A Company Is Interested in Estimating $$\mu$$ , the Mean Number of Days of Sick Leave Taken

question 56

Multiple Choice

A company is interested in estimating $$\mu$$ , 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. From historical records, the population standard deviation is about 10 days.
-How many personnel files would the director have to select in order to estimate $\mu$
To within 2 days with 99% confidence?

• A)2
• B)13
• C)136
• D)165
• E)166

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Definitions:

Industrialization

The development of industries in a country or region on a wide scale, marked by the transition from agrarian societies to more complex industrial societies.

Labor Force

The total number of people who are eligible and able to work, including both the employed and those seeking employment.

Mid 19th Century

A period in the 1800s recognized for significant social, economic, and political changes, roughly from 1830 to 1870.

Profound Changes

Significant and deep-seated transformations that have a lasting impact on societies, economies, cultures, or environments.