Question

# You may need to use the appropriate technology to answer this question. Develop the analysis of...

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 α = 0.05, is there a significant difference between the treatment means?

Treatment
A B C
136 106 93
119 113 83
113 126 84
106 103 101
132 107 90
114 109 116
129 98 111
103 115 119
105 97
78 116

xj

119 106 101

sj2

149.14 155.33 187.56

State the null and alternative hypotheses.

tH0: At least two of the population means are equal.
Ha: At least two of the population means are different.

H0: μA = μB = μC
Ha: μA ≠ μB ≠ μC

H0: Not all the population means are equal.
Ha: μA = μB = μC

H0: μA = μB = μC
Ha: Not all the population means are equal

H0: μA ≠ μB ≠ μC
Ha: μA = μB = μC

p-value =

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

.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.

The statistical software output for this problem is :

Option D is correct.

Test statistics = 4.53

P-value = 0.0209

Option A is correct .

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