1. Four different assembly processes were under consideration. Thirty-two workers were

randomly assigned to the four processes, four per processes. The numbers of correctly assembled units in an four-hour work shift were recorded:

Process 1	Process 2	Process 3	Process 4
30	25	30	27
29	30	26	28
24	31	32	30
35	33	27	29

 

a. What is the value of SSF

b. What is the value of SST

c. What is the value of SSE

With the = 0.01, is there a significant difference between the four processes? 4. The following results were obtained as part of a simple linear correlation analysis: Y = 97.98 – 4.33x regression sum of squares = 2680. 27. Error sum of squares = 125.40. Total sum of squares = 2805.67. The sample correlation coefficient is : a. -0.9774 b. 0.9553 c. 0.2114 d. 0.0447

 

1. Ted has always had difficulty saving money, so on June 1, Ted enrolls in a Christmas savings program at his local bank and deposits $750. That money is totally locked away until December 1 so that Ted can be certain that he will still have it once the holiday shopping season begins. Suppose that the annual rate of interest is 10 percent on ordinary savings accounts (that allow depositors to withdraw their money at any time). How much interest is Ted giving up by precommitting his money into the Christmas savings account for six months instead of depositing it into an ordinary savings account? 

 

[Hint:If you invest X dollars at an annual interest rate of Y percent, you will receive interest equal to X × Y, where the interest rate Y is expressed as a decimal.]

 

1. Angela owes $500 on a credit card and $2,000 on a student loan. The credit card has a 15 percent annual interest rate and the student loan has a 7 percent annual interest rate. Her sense of loss aversion makes her more anxious about the larger loan. As a result, she plans to pay it off first—despite the fact that professional financial advisors always tell people to pay off their highest-interest-rate loans first. Suppose Angela has only $500 at the present time to help pay down her loans and that this $500 will be the only money she will have for making debt payments for at least the next year. 

 

Instructions: Enter your answers as whole numbers.

 

a. If she uses the $500 to pay off the credit card, how much interest will accrue on the other loan over the coming year? $ . 

 

b. On the other hand, if she uses the $500 to pay off part of the student loan, how much in combined interest will she owe over the next year on the remaining balances on the two loans?  $ .

 

c. By how many dollars will she be better off if she uses the $500 to completely pay off the credit card rather than partly paying down the student loan? 

 

[Hint: If you owe X dollars at an annual interest rate of Y percent, your annual interest payment will be X × Y, where the interest rate Y is expressed as a decimal.]

 

     $ .

 

 

 

 

 

 

 

 

1.  According to The Yankee Group, 53% of all cable households rate cable companies as good or excellent in quality transmission. Sixty percent of all cable households rate cable companies as good or excellent in having professional personnel. Suppose 300 cable households are randomly contacted.

(a) What is the probability that more than 175 cable households rate cable companies as good or excellent in quality transmission?

 

(b) What is the probability that between 164 and 168 (inclusive) cable households rate cable companies as good or excellent in quality transmission?

 

(c) What is the probability that between 153 and 170 (inclusive) cable households rate cable companies as good or excellent in having professional personnel?

 

(d) What is the probability that fewer than 201 cable households rate cable companies as good or excellent in having professional personnel?

 

 

2. According to the government of Manitoba, the average hourly wages are as follows: Alberta: $22.02, Ontario: $20.18, British Columbia: $20.05.

 

a. Suppose 36 workers are selected randomly from across Alberta and asked what their hourly wage is. What is the probability that the sample average will be between $21 and $22?

 

b. Suppose 34 manufacturing workers are selected randomly from across Ontario. What is the probability that the sample average will exceed $23?

 

c. Suppose 47 manufacturing workers are selected randomly from across British Columbia. What is the probability that the sample average will be less than $18.60? Assume that in all three provinces, the standard deviation of hourly wages is $3.

 

 

3. A study about strategies for competing in the global marketplace states that 52% of the respondents agreed that companies need to make direct investments in foreign countries. It also states that about 70% of those responding agree that it is attractive to have a joint venture to increase global competitiveness. Suppose CEOs of 95 manufacturing companies are randomly contacted about global strategies.

 

(a) What is the probability that between 45 and 51 (inclusive) CEOs agree that companies should make direct investments in foreign countries?

 

(b) What is the probability that more than 57 CEOs agree with that assertion?

 

(c) What is the probability that fewer than 59 CEOs agree that it is attractive to have a joint venture to increase global competitiveness?

 

(d) What is the probability that between 53 and 61 (inclusive) CEOs agree with that assertion?

 

 

A tourist center is open on weekends (Friday, Saturday, and Sunday). The owner-manager hopes to improve scheduling of part-time employees by determining seasonal relatives for each of these days. Data on recent traffic at the center have been tabulated and are shown in the following table:

    

	Week
	1	2	3	4	5	6
Friday	144	155	151	155	157	163
Saturday	255	257	263	266	275	278
Sunday	165	163	170	171	177	181

    

a.	Develop seasonal relatives for the shop using the centered moving average method. (Round your intermediate calculations and final answers to 2 decimal places.)

    

Friday
Saturday
Sunday

    

b.	Develop seasonal relatives for the shop using the SA method. (Round your intermediate calculations and final answers to 4 decimal places.)

    

	SA Index
Friday
Saturday
Sunday

 

1. Concerning DMAIC,
a. DMAIC is a unique process for problem solving
b. DMAIC is a unique Six Sigma system for eliminating process variation
c. DMAIC has similarities to 8-D and PDCA
d. DMAIC is an 8-step problem solving Six Sigma approach for reducing defects

2. Cpk would typically be used in the D stage of DMAIC.
a. True
b. False

3. Another name for the Logic Tree is the Step Chart.
a. True
b. False

4. The last step in DMAIC has would include
a. Documentation including engineering drawings
b. Work instructions and standard operating procedures.
c. Policies and time fence rules
d. All of the above answers

5. The validation of the objective of the project using DMAIC would happen typically in the D or Define step of DMAIC.
a. True
b. False

6. Mapping is a helpful tool in DMAIC and would often be applied in the D and A steps.
a. True
b. False

7. In Six Sigma, the voice of the customer is
a. Not always obvious to the suppliers and can be quite different than interpreted.
b. Is usually communicated completely and formally with drawings or specifications.
c. Is seldom at the root of customer dissatisfaction.
d. All of the above answers.

8. Solutions confirmed in DMAIC are often applicable to other facilities in the company and should be optimized by implementing solutions in other applications within the organization after the final step.
a. True
b. False

9. The SIPOC would be utilized in the following applications
a. almost every problem solving opportunity using DMAIC
b. in supply chain applications mostly such as with supplier fidelity issues using DMAIC
c. mostly in DMIAC applications where customers are exchanging money for goods or services from a supplier
d. b and c

10. Stakeholder Analysis includes analysis and actions to change support levels and opinions of people involved with the process being improved through DMAIC.
a. True
b. False