Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.05, is there enough evidence to conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. Click the icon to view the battery cost data. (a) Let p1. H2. Hg represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and He Ho: P1 = P2 = H3 He: At least one mean is different from the others. The claim is the alternative hypothesis. (b) Find the critical value, Fo, and identify the rejection region. The rejection region is F > Fo, where Fo = 3.89. (Round to two decimal places as needed.) (c) Find the test statistic F. F= (Round to two decimal places as needed.)