Develop the analysis of variance computations for the following completely randomized design. At ? = 0.05, is there a significant difference between the treatment means? Treatment A B C 136 106 91 121 113 83 112 126 84 106 105 101 130 106 89 114 109 118 129 98 110 104 114 120 105 97 88 107 xj 119 107 100 sj2 140.29 100.22 181.11 State the null and alternative hypotheses. H0: ?A = ?B = ?C Ha: Not all the population means are equal.H0: ?A = ?B = ?C Ha: ?A ≠ ?B ≠ ?C H0: Not all the population means are equal. Ha: ?A = ?B = ?CH0: At least two of the population means are equal. Ha: At least two of the population means are different.H0: ?A ≠ ?B ≠ ?C Ha: ?A = ?B = ?C 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. Do not reject H0. There is sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is 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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Question

Develop the analysis of variance computations for the following completely randomized design. At ? = 0.05, is there a significant difference between the treatment means?

	Treatment
A	B	C
	136	106	91
121	113	83
112	126	84
106	105	101
130	106	89
114	109	118
129	98	110
104	114	120
	105	97
	88	107
x_j	119	107	100
s_j²	140.29	100.22	181.11

State the null and alternative hypotheses.

H₀: ?_A = ?_B = ?_C
H_a: Not all the population means are equal.H₀: ?_A = ?_B = ?_C
H_a: ?_A ≠ ?_B ≠ ?_C H₀: Not all the population means are equal.
H_a: ?_A = ?_B = ?_CH₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: ?_A ≠ ?_B ≠ ?_C
H_a: ?_A = ?_B = ?_C

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.

Do not reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.Reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

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