A delivery company claims that the mean time it takes to deliver frozen food between two particular cities is 4 hours. A consumer advocacy group wishes to show at the 5% level that the mean time is greater than 4 hours. A random sample of 50 deliveries yielded a sample mean of 4.2 hours with a standard deviation of 0.5 hours. 1. Set up the null and alternative hypotheses. 2. Compute the test statistic. 3. State the p-value for the test. Also, state the decision and conclusion of the test in context.

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A delivery company claims that the mean time it takes to deliver frozen food between two particular cities is 4 hours. A consumer advocacy group wishes to show at the 5% level that the mean time is greater than 4 hours. A random sample of 50 deliveries yielded a sample mean of 4.2 hours with a standard deviation
of 0.5 hours.


1. Set up the null and alternative hypotheses.
2. Compute the test statistic.
3. State the p-value for the test. Also, state the decision and conclusion of the test in context.

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