Test of Two Variances · Exercise 17

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.

$$\begin{array}{ccc}\text{Linda’s Rats}& \text{Tuan’s Rats}& \text{Javier’s Rats}\\ \text{43.5}& \text{47.0}& \text{51.2}\\ \text{39.4}& \text{40.5}& \text{40.9}\\ \text{41.3}& \text{38.9}& \text{37.9}\\ \text{46.0}& \text{46.3}& \text{45.0}\\ \text{38.2}& \text{44.2}& \text{48.6}\end{array}$$
Determine whether the variance in weight gain is statistically the same between Javier’s and Linda’s rats. Test at a significance level of 10 percent.

OpenStax, Statistics · §13.4 Test of Two Variances · Exercise 17