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
**Problem Description:** **Claim:** The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample of 173 adult males, the pulse rates have a standard deviation of 10.4 bpm. Find the value of the test statistic. --- **Solution Approach:** To determine the test statistic, we will use the chi-square test for standard deviation, as it allows us to test hypotheses about population standard deviations. The test statistic for the chi-square test for standard deviation is calculated using the formula: \[ \chi^2 = \frac{(n-1)s^2}{\sigma_0^2} \] Where: - \( n \) is the sample size (173 in this case). - \( s \) is the sample standard deviation (10.4 bpm). - \( \sigma_0 \) is the claimed population standard deviation (10 bpm). **Note:** The result should be rounded to two decimal places as needed. The value will be filled in a box provided in the solution space. This process enables us to verify the claim regarding the population standard deviation of pulse rates among adult males.
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Transcribed Image Text:**Problem Description:** **Claim:** The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample of 173 adult males, the pulse rates have a standard deviation of 10.4 bpm. Find the value of the test statistic. --- **Solution Approach:** To determine the test statistic, we will use the chi-square test for standard deviation, as it allows us to test hypotheses about population standard deviations. The test statistic for the chi-square test for standard deviation is calculated using the formula: \[ \chi^2 = \frac{(n-1)s^2}{\sigma_0^2} \] Where: - \( n \) is the sample size (173 in this case). - \( s \) is the sample standard deviation (10.4 bpm). - \( \sigma_0 \) is the claimed population standard deviation (10 bpm). **Note:** The result should be rounded to two decimal places as needed. The value will be filled in a box provided in the solution space. This process enables us to verify the claim regarding the population standard deviation of pulse rates among adult males.
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