Question: If null hypothesis is rejected in this problem use Scheffe test if the sample sizes are unequal to test the differences between the means, and use the Tukey test if the sample sizes are equal. For this problem, state hypotheses and identify the claim, find the critical value(s), compute the test value, make the decision, summarize the results.

The weights in ounces of 4 types of women's shoes are shown here. At \(\alpha \) = 0.05 test the claim that there is no difference in the mean weights of the groups.