Use the Given Degree of Confidence and Sample Data to Find

question 42

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.
-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, σ, of the scores of all subjects.

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

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Definitions:

Standard Deviation

Standard deviation is a measure of the amount of variation or dispersion in a set of values, showing how much the values in a dataset differ from the mean.

Standard Deviation

A measure that indicates the amount of variation or dispersion from the average in a set of data.

Kilograms

A unit of mass equal to one thousand grams, used in the metric system.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a data set deviate from the mean.