STATISTICS QUIZ

A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either “Good” or “Poor” condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition

Good Condition

 

Poor Condition

 

Died

Survived

Total

 

 

Died

Survived

Total

Research hospital

12

688

700

 

Research hospital

69

1431

1500

Community hospital

16

584

600

 

Community hospital

7

93

100

Total

28

1272

1300

 

Total

76

1524

1600

Round the answers to three decimal places.

For Good Condition, calculate the proportions that survived and were in research hospital. (Points : 1) 

      [removed] .017

      [removed] .981

      [removed] .983

      [removed] .973

 

 

 

2. A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either “Good” or “Poor” condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition

Good Condition

 

Poor Condition

 

Died

Survived

Total

   

Died

Survived

Total

Research hospital

13

687

700

 

Research hospital

73

1427

1500

Community hospital

19

581

600

 

Community hospital

7

93

100

Total

32

1268

1300

 

Total

80

1520

1600

. Round the answers to three decimal places. 

 

 

For Good Condition, calculate the proportions that died and were in research hospital. (Points : 1) 

      [removed] .019

      [removed] .981

      [removed] .049

      [removed] .951

 

 

 

3. A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either “Good” or “Poor” condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition

Good Condition

 

Poor Condition

 

Died

Survived

Total

   

Died

Survived

Total

Research hospital

13

687

700

 

Research hospital

73

1427

1500

Community hospital

19

581

600

 

Community hospital

7

93

100

Total

32

1268

1300

 

Total

80

1520

1600

. Round the answers to three decimal places. 

For Poor Condition, calculate the proportions that survived and were in community hospital. (Points : 1) 

      [removed] .951

      [removed] .981

      [removed] .049

      [removed] .930

 

 

 

4. A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either “Good” or “Poor” condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition

Good Condition

 

Poor Condition

 

Died

Survived

Total

   

Died

Survived

Total

Research hospital

12

688

700

 

Research hospital

70

1430

1500

Community hospital

17

583

600

 

Community hospital

7

93

100

Total

29

1271

1300

 

Total

77

1523

1600

Round the answers to three decimal places. 

For Poor Condition, calculate the proportions that died and were in community hospital. (Points : 1) 

      [removed] .972

      [removed] .983

      [removed] .070

      [removed] .930

 

 

 

5. Calculations from a data set of n = 38 pairs of (x,y) values have provided the following results: 

    ,  

Obtain the correlation coefficient. Round your answer to three decimal places. (Points : 1) 

      [removed] r=.597

      [removed] r=.201

      [removed] r=-.201

      [removed] r=-.597

 

 

 

6. Heating and combustion analyses were performed in order to study the composition of moon rocks. Recorded here are the determinations of hydrogen (H) and carbon (C) in parts per million (ppm) for 11 specimens.

Hydrogen (ppm)

120

74

90

8

38

20

2.8

66

2.0

20

85

Carbon (ppm)

105

110

99

22

50

60

7.3

74

7.7

45

51

Calculate r. Round your answer to three decimal places. (Points : 1) 

      [removed]r = .901

      [removed]r = .890

      [removed]r = 0.858

      [removed]r = .724

 

 

 

7. A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by 

y = 12x − 155 

where x denotes the number of these batteries sold in a month. 

If 37 batteries were sold in a month, what was the profit? (Points : 1) 

      [removed]y = 289

      [removed]y = 291

      [removed]y = 293

      [removed]y = 295

 

 

 

8. A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by 

y = 8− 155 

where x denotes the number of these batteries sold in a month. 

At least how many batteries must be sold in a month in order to make a profit? (Give a whole number.) (Points : 1) 

      [removed]x =14

      [removed]x =16

      [removed]x =18

      [removed]x = 20

 

 

 

 

9. In an experiment to study the relation between the time waiting in line, y

(minutes), to get to the head of the checkout line at her favorite grocery store and the number of persons ahead in line, x, a student collected the following statistics: 

n = 9 ,    

Sxx = 9.4 , Syy = 17.8 , Sxy= 11.7 

Find the equation of the least squares fitted line. 

Round your answers to two decimal places. 

Depict your answer in the form:    (Points : 1) 

      [removed]y = -1.81+1.24*x

      [removed]y =1.81+1.24*x

      [removed]y = 2.01+1.24*x

      [removed]y = 2.01-1.24*x

 

 

 

10. Given the five pairs of (xy) values,

x 

y 

Calculate the following least squares estimates. Carry out all calculations exactly and round to 3 decimal places the final answers only. (Points : 1) 

      [removed]

 2.200 

 0.600 

      [removed]2.600   

 0.500 

      [removed]

 2.600 

 0.400 

      [removed]2.900 

 0.500

 

 

 

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