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 six months following the exercise program. Below are the results.

Employee	Before	After
1	6	5
2	6	2
3	7	1
4	7	3
5	4	3
6	3	6
7	5	3
8	6	7

At the 0.05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.

a. State the decision rule for 0.05 significance level.

b. Compute the test statistic

Answer 1

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of ant t-diston From T 27 t-table, Acceptance T P K RiR. Corresponding region to df = 7 e area of oos in right oos of Cutical t-value on o te=1-895 to = +1.895 Since TS falls within acceptance region, we fail to rejeet Hoi P-value = ln (T.S. > t = 1.6978) From t-table @ of a 7 P value = 1-0.9333 0.0667 & Conclusion: No ion : No # of absences # of absences has not declined.