Geoff is the proud owner of a restaurant. Recently he read an article in Food We

Question

Geoff is the proud owner of a restaurant. Recently he read an article in Food Weekly which stated that the population mean preparation time for food at popular restaurants is equal to 28 minutes. A footnote at the bottom of the article said that the population standard deviation of preparation times was equal to 6 minutes. Geoff is interested in determining whether his restaurant has the same average preparation time as the popular restaurants described in the magazine article. Geoff timed how long it took to prepare 32 randomly selected meals over a week. The mean preparation time for the sample was calculated as 27 minutes. Geoff would like to use his sample to construct a hypothesis test with H_0: mu = 28 and H_a: mu notequalto 28. Calculate the P-value that corresponds to the sample and hypotheses. Give your answer as a decimal to 4 decimal places. P-value = _____ Using the P-value for Geoff's hypothesis test and a level o = 0.05, Geoff should _____ the null hypothesis.

Explanation / Answer

a. the probability value that corresponding to the sample and hypothesis is 0.3422.

b. based on the p-value geoff's should accept the null hypothesis.

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