Use the Given Degree of Confidence and Sample Data to Find

question 6

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ.
Assume that the population has a normal distribution. Round the confidence interval limits to the same number of
decimal places as the sample standard deviation.
-To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19 randomly selected dowels and finds the standard deviation of the sample to be $s = 0.16$ . Find the 95\% confidence interval for the population standard deviation $\sigma$ .

• A) \(0.13 < \sigma < 0.22\)
• B) \(0.11 < \sigma < 0.25\)
• C) \(0.15 < \sigma < 0.21\)
• D) \(0.12 < \sigma < 0.24\)

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Definitions:

Labor Force Participation Rate

The percentage of the population ages 16 and over that is working or actively seeking work.

Adult Population

A demographic group consisting of individuals who have reached the age where they are legally recognized as adults, important for analyses related to labor, voting, and consumption.

Labor Force Participation Rate

The percentage of the working-age population that is working or actively looking for work, indicating the level of active engagement in the labor market.

Cyclical Unemployment

Cyclical unemployment refers to the fluctuation in unemployment that occurs due to the ups and downs of the economy over time.