Facts About the F Distribution · Try It 1

Four sports teams took a random sample of players regarding their GPAs for the last year. The results are shown in.

$$\begin{array}{cccc}\text{Basketball}& \text{Baseball}& \text{Hockey}& \text{Lacrosse}\\ \text{3.6}& \text{2.1}& \text{4.0}& \text{2.0}\\ \text{2.9}& \text{2.6}& \text{2.0}& \text{3.6}\\ \text{2.5}& \text{3.9}& \text{2.6}& \text{3.9}\\ \text{3.3}& \text{3.1}& \text{3.2}& \text{2.7}\\ \text{3.8}& \text{3.4}& \text{3.2}& \text{2.5}\end{array}$$
Use a significance level of 5 percent and determine if there is a difference in GPA among the teams.

OpenStax, Statistics · §13.3 Facts About the F Distribution · Try It 1