Job satisfaction (When you first read about this exercise break plan in Chapter

Question

Job satisfaction (When you first read about this exercise break plan in Chapter 22, you did not have an inference method that would work. Try again now.) 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 p a) Identify the procedure you would use to assess the effectiveness of the exercise program, and check to see if the conditions allow the use of that procedure b) Test an appropriate hypothesis and state your conclusion. c) If your conclusion turns out to be incorrect, what kind of error did you commit? d) Use a matched-pairs sign test to test the appropriate hypothesis. Do your conclusions change from those in part b? rogram are shown in the table below Job Satisfaction Index Worker Number Before 34 After 36 50 27 24 15 15 21 10

Explanation / Answer

a) Identify the procedure you would use to assess the effectiveness of the program, and check to see if the conditions allow use of that procedure.

Answer: Paired t test

b)Using Minitab

Paired T-Test and CI: Before, After

Paired T for Before - After

N Mean StDev SE Mean
Before 10 27.00 8.67 2.74
After 10 35.50 9.10 2.88
Difference 10 -8.50 7.47 2.36

95% CI for mean difference: (-13.85, -3.15)
T-Test of mean difference = 0 (vs not = 0): T-Value = -3.60 P-Value = 0.006

c)

There is evidence that job satisfaction improved after the exercise program becasue the P value of the appropriate hypothesis test is LESS THAN alpha (0.006<0.05).

As we rejected Ho, then would could have committed a type I error.

d)

Using Minitab:

Wilcoxon Signed Rank Test: Difference

Test of median = 0.000000 versus median not = 0.000000

N for Wilcoxon Estimated
N Test Statistic P-value Median
Difference 10 10 3.0 0.014 -8.500

P-value < 0.05 So we reject the null hypothesis. Results of part- b is same for this test also.

Hope this will be helpful. Thanks and God Bless You :-)

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