Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.1 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.1 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon view the data table. Test the notion at the a=0.10 level of significance. What are the correct hypotheses for this test? The null hypothesis is H, a - 3.1. The alternative hypothesis is H,: o : 3.1. Calculate the value of the test statistic. x2= 8.632 (Round to three decimal piaces as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.1 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.1 inches. The heights (in inches) of 20 randomly selected players are shown in the table.

Test the notion at the α = 0.10 level of significance.

What are the correct hypotheses for this test?

- The null hypothesis is \( H_0: \sigma = 3.1 \).
- The alternative hypothesis is \( H_1: \sigma < 3.1 \).

Calculate the value of the test statistic.

\[ \chi^2 = 8.632 \] (Round to three decimal places as needed.)

Use technology to determine the P-value for the test statistic.

The P-value is __________ (Round to three decimal places as needed.)
Transcribed Image Text:Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.1 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.1 inches. The heights (in inches) of 20 randomly selected players are shown in the table. Test the notion at the α = 0.10 level of significance. What are the correct hypotheses for this test? - The null hypothesis is \( H_0: \sigma = 3.1 \). - The alternative hypothesis is \( H_1: \sigma < 3.1 \). Calculate the value of the test statistic. \[ \chi^2 = 8.632 \] (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is __________ (Round to three decimal places as needed.)
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