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 = 0.10, 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. (@) Let Hy . Pz. Ha represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and He Ho: 14 = 12 = H3 Hai At least one mean is different from the others. X Cost of batteries by type The claim is the alternative hypothesis. (b) Find the critical value, Fo, and identify the rejection region. Group size 35 91 101 109 120 124 Group size 65 0 145 174 180 278 The rejection region is F > Fo. where Fo =] Group size 24 / 24F 80 85 126 140 140 (Round to two decimal places as needed.) Print Done