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 percent, test the hypothesis that the three formulas produce the same mean weight gain.

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

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