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 64 orders. The sample mean waiting time is 3.92 minutes, with a sample standard deviation of 0.8 minute. 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. H0:µ ▼ enter your response here H1: µ ▼ not equals less than or equals greater than or equals greater than less than equals enter your response here (Type integers or decimals.) Part 2 Determine the test statistic. The test statistic is enter your response here. (Round to two decimal places as needed.) Part 3 Find the p-value. p-value = enter your response here (Round to three decimal places as needed.) Part 4 State the conclusion. ▼ Do not reject Reject H0 . There is ▼ sufficient insufficient evidence to conclude that the population mean waiting time is different from 3.7 minutes. Part 5 b. Because the sample size is , 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. No, because n is equal to , 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. B. No, because n is equal to , 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 , the sampling distribution of the t test cannot be determined. In general, the t test is only appropriate for a normally distributed sample. D. Yes, because n is equal to , the sampling distribution of the t test cannot be determined. In general, the t test requires a larger sample size.
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 64 orders. The sample mean waiting time is 3.92 minutes, with a sample standard deviation of 0.8 minute.
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. H0:µ ▼ enter your response here H1: µ ▼ not equals less than or equals greater than or equals greater than less than equals enter your response here (Type integers or decimals.)
Part 2 Determine the test statistic.
The test statistic is enter your response here. (Round to two decimal places as needed.)
Part 3 Find the p-value.
p-value = enter your response here (Round to three decimal places as needed.)
Part 4 State the conclusion. ▼ Do not reject Reject H0 . There is ▼ sufficient insufficient evidence to conclude that the population mean waiting time is different from 3.7 minutes.
Part 5 b. Because the
A. No, because n is equal to , 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.
B. No, because n is equal to , 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 , the sampling distribution of the t test cannot be determined. In general, the t test is only appropriate for a
D. Yes, because n is equal to , the sampling distribution of the t test cannot be determined. In general, the t test requires a larger sample size.
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