equation Editor when writing mathematical expressions or equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

 

1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full within 10 years.

a) What integer would represent your total budget

 

b) Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.

 

c) How much money will rent and utilities cost Explain how you arrived at this answer.

 

d) Suppose an investor has increased your budget by $22,250. The investor does not need to be repaid. Rather, he becomes part owner of your business. Will the investor contribute enough money to meet the cost of rent and utilities Support your answer, and write an equation or inequality that illustrates your answer.

 

e) This equation illustrates your remaining funds after paying for rent and utilities. How much money is left Explain how you arrived at your answer.

 

$38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) =

¬

 

2. You are trying to decide how to most efficiently use your oven. You do not want the oven running at a high temperature when it is not baking, but you also do not want to waste a lot of time waiting for the oven to reach the desired baking temperature.

 

The instruction manual on the industrial oven suggests your oven temperature will increase by 45 degrees Fahrenheit per minute. When the over is initially turned on, the temperature is 70 degrees Fahrenheit. What will the temperature of the oven be after 7 minutes Write an expression and explain how you arrived at your answer.

 

 

3. In your industrial oven, you bake two baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies.

 

a) Write an expression that illustrates the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones and the variable c to represent the cost of cookies. Simplify your expression by combining like terms.

 

b) Suppose you have decided to price the scones at $2.28 each and the cookies at $1.19 each. How much total revenue would result from selling all the scones and cookies baked in the oven at one time

 

c) Yesterday your store earned $797.30 just from the sale of cookies. Write and solve an equation that represents how many cookies were sold.

 

4. Your profit P is determined by subtracting the cost C (the amount of money it costs to operate a business) from the revenue R (the amount of money you earn from selling your product). Profit can be represented algebraically by the equations

 

Profit=Revenue-Cost

OR

P = R – C

 

a) Rewrite the formula to solve for C.

 

b) Suppose your profit for one day is $1,281, and the cost of running the business for the day is $1,463. What is the revenue for that day Explain your answer.

 

5. When managing a business, it is important to take inventory of where your money is spent. You have a monthly budget of $5,000. Refer to the table below and answer the questions that follow. Round your answers to the nearest tenth of a percent.

 

Category Cost Percentage

Labor $1,835

Materials 18%

Rentutilities 25%

Miscellaneous $1,015

Total $5,000 100%

 

a) What percentage of the total monthly budget is spent on labor

 

b) What percentage of the total monthly budget is spent on miscellaneous items

 

c) How much do materials cost monthly

 

d) How much do rent and utilities cost monthly

probability and measures of variations.

Question 1

The two boxplots show the weights of the male and female students in a class.

Which of the following is NOT correct?

a. About 50% of the male students have weights between 150 and 183 lbs.

b. About 25% of female students have weights more than 128 lbs.

c. The median weight of male students is about 162 lbs.

d. The mean weight of female students is about 112.

e. The male students have more variability than the female students.

Question 2

A set of scores from a vocabulary test given to a large group of international students can be summarized with this five number summary: {20, 35, 45, 50, 60} Determine which of the following statements about the distribution CANNOT be

justified:

a. About 75% of the scores are equal to or above 35.

b. There are more scores from 35 to 45 than scores from 45 to 50.

c. The interquartile range is 15.

d. The distribution is skewed to the left or low end.

e. The range is 40

Question 3

Two sections took the same vocabulary quiz. Use the 5-number summary {20,30,35,45,60} to construct a boxplot for

Section I and use the summary {20,35,45,50,60} to construct a boxplot for Section II. Use the same scales for both plots,

of course. Based on the two boxplots, which of the following statements about the two sections CANNOT be justifies?

a. The median of Section II is greater than the median for Section I.

b. About 75% of the scores in Section II are greater than the or equal to about 50% of the scores in Section I.

c. There are the same number of scores in Section I and Section II.

d. The range of scores for Section I is equal to the range of scores for Section II.

e. The interquartile ranges are equal for both sections.

Question 4

Sam determined how much students spend per week on reading materials. He constructed separate graphs for those

who live on campus and those who live off campus.

Sam concluded that students who live off campus have different spending habits from those who live on cam pus.

a. Agree. Students who live off campus probably work and have more spending money.

b. Disagree. The medians are nearly equal.

c. Agree. There is more variability in costs for off-campus students than for on-campus students.

d. Disagree. The ranges are the same.

