A Company Is Interested in Estimating μ,The Mean Number of Days

question 48

Multiple Choice

A company is interested in estimating μ,the mean number of days of sick leave taken by its employees.The firm's 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?

• A)2
• B)13
• C)136
• D)165
• E)173

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Definitions:

Statistics

The study of the collection, analysis, interpretation, presentation, and organization of data.

Hypotheses

Plural form of hypothesis, these are tentative explanations or predictions that can be tested through research and experimentation.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much values differ from the mean.

Modality

Modality in statistics refers to the number of peaks in the frequency distribution of a dataset.