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 3.2 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.2 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon to view the data table. What are the correct hypotheses for this test? The null hypothesis is Ho: = 3.2. The alternative hypothesis is H,: < 3.2. Calculate the value of the test statistic. x2 = (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.) 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 3.2 inches at the 0.05 level of significance. 72 74 71 71 76 70 77 75 72 72 77 72 75 70 73 74 75 73 74 74

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 3.2 inches. A baseball analyst wonders whether the standard deviation of
heights of major-league baseball players is less than 3.2 inches. The heights (in inches) of 20 randomly selected players are shown in the table.
E Click the icon to view the data table.
What are the correct hypotheses for this test?
The null hypothesis is Ho:
= 3.2.
The alternative hypothesis is H,:
< 3.2.
Calculate the value of the test statistic.
x2 = (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.)
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 3.2 inches at the 0.05 level of significance.
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 3.2 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.2 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon to view the data table. What are the correct hypotheses for this test? The null hypothesis is Ho: = 3.2. The alternative hypothesis is H,: < 3.2. Calculate the value of the test statistic. x2 = (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.) 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 3.2 inches at the 0.05 level of significance.
72 74 71 71 76
70 77
75 72 72
77 72 75 70 73
74 75 73 74 74
Transcribed Image Text:72 74 71 71 76 70 77 75 72 72 77 72 75 70 73 74 75 73 74 74
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