in grams. Linda feeds her rats Formula A, Tuan feeds his ra
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Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded.
| Formula C | Formula B | Formula A |
|---|---|---|
| 16 | 31 | 47 |
| 57 | 51 | 44 |
| 55 | 53 | 54 |
| 15 | 43 | 60 |
| 28 | 48 | 28 |
| 34 | 44 | 35 |
| 38 | 19 | 58 |
Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.1.
State the null and alternative hypotheses, compute the test statistic, the p-value, and and state the conclusion of the test
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