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 Given that x1 = 138, x2 = 135, x3 = 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. 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.
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 Given that x1 = 138, x2 = 135, x3 = 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. 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.
Calculus For The Life Sciences
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Related questions
Question
- 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 |
- Given that x1 = 138, x2 = 135, x3 = 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.
- 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.
![9. Following are the caloric values of the fat content of meals served at three elementary
school:
School 1:
127
143
142
117
140
142
157
146
141
148
130
School 2:
School 3:
127
146
138
143
134
124
130
147
132
132
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe22390ba-e7f1-469e-914e-4ed7a86a86f6%2Fb6901936-021e-4095-9681-027213e8ede7%2Fj2pgw8s_processed.png&w=3840&q=75)
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
142
157
146
141
148
130
School 2:
School 3:
127
146
138
143
134
124
130
147
132
132
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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