MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Compute the test statistic.

Find the​ P-value.

State the conclusion.

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 7.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (b) below. a. Identify the null and alternative hypotheses. Choose the correct answer below: - A. \( H_0: \sigma = 10 \text{ beats per minute} \) \( H_1: \sigma < 10 \text{ beats per minute} \) - B. \( H_0: \sigma \neq 10 \text{ beats per minute} \) \( H_1: \sigma = 10 \text{ beats per minute} \) - C. \( H_0: \sigma \geq 10 \text{ beats per minute} \) \( H_1: \sigma < 10 \text{ beats per minute} \) - D. \( H_0: \sigma = 10 \text{ beats per minute} \) \( H_1: \sigma \neq 10 \text{ beats per minute} \) Selection: C (indicated by a checkmark) b. Compute the test statistic. \( \chi^2 = \) ____ (Round to three decimal places as needed.)
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Transcribed Image Text:A simple random sample of 36 men from a normally distributed population results in a standard deviation of 7.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (b) below. a. Identify the null and alternative hypotheses. Choose the correct answer below: - A. \( H_0: \sigma = 10 \text{ beats per minute} \) \( H_1: \sigma < 10 \text{ beats per minute} \) - B. \( H_0: \sigma \neq 10 \text{ beats per minute} \) \( H_1: \sigma = 10 \text{ beats per minute} \) - C. \( H_0: \sigma \geq 10 \text{ beats per minute} \) \( H_1: \sigma < 10 \text{ beats per minute} \) - D. \( H_0: \sigma = 10 \text{ beats per minute} \) \( H_1: \sigma \neq 10 \text{ beats per minute} \) Selection: C (indicated by a checkmark) b. Compute the test statistic. \( \chi^2 = \) ____ (Round to three decimal places as needed.)
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