Assume The Samples Are Random And Independent The Populations Are Normally Distributed And The Population Variances Ar 1 (131.7 KiB) Viewed 40 times
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. (a) Let My, M2, M3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and Ha: Ho: Mn = P2 = M3 Х Ha: At least one mean is different from the others. Cost of batteries by type The claim is the alternative hypothesis. 89 (b) Find the critical value, Fo, and identify the rejection region. Group size 35 Group size 65 Group size 24/24F 100 146 85 111 175 125 121 181 140 126 279 140 80 The rejection region is F > Fo, where Fo (Round to two decimal places as needed.)
(c) Find the test statistic F. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho because the test statistic in the rejection region. (e) Interpret the decision in the context of the original claim. There enough evidence at the % level of significance to (Type an integer or a decimal.) the claim that mean battery price is the others.
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