You receive a brochure from a courier company. The brochure indicates that the mean number of deliveries per deliveryman is more than 28 packets per day. You want to test this claim. You randomly select 18 deliverymen and determine the number of deliveries of each person per day. The results are shown in the table at the left. At α = 0.05, can you support the company’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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Number of deliveries per day 25 23 26 28 32 29 23 21 31 25 29 26 31 27 28 24 35 30