A courier service advertises that its average delivery time is less than 3 hours for deliveries in the Vancouver area. The distribution of delivery times is known to be normal, with standard deviation 1.2 hours. A random sample of 20 deliveries yielded a sample mean delivery time of 3.27 hours. Consider a test of the null hypothesis that the population mean is 3 against the one sided alternative that the population mean delivery time is greater than 3. Answer the following, rounding your answers to three decimal places where appropriate. (a) What is the test statistic? (b) What is the p-value of the test?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A courier service advertises that its average delivery time is less than 3 hours for deliveries in the Vancouver area. The distribution of delivery times is known to be normal, with standard deviation 1.2 hours. A random sample of 20 deliveries yielded a sample mean delivery time of 3.27 hours. Consider a test of the null hypothesis that the population mean is 3 against the one sided alternative that the population mean delivery time is greater than 3. Answer the following, rounding your answers to three decimal places where appropriate.

(a) What is the test statistic?

(b) What is the p-value of the test? 

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