The table shows the costs per mile (in cents) for a sample of automobiles. At α = 0.01, can you conclude that at least one mean cost per mile is different from the others?

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value and identify the rejection region, 

(c) Find the test statistic F, 

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal.

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Small sedan Medium sedan SUV 4WD Minivan Large sedan 41 39 65 47 61 57 62 50 60 69 64 79 58 67 70 74 57 47 52 79 71 76 68 49 44 68