The heights (in feet) of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At α = 0.05, is there enough evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet?

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

(b) Find the standardized test statistic z.

(c) Find the corresponding P-value.

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

(e) Interpret the decision in the context of the original claim.

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