Question 1096330: 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.
Employee Before After
1 6 5
2 5 4
3 7 2
4 6 3
5 4 2
6 5 6
7 7 2
8 6 7
At the 0.005 significance level, can he conclude that the number of absences has declined? Hint: For the calculations, assume the "Before" data as the first sample.
Reject H0 if t > ____. (Round your answer to 3 decimal places.)
The test statistic is ___. (Round your answer to 3 decimal places.)
The p-value is ___.
Decision: ____ H0.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Use a paired t-test as more sensitive and each employee serves as a control.
If one uses a one-way test, reject when the critical value is less than 3.355, using t(df=8, 0.995)
The test statistic is t=(mean-0)/ s/ sqrt (n)
The mean is 1.875 if I subtract the third column from the second.
The sd is 2.357
The test statistic is 2.250
The p-value is 0.059.
Fail to reject Ho
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