Facts About the F Distribution · Exercise 27

Are the mean numbers of daily visitors to a ski resort the same for the three types of snow conditions? Suppose that shows the results of a study.

$$\begin{array}{ccc}\text{Powder}& \text{Machine Made}& \text{Hard Packed}\\ \text{1,210}& \text{2,107}& \text{2,846}\\ \text{1,080}& \text{1,149}& \text{1,638}\\ \text{1,537}& \text{862}& \text{2,019}\\ \text{941}& \text{1,870}& \text{1,178}\\ & \text{1,528}& \text{2,233}\\ & \text{1,382}& \end{array}$$
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 27