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Homework _ (201901-MAT258-8 × ㅮ Continue: Homework 1-1-(201 × ㅮ Take Test Homework 1-1-(2013 × ㅮ Courses Blackboard Learn × 1 + → C 을 https:/ oswego open sunyedu/webapps/assessment/take takejsp?course assessment, d- 71097 1&course id-3103_1&content d 1112195 1&question num 5 ☆ E or Close Window Save and Submit Click Submit to complete this assessment Question 5 of Question5 4 points Save Answer Data obtained from the National Center for Health Statistics show that men between the ages of 20 and 29 have a mean height of 69 3 inches, with a standard deviation of 2.9 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2 9 inches. The heights (in inches) of 20 randomly selected players are given below 72 74 71 72 76 70 77 75 72 72 77 72 75 70 73 73 75 73 74 74 Use Minitab Express to test the analysts hypothesis at the a 0.10 level of significance. Report your answers to three decimal places, where applicable With a P-value of 0001 The given data different from) 2.9 inches (reject fail to reject) the null hypothesis (does does not) provide significant evidence that the standard deviation of heights of baseball players is we more than /less than Click Submit to complete this assessment. Question 5 of 5 Close Window Save and Submit 0 Type here to search

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Answer #1

H0: the standard deviation of heights of base ball player is not less than 2.9 inches

H1: the standard deviation of heights of base ball player is less than 2.9 inches

As per MINITAB, the output is

Test and Cl for One Variance: Data Null hypothesis Alternative hypothesis Sigma < 2.9 Sigma 2 . 9 The chi-square method is only for the normal distribution The Bonett method is for any continuous distribution Statistics Variable N StDev Variance 20 2.06 Data 4.24 90% one-sided Confidence Intervals Upper Bound for Upper Bound StDev for Variance 6.91 6.58 Variable Method Data Chi-Square 2.63 Bonett 2.56 Test Variable Method Data Statistic DF P-Value 9.58 19 0.037 Chi-Square

P-value of Chi-square method is 0.037

With a P-value of 0.037, we reject the null hypothesis
The given data do provide significant evidence that the standard deviation of heights of base ball player is less than 2.9 inches

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