Data show that men between the ages of 20 and 20 in a general population have a mean height of 69.3 inches, with a standard deviation of 2.5 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.5 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon to view the data table. Test the notion at the a= 0.05 level of significance. What are the corect hypotheses for this test? The null hypothesis is Ho: | 2.5 The alternative hypothesis is H,: 2.5. Calculate the value of the test statistic. x =Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value isO (Round to three decimal places as needed.) What is the correct conclusion at the a= 0.05 level of significance? Since the P-value is V than the level of significance, V the null hypothesis. There V sufficient evidence to conclude that the standard deviation of heights of major-league baseball players is less than 2.5 inches at the 0.05 level of significance.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Data show that men between the ages of 20 and 20 in a general population have a mean height of 69.3 inches, with a standard deviation of 2.5 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.5 inches. The heights (in
inches) of 20 randomly selected players are shown in the table.
E Click the icon to view the data table.
Test the notion at the a= 0.05 level of significance.
What are the corect hypotheses for this test?
The null hypothesis is Ho: | 2.5
The alternative hypothesis is H,: 2.5.
Calculate the value of the test statistic.
x =Round to three decimal places as needed.)
Use technology to determine the P-value for the test statistic.
The P-value isO
(Round to three decimal places as needed.)
What is the correct conclusion at the a= 0.05 level of significance?
Since the P-value is
V than the level of significance,
V the null hypothesis. There
V sufficient evidence to conclude that the standard deviation of heights of major-league baseball players is less than 2.5 inches at the 0.05 level of significance.
Transcribed Image Text:Data show that men between the ages of 20 and 20 in a general population have a mean height of 69.3 inches, with a standard deviation of 2.5 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.5 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon to view the data table. Test the notion at the a= 0.05 level of significance. What are the corect hypotheses for this test? The null hypothesis is Ho: | 2.5 The alternative hypothesis is H,: 2.5. Calculate the value of the test statistic. x =Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value isO (Round to three decimal places as needed.) What is the correct conclusion at the a= 0.05 level of significance? Since the P-value is V than the level of significance, V the null hypothesis. There V sufficient evidence to conclude that the standard deviation of heights of major-league baseball players is less than 2.5 inches at the 0.05 level of significance.
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