You are the manager of a restaurant for a fast-food franchise
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You are the manager of a restaurant for a fast-food
franchise. Last month, the mean waiting time at thedrive-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 3.43 minutes, with a sample standard deviation of 0.9 minute. Complete
parts (a) and (b) below.
a. At the 0.10 level of significance, is there evidence
that the population mean waiting time is different from 3.7 minutes? State the
null and alternative hypotheses.
(Note: ? represents one of the following "≠, >, ≥, =, <, ≤"
____ represents an integer)
H0 : μ ? ____
H1 : μ ? ____
Determine the test statistic.
The test statistic is _____
Find the p-value.
p-value = _____
State the conclusion.
Note: Choose one per ( )
(Do not reject, Reject, Upper) H0. There is
(insufficient, sufficient) evidence to conclude that the population mean
waiting time is different from 3.7 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.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.
B. 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.
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 this sample size unless the population is skewed.
D. 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.
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