Use the Given Degree of Confidence and Sample Data to Find

question 156

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.
-The mean replacement time for a random sample of 20 washing machines is 10.9 years and the standard deviation is 2.7 years. Construct a 99% confidence interval for the standard deviation, σ, of the replacement Times of all washing machines of this type.

• A) \(1.9 \mathrm { yr } < \sigma < 5.7 \mathrm { yr }\)
• B) \(1.8 \mathrm { yr } < \sigma < 5.1 \mathrm { yr }\)
• C) \(2.0 \mathrm { yr } < \sigma < 4.3 \mathrm { yr }\)
• D) \(1.9 \mathrm { yr } < \sigma < 4.5 \mathrm { yr }\)

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Definitions:

Future Requirements

The anticipated needs or conditions that an organization must prepare for to ensure future success and sustainability.

Personnel

Employees or staff members of an organization, often referred to in the context of human resource management.

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The process of determining the source or sources of human capital to satisfy the organization's demand.

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The collective skills, knowledge, and abilities of an organization's workforce that contribute to its economic value.