You are the manager of a restaurant for a fast-food franchise. Last month, the m

Question

You are the manager of a restaurant for a fast-food franchise. Last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.7 minutes. You select a random sample of 81 orders. The sample mean waiting time is 3.91 minutes, with a sample standard deviation of 0.9 minute. Complete parts (a) and (b) below. a. At the 0.01 level of significance, is there evidence that the population mean waiting time is different from 3.7 minutes? State the null and alternative hypotheses. H_0: mu (Type integers or decimals.) Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed) State the conclusion H_0. There is evidence to conclude that the population mean waiting time is different from 3.7 minutes.

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 3.7
HA : 3.7

Hypothesis test results:

Hence,

a) Hypotheses:

H0 : = 3.7
HA : 3.7

Test statistic = 2.1

P - value = 0.039

Do not reject; No

Mean Sample Mean Std. Err. DF T-Stat P-value 3.91 0.1 80 2.1 0.0389

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