The trade magazine QSR routinely checks the drive-through service times of fast-food restaurants. A 99\% confidence interval that results from examining 575 customers in Taco Bell's drive-through has a lower bound of 162.8 seconds and an upper bound of 168.0 seconds. Complete parts (a) through (c).
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(Type an integer or a decimal. Do not round.)
(c) Interpret the confidence interval.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
A. There is a $\square \%$ probability that the mean drive-through service time of Taco Bell is between $\square$ seconds and $\square$ seconds.
B. The mean drive-through service time of Taco Bell is $\square$ seconds $\square \%$ of the time.
c. One can be $\square \%$ confident that the mean drive-through service time of Taco Bell is between seconds and $\square$ seconds.
D. One can be $\square \%$ confident that the mean drive-through service time of Taco Bell is $\square$ seconds.
Answer
Final Answer: \boxed{\text{One can be 99\% confident that the mean drive-through service time of Taco Bell is between 162.8 seconds and 168.0 seconds.}}
Step 1 ：The question is asking for the interpretation of a confidence interval. A confidence interval is a range of values, derived from a statistical calculation, that is likely to contain an unknown population parameter. In this case, the population parameter is the mean drive-through service time of Taco Bell. The confidence level is defined as the percentage of all possible samples that can be expected to include the true population parameter. Here, the confidence level is 99%. The lower bound of the confidence interval is 162.8 seconds and the upper bound is 168.0 seconds.
Step 2 ：The correct interpretation of the confidence interval in this context would be: 'We are 99% confident that the mean drive-through service time of Taco Bell is between 162.8 seconds and 168.0 seconds.'
Step 3 ：Final Answer: \boxed{\text{One can be 99\% confident that the mean drive-through service time of Taco Bell is between 162.8 seconds and 168.0 seconds.}}
