Flash Drive Cycles A company claims that the mean number of usage cycles of their flash drives is at least 25,000 hours. You suspect this claim is incorrect and find that a random sample of 15 flash drives has a mean number of 24,500 usage cycles and a standard deviation of 750 usage cycles. Is there enough evidence to reject the claim at α = 0.01?

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

(b) find the critical value(s) and identify the rejection region(s),

(c) find the standardized test statistic t,

(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 population is normally distributed.