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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66592c3b-7fb7-4dab-bf9a-170b002559ae%2F18a9728a-fb50-454a-b8c2-31ca82b0fa3a%2Fkiehcmx_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66592c3b-7fb7-4dab-bf9a-170b002559ae%2F18a9728a-fb50-454a-b8c2-31ca82b0fa3a%2Fw521ac_processed.jpeg&w=3840&q=75)
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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