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:

Personality Tests

Standardized assessments designed to measure characteristics, traits, and aspects that make up an individual's personality.

Life Records

Documentation or collected data detailing an individual's life events, behaviors, and milestones.

Factor Analysis

A statistical technique that explains the variance among observed, correlated variables through a smaller number of unseen variables known as factors.

Eysenck's Approach

is a theory of personality that categorizes traits based on biological and genetic foundations, emphasizing dimensions like introversion-extroversion and neuroticism-stability.