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:

Vestigial

Referring to an organ or part of the body that has become functionless or reduced in size through evolution, such as the appendix in humans.

Anatomical Features

Physical characteristics or structures of organisms that relate to their form and function.

Cytochrome C

A small heme protein found in the mitochondria of cells, playing a role in the electron transport chain and the process of cellular respiration.

Electron Transport Chain

A series of complexes that transfer electrons from electron donors to electron acceptors via redox reactions, and couples this electron transfer with the transfer of protons (H+ ions) across a membrane.