Use the Given Degree of Confidence and Sample Data to Find

question 77

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation ?.
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.
-A sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4.
Construct the 95% confidence interval for the standard deviation, ?, of the scores of all subjects.

• A) \(16.9 < \sigma < 29.3\)
• B) \(17.5 < \sigma < 27.8\)
• C) \(16.6 < \sigma < 28.6\)
• D) \(17.2 < \sigma < 27.2\)

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Definitions:

Favorite Aunt

A term often used to describe an aunt with whom one shares a close and favorable relationship, exceeding typical familial bonds.

Absolute Threshold

The minimum intensity of stimulation required to detect a particular stimulus 50% of the time.

Stimulus

A stimulus is something that causes a response or reaction in an organism or in any of its parts.

Just Noticeable Difference

The smallest difference in stimulation that a person can detect 50% of the time, also known as the threshold of sensation.