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 3.6 minutes. You select a random sample of 81 orders. The sample mean waiting time is 3.38 ​minutes, with a sample standard deviation of 0.9 minute. 1. At then 0.01 level of​ significance, is there evidence that the population mean waiting time is different from 3.6 minutes? State the null and alternative hypotheses H0:  H1: Determine the test statistic.

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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 3.6 minutes. You select a random sample of 81 orders. The sample mean waiting time is 3.38 ​minutes, with a sample standard deviation of 0.9 minute.

1. At then 0.01 level of​ significance, is there evidence that the population mean waiting time is different from 3.6 minutes? State the null and alternative hypotheses

H0: 

H1:

Determine the test statistic.
 
The test statistic is ____
 
the t critical is​ t.025,63 = 1.9983 since the t tstat is not more than t critical do not reject
 
State the conclusion.
 
__A___ H0. There is __B___ evidence to conclude that the population mean waiting time is different from 3.6 minutes. 
 
A: Reject or do not reject
B: sufficient or insufficient
 
2. 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 a large sample size.
 
C. 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.
 
D. ​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 since n​ > 30
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