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 six months following the exercise program. Below are the results. At the 0.03 significance level, can he conclude that the number of absences has declined? Estimate the p-value. a. state the decision rule for 0.025 significance level. Reject H0 if 1 b. Compute the test statistic. The test statistic is c. The p-value is Between 0.001 and 0.005 Between 0.005 and 0.01 Between 0.01 and 0.025 d. state your decision about the null hypothesis Reject H_0 Do not reject H_0

Explanation / Answer

Paired T-Test and CI: Before, After

Descriptive Statistics

Estimation for Paired Difference

µ_difference: mean of (Before - After)

Test

for 0.03 level of significance we can say that the mean has declined as p-value = 0.002 < 0.03

a) for 0.025 significance level

degree of freedom = n-1 = 7

critical value = 2.365

b)TS = 4.41

c) p-value = 0.002

between 0.001 and 0.005

d) p-value < 0.025

Reject Ho

Please rate my solution

Sample N Mean StDev SE Mean Before 8 5.875 1.126 0.398 After 8 3.375 1.408 0.498

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