The following data are from a completely randomized design. Sample mean Sample variance A 163 141 166 144 148 168 155 Treatment B 142 157 123 142 135 147 141 C с 126 122 138 139 149 124 133 144.0 130.8 113.6

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The following data are from a completely randomized design.
Sample
mean
Sample
variance
A
163
141
166
144
148
168
155
Treatment
B
142
157
123
142
135
147
141
с
126
122
138
139
149
124
133
144.0 130.8 113.6
Transcribed Image Text:The following data are from a completely randomized design. Sample mean Sample variance A 163 141 166 144 148 168 155 Treatment B 142 157 123 142 135 147 141 с 126 122 138 139 149 124 133 144.0 130.8 113.6
Source
of Variation
Treatments
Error
Total
Sum
of Squares
Degrees
of Freedom
O Ho: Not all the population means are equal.
H₂: MA = B = Mc
O H₂ HA= HB = μc
Ha: μA #HB HC
(f) At the a = 0.05 level of significance, test whether the means for the three treatments are equal.
State the null and alternative hypotheses.
OHO: HA MB Mc
#
Hải MA = MBH c
Mean
Square
Ho: MA= B = μc
Ha: : Not all the population means are equal.
O H.: 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.)
F
Find the p-value. (Round your answer to four decimal places.)
p-value =
p-value
State your conclusion.
O Do not reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
Do not reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal.
Reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal.
Reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
Transcribed Image Text:Source of Variation Treatments Error Total Sum of Squares Degrees of Freedom O Ho: Not all the population means are equal. H₂: MA = B = Mc O H₂ HA= HB = μc Ha: μA #HB HC (f) At the a = 0.05 level of significance, test whether the means for the three treatments are equal. State the null and alternative hypotheses. OHO: HA MB Mc # Hải MA = MBH c Mean Square Ho: MA= B = μc Ha: : Not all the population means are equal. O H.: 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.) F Find the p-value. (Round your answer to four decimal places.) p-value = p-value State your conclusion. O Do not reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal. Reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal. Reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
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