A marine biologist claims that the mean dive duration of a harbor seal in Monterey Bay is at least 5.8 minutes. A random sample of 35 dive durations has a mean of 4.9 minutes and a standard deviation of 1.8 minutes. Is there enough evidence to reject the claim at α = 0.01?

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

(b) Use technology to find the P-value,

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

(d) Interpret the decision in the context of the original claim. Assume the population is normally distributed.