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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 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon to view the data table. - X Test the notion at the a = 0.05 level of significance. Data table What are the correct hypotheses for this test? The null hypothesis is H,: 2.6. V 2.6. 72 7471|73 76 76 |72 72 The alternative hypothesis is H,: |70 | 77 77 72 75 70 73 74 75 Calculate the value of the test statistic. 74 74 y2 = (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.)

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 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon to view the data table. - X Test the notion at the a = 0.05 level of significance. Data table What are the correct hypotheses for this test? The null hypothesis is H,: 2.6. V 2.6. 72 7471|73 76 76 |72 72 The alternative hypothesis is H,: |70 | 77 77 72 75 70 73 74 75 Calculate the value of the test statistic. 74 74 y2 = (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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 2.6 inches. A baseball analyst wonders whether the standard deviation of heights major-league baseball players is less than 2.6 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. Data table What are the correct hypotheses for this test? The null hypothesis is H,: 2.6. 72 | 74 73 The alternative hypothesis is H, 2.6. 76 70 77 75 74 75 72 72 70 Calculate the value of the test statistic. 73 |74 74 x2 =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| (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 2.6 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 2.6 inches. A baseball analyst wonders whether the standard deviation of heights major-league baseball players is less than 2.6 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. Data table What are the correct hypotheses for this test? The null hypothesis is H,: 2.6. 72 | 74 73 The alternative hypothesis is H, 2.6. 76 70 77 75 74 75 72 72 70 Calculate the value of the test statistic. 73 |74 74 x2 =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| (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 2.6 inches at the 0.05 level of significance.
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