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The table to the right shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 6 high schools in a state. At x=0.05, can you reject the claim that the mean numbers of female students who played on a sports team are equal for all grades? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. (a) Identify the claim and state Ho and H₂. Choose the correct answer below. OA. Ho: At least one mean is different from the others. (claim) Ha: H1 H2 H3 H4=H5H6 ... OB. Ho: H₁ H₂=H3 = H4 (claim) Ha: At least one mean is different from the others. Grade Grade Grade Gra 9 10 11 12 56 45 51 58 62 65 64 63 133 125 115 10 112 106 82 85 FELBEE 87 84 77 86 71 81 65 69

The table to the right shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 6 high schools in a state. At x=0.05, can you reject the claim that the mean numbers of female students who played on a sports team are equal for all grades? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. (a) Identify the claim and state Ho and H₂. Choose the correct answer below. OA. Ho: At least one mean is different from the others. (claim) Ha: H1 H2 H3 H4=H5H6 ... OB. Ho: H₁ H₂=H3 = H4 (claim) Ha: At least one mean is different from the others. Grade Grade Grade Gra 9 10 11 12 56 45 51 58 62 65 64 63 133 125 115 10 112 106 82 85 FELBEE 87 84 77 86 71 81 65 69

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The table to the right shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 6 high schools in a state. At x = 0.05, can you reject the claim that the mean numbers of female students who played on a sports team are equal for all grades? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. (a) Identify the claim and state Ho and H₂. Choose the correct answer below. O A. Ho: At least one mean is different from the others. (claim) Ha: H1 H₂ H3 H4 H5H6 OC. Ho: H1 The critical value is Fo=- (Round to two decimal places as needed.) OB. Ho: H1 H₂ H3 H4 (claim) H₂ H3 H4 H5=H6 Ha: At least one mean is different from the others. (claim) (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is , and the degrees of freedom for the denominator, d.f.p, is. The rejection region is F ▼ (Round to two decimal places as needed.) (c) Calculate the test statistic. Ha: At least one mean is different from the others. OD. Ho: H1 H2 H3 H4 Ha: At least one mean is different from the others. (claim) F= (Round to three decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Choose the correct decision below. Grade Grade Grade Grade 9 10 11 12 49 65 102 84 65 69 64 63 133 112 106 51 58 56 62 125 115 87 77 86 81 71 82 85
Transcribed Image Text:The table to the right shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 6 high schools in a state. At x = 0.05, can you reject the claim that the mean numbers of female students who played on a sports team are equal for all grades? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. (a) Identify the claim and state Ho and H₂. Choose the correct answer below. O A. Ho: At least one mean is different from the others. (claim) Ha: H1 H₂ H3 H4 H5H6 OC. Ho: H1 The critical value is Fo=- (Round to two decimal places as needed.) OB. Ho: H1 H₂ H3 H4 (claim) H₂ H3 H4 H5=H6 Ha: At least one mean is different from the others. (claim) (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is , and the degrees of freedom for the denominator, d.f.p, is. The rejection region is F ▼ (Round to two decimal places as needed.) (c) Calculate the test statistic. Ha: At least one mean is different from the others. OD. Ho: H1 H2 H3 H4 Ha: At least one mean is different from the others. (claim) F= (Round to three decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Choose the correct decision below. Grade Grade Grade Grade 9 10 11 12 49 65 102 84 65 69 64 63 133 112 106 51 58 56 62 125 115 87 77 86 81 71 82 85
The table to the right shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 6 high schools in a state. At x = 0.05, can you reject the claim that the mean numbers of female students who played on a sports team are equal for all grades? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. The critical value is-Fo= (Round to two decimal places as needed.) The rejection region is F ▼ (Round to two decimal places as needed.) (c) Calculate the test statistic. F= (Round to three decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Choose the correct decision below. OA. Since F is not in the rejection region, reject Ho- OB. Since F is in the rejection region, fail to reject Ho- OC. Since F is not in the rejection region, fail to reject Ho. O D. Since F is in the rejection region, reject Ho- Interpret the decision in the context of the original claim. enough evidence at the 5% significance level to There the claim that the mean numbers of female students who played on a sports team is Grade Grade Grade Grade 10 11 9 64 51 56 63 58 62 12 49 65 102 84 65 133 125 115 112 106 87 77 86 81 71 69 82 85
Transcribed Image Text:The table to the right shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 6 high schools in a state. At x = 0.05, can you reject the claim that the mean numbers of female students who played on a sports team are equal for all grades? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. The critical value is-Fo= (Round to two decimal places as needed.) The rejection region is F ▼ (Round to two decimal places as needed.) (c) Calculate the test statistic. F= (Round to three decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Choose the correct decision below. OA. Since F is not in the rejection region, reject Ho- OB. Since F is in the rejection region, fail to reject Ho- OC. Since F is not in the rejection region, fail to reject Ho. O D. Since F is in the rejection region, reject Ho- Interpret the decision in the context of the original claim. enough evidence at the 5% significance level to There the claim that the mean numbers of female students who played on a sports team is Grade Grade Grade Grade 10 11 9 64 51 56 63 58 62 12 49 65 102 84 65 133 125 115 112 106 87 77 86 81 71 69 82 85
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