Suppose a Large Labor Union Wishes to Estimate the Mean $\bar { x } = 9.5$

question 68

Multiple Choice

Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sample 426 of its members at random and monitor the working time of each of them for 1 month. At the end of the month, the total number of hours absent from work is recorded for each employee. If the mean and standard deviation of the sample are $\bar { x } = 9.5$ hours and $s = 2.2$ hours, find a $99 \%$ confidence interval for the true mean number of hours a union member is absent per month. Round to the nearest thousandth.

• A) \(9.5 \pm .106\)
• B) \(9.5 \pm .013\)
• C) \(9.5 \pm .274\)
• D) \(9.5 \pm .185\)

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