Facts About the F Distribution · Exercise 25

Are the means for the final exams the same for all statistics class delivery types? shows the scores on final exams from several randomly selected classes that used the different delivery types.

$$\begin{array}{ccc}\text{Online}& \text{Hybrid}& \text{Face-to-Face}\\ \text{72}& \text{83}& \text{80}\\ \text{84}& \text{73}& \text{78}\\ \text{77}& \text{84}& \text{84}\\ \text{80}& \text{81}& \text{81}\\ \text{81}& & \text{86}\\ & & \text{79}\\ & & \text{82}\end{array}$$
Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

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

OpenStax, Introductory Statistics 2e · §13.3 Facts About the F Distribution · Exercise 25