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.

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.

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.

Explanation / Answer

We use paired t test

H0: di =0

H1:di is not equals to 0.

where di=xi-yi

From excel

t critical value at 6 df with 1% level is 3.499

t >3.499 we reject the Ho.

Test statistic:

t=2.3333

Conlcusion:

P value= 0.0524

Hence p>0.01, we donot reject the H0. Hence claim is not significant.

t-Test: Paired Two Sample for Means before after Mean 5.625 3.875 Variance 1.125 3.267857 Observations 8 8 Pearson Correlation -0.02794 Hypothesized Mean Difference 0 df 7 t Stat 2.333333 P(T<=t) one-tail 0.026178 t Critical one-tail 2.997952 P(T<=t) two-tail 0.052356 t Critical two-tail 3.499483

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