Test the Indicated Claim About the Variances or Standard Deviations

question 18

Essay

Test the indicated claim about the variances or standard deviations of two populations. Assume that both samples are independent simple random samples from populations having normal distributions. A random sample of 16 women resulted in blood pressure levels with a standard deviation of 23 mm Hg. A random sample of 17 men resulted in blood pressure levels with a standard deviation of 19.2 mm Hg. Use a 0.05 significance level to test the claim that blood pressure levels for women vary more than blood pressure levels for men. Include your null and alternative hypotheses, the test statistic, P-value or critical value(s), conclusion about the null hypothesis, and conclusion about the claim in your answer.

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Definitions:

Purposeful Behavior

Actions that are deliberate and directed towards achieving a specific goal or objective.

Longitudinal

A research methodology that involves repeated observations of the same variables (e.g., people) over short or long periods of time to detect changes.

Attrition

The process of reducing something's number, size, or strength gradually, often referring to the loss of participants in research or workforce reduction.

Time-consuming

Describes tasks or activities that require a considerable amount of time to complete.