Construct a 95% Confidence Interval for the Population Standard Deviation

question 84

Multiple Choice

Construct a 95% confidence interval for the population standard deviation σof a random sample of 15 crateswhich have a mean weight of 165.2 pounds and a standard deviation of 14.5 pounds. Assume the population isnormally distributed.

• A) (10.6, 22.9)
• B) (112.7, 522.9)
• C) (2.8, 6.0)
• D) (11.1, 21.2)

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Definitions:

Assumption

A basic condition that is accepted as true without proof in order to proceed with a calculation, argument, or analysis.

Non-directional Alternative Hypothesis

An alternative hypothesis that does not specify the direction of the expected difference or relationship, only that one exists.

Null Hypothesis

A hypothesis that states there is no statistical significance between two variables being studied.

μ ≠ 5

A statistical notation indicating the population mean (μ) is not equal to 5.