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 absenteelsm 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 particlpants 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 BeforeAfter At the 0010 significance level, can he conclude that the number of absences has declined? Estimate the p-value a. State the decision rule for 0.010 significance level. (Round your answer to 3 decimal places b.Compute the test statistic. (Round your answer to 3 decimal places.) t statistic is

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Before and After
H0 : D = 0
HA : D > 0
Hypothesis test results:

Hence,

a) Reject Ho if t > 2.998

b) Test statistic = 2.118

Difference Mean Std. Err. DF T-Stat P-value Before - After 1.25 0.59009684 7 2.1182964 0.036

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