Facts About the F Distribution · Exercise 26

Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics, and Asians? Suppose that shows the results of a study.

$$\begin{array}{cccc}\text{White}& \text{Black}& \text{Hispanic}& \text{Asian}\\ \text{6}& \text{4}& \text{7}& \text{8}\\ \text{8}& \text{1}& \text{3}& \text{3}\\ \text{2}& \text{5}& \text{5}& \text{5}\\ \text{4}& \text{2}& \text{4}& \text{1}\\ \text{6}& & \text{6}& \text{7}\end{array}$$
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.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §13.3 Facts About the F Distribution · Exercise 26