14 Grade Grade Grade Grade eThe 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 a = 0.10, 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 isdrawn from a normal population, that the samples are independent of each other, and that the populations have the same variances.9101112918781771121068784827786656451564913312511510298948885(a) Identify the claim and state Ho and Ha. Choose the correct answer below.O A. Ho: H1 = H2 = H3 = H4 (claim)O B. Ho: H1 = H2 = H3 = H4 = H5 = H6Ha: At least one means different from the others.Ha: At least one mean is different from the others. (claim)OC. Ho: At least one mean is different from the others. (claim)O D. Ho: H1 = H2 =H3 = H4Ha: H1 = H2 = H3 = H4 = H5 = H6Ha: 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,,isand the degrees of freedom for the denominator, d.f.p, isThe 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.O A. Since F is in the rejection region, reject Ho.O B. Since F is not in the rejection region, fail to reject Ho:O C. Since F is not in the rejection region, reject Ho.O D. Since F is in the rejection region, fail to reject Ho.Interpret the decision in the context of the original claim.ThereV enough evidence at the 10% significance level toV the claim that the mean numbers of female students who played on a sports team is

Name: 14 Grade Grade Grade Grade eThe table to the right shows the number of
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Description: 14 Grade Grade Grade Grade eThe 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 a = 0.10, can you reject the claim that the mean numbers of

ANOVA: ANOVA is useful method to check the Significance difference between the two or more than two…

The table to the right shows the number of female students who played on a sports team in grades 9thvough 12 for a random sample of 6high schools in a state. At a0.10, can you reject the caim that the mean numbers of female students who played on a sports team are equal for all grades? Perfom a oneway ANOVA test by completing parts a thvough d. Assume that each sample in drawn from a nomal population, hat he samples are independent of each other, and hat he populations have the same variances. 10 1 115 94 (a) identify the claim and state H and Choose the comect answer below OA "a " " (claim) OB H a s HAl least one mean is diferent trom the others H Al least one mean is different from the others. (claim) OC. H Atleast one mean is diferent trom the others. (claim) H " """s " HAl least one mean is different from the others (claim) (b) ldentify 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, df i and the degrees of theedom for the denominator, dfo iO The criical value is Fa-O (Round to two decimal places as needed) The rejection region is F n (Round to two decimal places as needed) (e) Calulate the test statistic (Round to thvee decimal places as needed.) (4) Decide to reject or fail to reject e nulhypothesis and interpret the decision in the context of the original claim. Choose the corect decision below. OA Since Fisin he reection region, reject H O. Since Fis not in the rejection region, falto reject H OC. Since Fis not in the rejection region, reject H OD. Since Fis in he rejection region, fail to reject H Interpret the deciion in the context of the original claim There enough evidence at the 10% significance level to he claim that the mean numbers of female students who played on a sports team is

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Grade Grade Grade Grade e
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 a = 0.10, 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.
9
10
11
12
91
87
81
77
112
106
87
84
82
77
86
65
64
51
56
49
133
125
115
102
98
94
88
85
(a) Identify the claim and state Ho and Ha. Choose the correct answer below.
O A. Ho: H1 = H2 = H3 = H4 (claim)
O B. Ho: H1 = H2 = H3 = H4 = H5 = H6
Ha: At least one mean
s different from the others.
Ha: At least one mean is different from the others. (claim)
OC. Ho: At least one mean is different from the others. (claim)
O D. Ho: H1 = H2 =H3 = H4
Ha: H1 = 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 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.
O A. Since F is in the rejection region, reject Ho.
O B. Since F is not in the rejection region, fail to reject Ho:
O C. Since F is not in the rejection region, reject Ho.
O D. Since F is in the rejection region, fail to reject Ho.
Interpret the decision in the context of the original claim.
There
V enough evidence at the 10% significance level to
V the claim that the mean numbers of female students who played on a sports team is

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