Question 5

Suppose that you measure the height of college woman and calculate a mean of 66 inches with standard deviation of

2.5 inches. Then you notice that the end of the measuring tape is badly worn and each woman’s height is one inch too

high. If you revise the measures by subtracting one inch from each value, determine the new mean and standard

deviation.

a. 66 inches and 2.5 inches.

d. 67 inches and 3.5 inches.

b. 66 inches and 1.5 inches.

e. 65 inches and 1.5 inch

c. 65 inches and 2.5 inches.

Question 6

In a study of heights of koala bears, scientists found that the distribution was strongly skewed left. However, in a study of

heights of polar bears, scientists found that the distrib ution was symmetric.

What measure of centre should the scientists use to describe their data?

a. Nothing. Bears are scary.

b. The koalas should be described with the median and interquartile range, and the polar bears with the mean and standard

deviation.

c. The koalas should be described with the mean and standard deviation, and the polar bears with the median and

interquartile range.

Question 7

Given the following data set: 3 5 6 7 7 8 8 8 9 9 9 10 102

Researcher detected the technical error in the last observation and replaced 102 by 10.2. What happens to Interquartile

Range (IQR) and Standard Deviation (SD)?

a. Both IQR and SD will increase.

b. The absolute value of IQR will change but the absolute value of SD will stay the same.

c. SD will decrease and IQR will not change.

d. Both IQR and SD will decrease.

Question 8

Which of the following sets of data has the largest standard deviation?

Set A: 57, 60, 60, 60, 60, 60, 60, 63

Set B: 57, 58, 59, 60, 61, 62, 63, 64

a. There is no way to tell without using a calculator.

b. Set A

c. Set B

Question 9

Two researchers collected the information about student’s monthly spending on rental DVD in two different campuses.

Researcher A: sample size n =125, Mean = $30, Standard Deviation = $5

Researcher B: sample size n =165, Mean = $15, Standard Deviation = $5

Select the best answer.

a. The variation of the data is not comparable because the sample size is different.

b. The variation of the data for researchers A and B is not comparable because the first mean is twice as large.

c. We cannot compare the variation because in calculating the standard deviations one researcher could have divided by (n)

and the other by (n-1)

e. The variation of data is similar for researchers A and B.

Question 10

Suppose a population generally has a symmetrical distribution with one of the measurements on this curve falls more than 3

standard deviations above the mean. What would you call this value?

a. An error. All the values should lie within 3 standard deviations of the mean.

b. A value that has a 99.7% chance of occurring, because of the Empirical Rule.

c. An extreme outlier.

d. None of the given answers.

Question 11

Shrek lives on a swamp. The condition of his swamp is very important to him so he regularly checks the temperature. Over

the course of the year he records the temperatures of his swamp. The median is 70 degrees, the first and third quartiles are

60 and 80 degrees respectively. The min and max temperatures were 26 and 115 degrees respectively. Were some

temperatures outliers?

a. Yes. There is at least one outlier and it is below the median

b. There are outliers both above and below the median

c. There are no outliers

d. Yes there is at least one outlier and it is above the median.

Question 12

A group of Statistics students took a 25-item multiple-choice test. Each question had four answers, only one of which was

correct. The correct answer was given a score of “1” and the wrong answers were given a score of “0”. The mea n and

standard deviation were computed, and the standard deviation was 0.

What we know about this distribution? Select the best answer.

a. The test was so hard that everyone missed all of the questions

b. About half of the scores were above the mean

c. Everyone correctly answered the same number of items

d. A calculation error must have been made in determining the standard deviation

Question 13

The amount of television viewed by today’s youth is of primary concern to Parents Against Watching Television ( PAWT). 300

parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched

television. The distribution of the data showed a bell-curved shape with the mean of 16 hours and the standard deviation of

4 hours.

Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the

distribution.

a. between 8 and 24 hours per week

b. between 4 and 28 hours per week

c. between 12 and 20 hours per week

d. less than 12 and more than 20 hours per week

Question 14

Assuming that resting systolic blood pressure for healthy woman under the age of 35 has a mean of 120 and a standard

deviation of 9. Also assuming that the distribution of these woman’s systolic blood pressures is unimodal and symmetric.

According to the Empirical Rule, about 16% of healthy woman of this age

a. have resting systolic blood pressure below 102.

b. have resting systolic blood pressure above 129.

c. have resting systolic blood pressure between 102 and 111.

d. have resting systolic blood pressure above 138.

Question 15

A town’s average snowfall is 49 inches per year with a standard deviation of 5 inches. The distribution is symmetric and bell

shaped. What amount of snowfall would you expect to be unusual for this town?

a. 53 inches

b. 63 inches

c. 35 inches

d. none of the given answers