The director of a courier company estimates that the mean time spent by a deliveryman in dropping off packages per day is 6.0 hours. As a member of the labor union, you want to test this claim. A random sample of the number of hours for eight deliverymen for a day is shown in the table at the left. At α = 0.01, can you reject the director’s claim?

(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, and

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

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Delivery hours 5.4 5.5 6.3 6.2 4.9 5.6 6.1 6.2