You may need to use the appropriate technology to answer this question. Develop the analysis of variance computations for the following completely randomized design. At a = 0.05, is there a significant difference between the treatment means? A 137 119 113 108 132 113 129 109 120 Treatment B OHO: HAHBHc # HHAHB=HC 106 OHO: HAHB = Hc H₂HA #HB HC 113 126 103. 106 110 97 113 105 91 C 107 93 83 86 102 89 117 111 xj s,² 125.43 91.11 174.22 119 98 112 101 State the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂HA=HB=HC OHO: HAHBHc H: Not all the population means are equal. OH: At least two of the population means are equal. H: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
You may need to use the appropriate technology to answer this question. Develop the analysis of variance computations for the following completely randomized design. At a = 0.05, is there a significant difference between the treatment means? A 137 119 113 108 132 113 129 109 120 Treatment B OHO: HAHBHc # HHAHB=HC 106 OHO: HAHB = Hc H₂HA #HB HC 113 126 103. 106 110 97 113 105 91 C 107 93 83 86 102 89 117 111 xj s,² 125.43 91.11 174.22 119 98 112 101 State the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂HA=HB=HC OHO: HAHBHc H: Not all the population means are equal. OH: At least two of the population means are equal. H: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
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:You may need to use the appropriate technology to answer this question.
Develop the analysis of variance computations for the following completely randomized design. At a = 0.05, is there a
significant difference between the treatment means?
x₁
A
137
119
113
108
132
113
129
109
120
Treatment
B
OHO: HAMBUC
Ha HA= B = MC
106
Ho: MAHB = "c
=
Ha: HAMBHC
113
126
103
106
110
97
113
105
91
107
с
93
83
86
102
89
117
111
119
98
112
125.43 91.11 174.22
101
State the null and alternative hypotheses.
O Ho: Not all the population means are equal.
H₂HAMB=HC
OH₂ HA=HB = "c
H₂: Not all the population means are equal.
OH: At least two of the population means are equal.
H₂: At least two of the population means are different.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
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