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=0.01, 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. 133 FF 33 33 ** ** Grade 9 Part 1 (a) Identify the claim and state HO Ha Part 2 Grade 10 51 វវជន និ៖ ឌឌ នន នន 51 72 72 125 125 58 (Round to two glecimal places as needed.) The rejection region is F F 58 (Round to two decimal places as needed.) Part 5 77 77 Grade 11 56 56 (c) Calculate the test statistic. F=_ (Round to three decimal places as needed.) Part 6 80 80 115 115 62 62 86 86 73 73 Grade 12 49 49 82 82 102 102 65 65 (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. The degrees of freedom for the denominator, d.f.D, is Part 3 The critical value is FO= 65 65 67 67 (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. Part 7 Interpret the decision in the context of the original claim. There enough evidence at the 1% significance level to, the claim that the mean numbers of female students who played on a sports team is,
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=0.01, 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. 133 FF 33 33 ** ** Grade 9 Part 1 (a) Identify the claim and state HO Ha Part 2 Grade 10 51 វវជន និ៖ ឌឌ នន នន 51 72 72 125 125 58 (Round to two glecimal places as needed.) The rejection region is F F 58 (Round to two decimal places as needed.) Part 5 77 77 Grade 11 56 56 (c) Calculate the test statistic. F=_ (Round to three decimal places as needed.) Part 6 80 80 115 115 62 62 86 86 73 73 Grade 12 49 49 82 82 102 102 65 65 (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. The degrees of freedom for the denominator, d.f.D, is Part 3 The critical value is FO= 65 65 67 67 (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. Part 7 Interpret the decision in the context of the original claim. There enough evidence at the 1% significance level to, the claim that the mean numbers of female students who played on a sports team is,
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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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 a=0.01, 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.
Grade 9
FF 33 28 28 28
Part 1
(a) Identify the claim and state HO Ha
Part 2
The critical value is
FO=
Grade 10
51
51
72
72
125
125
(c) Calculate the test statistic.
F=
(Round to two glecimal places as needed.)
The rejection region is F
F
(Round to two decimal places as needed.)
Part 5
58
58
77
77
79
79
Grade 11
56
56
(Round to three decimal places as needed.)
Part 6
80
80
115
115
62
62
86
86
73
73
Grade 12
49
49
82
82
(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,
The degrees of freedom for the denominator, d.f.D, is.
Part 3
102
102
65
65
65
65
67
67
(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.
Part 7
Interpret the decision in the context of the original claim.
There enough evidence at the 1% significance level to the claim that the mean numbers of female students who played on a sports team is,
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