Reference no: EM132344090
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 3.8 minutes. You select a random sample of 81 orders. The sample mean waiting time is 3.92 ?minutes, with a sample standard deviation of 0.9 minute. Complete parts? (a) and? (b) below.
a. At the 0.05 level of? significance, is there evidence that the population mean waiting time is different from 3.8 ?minutes? State the null and alternative hypotheses.
H0 : u
H1 : u
Determine the test statistic.
The test statistic is __
Find the P Value.
P-Value = __
State the Conclusion __ H0. There is __ evidence to conclude that the population mean waiting time is different from 3.8 minutes.
b. Because the sample size is 81?, do you need to be concerned about the shape of the population distribution when conducting the t test in? (a)? Explain. Choose the correct answer below.
A Yes, because n is equal to 81?, the sampling distribution of the t test cannot be determined. In? general, the t test requires a larger sample size.
B No, because n is equal to 81?, the sampling distribution of the t test is approximately normal. In? general, the t test is appropriate for this sample size unless the population is skewed.
C ?No, because n is equal to 81?, the sampling distribution of the t test is approximately normal. In? general, the t test is appropriate for a large sample size.
D Yes, because n is equal to 81?, the sampling distribution of the t test cannot be determined. In? general, the t test is only appropriate for a normally distributed sample.
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