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2) Acme claims that it takes a mean of 150 hours to produce a shipment of...

2) Acme claims that it takes a mean of 150 hours to produce a shipment of cartons. We want to collect enough data to show that the mean is actually more. In a sample of 300 shipments, the mean time to produce a shipment is 158 hours with a standard deviation of 60 hours.

(a) Determine the null and alternative hypotheses:

(b) Using α = 0.03, what is the rejection rule?

(c) Compute the test statistic.

(d) Should we reject H0?

(e) Based on your answer in part (d), what is your conclusion for THIS SITUATION? Be specific.

Math   Statistics-And-Probability   
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Let X be the time(in hours) it takes to produce the shipment of cartons. In a sample of 300 shipments the mean time to producer shipment is 158 hours with a standard deviation of 60 hours.

We want to test the claim that the mean time to produce shipment of cartons is more than 150 hours.

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