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. (Round your answer to 3 decimal places.) Reject HO if t > b. Compute the test statistic. (Round your answer to 3 decimal places.) 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

a) for (n-1=7) degree of freedom and 0.025 leve of significance :

reject Ho ; if t>2.365

b)

therefore test stat =4.025

c) p value between 0.001 and 0.005

d)

reject Ho

please revert for any clarification required

before after difference(d) 6 6 0 7 4 3 7 3 4 6 4 2 4 2 2 6 6 0 7 4 3 6 2 4 mean 2.250 std deviaition 1.5811 sample size 8.0000 std error= std dev/(n)^(1/2) 0.5590 t stat= (d)/std error 4.0249

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