Facts About the F Distribution · Exercise 20

Three students, Linda, Tuan, and Javier, are given five laboratory rats each 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. Using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain.

$$\begin{array}{ccc}\text{Linda’s rats}& \text{Tuan’s rats}& \text{Javier’s rats}\\ \text{43.5}& \text{47.0}& \text{51.2}\\ \text{39.4}& \text{40.5}& \text{40.9}\\ \text{41.3}& \text{38.9}& \text{37.9}\\ \text{46.0}& \text{46.3}& \text{45.0}\\ \text{38.2}& \text{44.2}& \text{48.6}\end{array}$$

This is an open-ended exercise: its source gives no single answer.

OpenStax, Introductory Statistics 2e · §13.3 Facts About the F Distribution · Exercise 20