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 to view the data table. Test the notion at the a = 0.10 level of significance. Data table What are the correct hypotheses for this test? The null hypothesis is Hg: V3.1. 72 74 71 72 76 70 77 74 72 72 77 72 75 70 73 74 75 73 74 74 The alternative hypothesis is H,: V3.1. Calculate the value of the test statistic. y2 =O (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. Print Done The P-value is N. (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.10 level of significance? Since the P-value is V than the level significance, V the null hypothesis. There sufficient evidence to conclude that the standard deviation of heights of major-league baseball players less than 3.1 inches at the 0.10 level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 14PPS
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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.
Click the icon to view the data table.
Test the notion at the a = 0.10 level of significance.
Data table
What are the correct hypotheses for this test?
The null hypothesis is Ho:
3.1.
72 74 7172 76
70 77 7472 72
77 72 75 70 73
74 75 73 74 74
The alternative hypothesis is H;:
3.1.
Calculate the value of the test statistic.
(Round to three decimal places as needed.)
Use technology to determine the P-value for the test statistic.
Print
Done
The P-value is:
(Round to three decimal places as needed.)
What is the correct conclusion at the a = 0.10 level of significance?
Since the P-value is
than the level of significance,
the null hypothesis. There
sufficient evidence to conclude that the standard deviation of heights of major-league baseball players is less than 3.1 inches at the
0.10 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 3.1 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. Click the icon to view the data table. Test the notion at the a = 0.10 level of significance. Data table What are the correct hypotheses for this test? The null hypothesis is Ho: 3.1. 72 74 7172 76 70 77 7472 72 77 72 75 70 73 74 75 73 74 74 The alternative hypothesis is H;: 3.1. Calculate the value of the test statistic. (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. Print Done The P-value is: (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.10 level of significance? Since the P-value is than the level of significance, the null hypothesis. There sufficient evidence to conclude that the standard deviation of heights of major-league baseball players is less than 3.1 inches at the 0.10 level of significance.
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