9. Following are the caloric values of the fat content of meals served at three elementary school: 143 School 1: School 2: School 3: 127 127 147 146 132 142 138 132 117 143 134 140 142 157 146 124 137 141 130 144 148 130 145 (a) Given that x, = 138, x, = 135, x,= 141, s- 111.43, S= 68.29, and S=77.71, calculate n S for these data, the mean of the variances of the three samples, and the value of F. (b) Assuming that these data constitute random samples from three normal populations with the same standard deviation, test at the 0.05 level of significance whether the differences among the three sample means can be attributed to chance.

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9. Following are the caloric values of the fat content of meals served at three elementary school:
School 1:
127
143
142
117
140
146
141
148
School 2:
127
146
138
143
142
124
130
130
School 3:
147
132
132
134
157
137
144
145
(a) Given that x, = 138, x, = 135, x,= 141, s-111.43, S= 68.29, and S=77.71, calculate n S for these data, the mean of the
variances of the three samples, and the value of F.
(b) Assuming that these data constitute random samples from three normal populations with the same standard deviation, test at
the 0.05 level of significance whether the differences among the three sample means can be attributed to chance.
Transcribed Image Text:9. Following are the caloric values of the fat content of meals served at three elementary school: School 1: 127 143 142 117 140 146 141 148 School 2: 127 146 138 143 142 124 130 130 School 3: 147 132 132 134 157 137 144 145 (a) Given that x, = 138, x, = 135, x,= 141, s-111.43, S= 68.29, and S=77.71, calculate n S for these data, the mean of the variances of the three samples, and the value of F. (b) Assuming that these data constitute random samples from three normal populations with the same standard deviation, test at the 0.05 level of significance whether the differences among the three sample means can be attributed to chance.
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