Lester Hollar is vice president for human resources for a large manufacturing co

Question

Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months following the exercise program. Below are the results.

Employee Before After

       1      7       5

    2         7       3

        3          7       2

        4          5        3

        5           4        2

        6           6        6

        7            5        2

        8             5        7

At the 0.01 significance level, can he conclude that the number of absences has declined? Hint: For the calculations, assume the "Before" data as the first sample.

Reject H0 if t > . (Round your answer to 3 decimal places.)

The test statistic is . (Round your answer to 3 decimal places.)

Explanation / Answer

Using Minitab

Paired T-Test and CI: Before, After

Paired T for Before - After

N Mean StDev SE Mean
Before 8 5.750 1.165 0.412
After 8 3.750 1.982 0.701
Difference 8 2.000 2.204 0.779

95% CI for mean difference: (0.157, 3.843)
T-Test of mean difference = 0 (vs 0): T-Value = 2.57 P-Value = 0.037

P-value > 0.01 we Do not reject the Ho.

Hope this will helpful. Thanks and God bless you:)

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