8

FINAL EXAM MATH 526 SUMMER 2023

Question 7:(15 points) A company institutes an exercise break for its workers to

see if it will improve job satisfaction, as measured by a questionnaire that assesses

workers' satisfaction. Scores for 10 randomly selected workers before and after the

implementation of the exercise program are shown as below:

Worker Number Before Exercises After Exercises

33

36

50

41

37

41

39

21

1

2

3

4

7

9

10

34

28

29

45

26

27

24

15

15

27

20

37

Assuming the populations to be normally distributed, is there sufficient evidence,

at the 0.05 level of significance, to say that the mean job satisfaction rating has

increased since the implementation of the exercise program? Then find a 95%

confidence interval for the mean satisfaction rating difference to see whether it

supports the conclusion in the hypothesis test.