A company is interested in estimating μ, the mean number of days of sick leave taken by its employees. Their statistician randomly selects 100 personnel files and notes the number of sick days taken by each employee. The sample mean is 12.2 days, and the sample standard deviation is 10 days. How many personnel files would the statistician have to select in order to estimate μ to within 2 days with a 99 percent confidence interval?
Note: Sigma Unknown
136 |
||
13 |
||
165 |
||
173 |
||
2 |
We have given here,
Sample standard deviation =10
Margin of error =E=2
Level of significance =0.01
Z critical value is (by using Z table)=2.576
Sample size formula is
=165.89
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