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

Acme claims that it takes a mean of 150 hours to produce a shipment of cartons with a standard deviation of 70 hours. We want to col- lect enough data to show that the standard deviation is actually less. In a sample of 300 shipments, the mean time to produce a shipment is 158 hours with a standard deviation of 60 hours.

(a) Develop the null and alternative hypotheses.

(b) At α = 0.01, what is the rejection rule?

(c) What is the value of the test statistic χ2?

(d) Has the researcher collected sufficient data to reject H0?

(e) Based on your answer in part (d), what is our conclusion as it relates to this situation?

math   Statistics-And-Probability   
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