?Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the

Chapter 8, Problem 7

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Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.

Body Temperature Example 5 in Section 8-3 involved a test of the claim that humans have body temperatures with a mean equal to \(98.6^{\circ} \mathrm{F}\). The sample of 106 body temperatures has a standard deviation of \(0.62^{\circ} \mathrm{F}\). The conclusion in that example would change if the sample standard deviation s were \(2.08^{\circ} \mathrm{F}\) or greater. Use a 0.01 significance level to test the claim that the sample of 106 body temperatures is from a population with a standard deviation less than (2.08^{\circ} \mathrm{F}\). What does the result tell us about the validity of the hypothesis test in Example 5 in Section 8-3?

Text Transcription:

98.6^\circ F

0.62^\circ F

2.08^\circ F