The trade magazine QSR routinely checks the drive$-$through service times of fast$-$food restaurants. A $90\%$ confidence interval that results from

examining $750$ customers in Taco Bell's drive$-$through has a lower bound of $157\mathrm{.}3$ seconds and an upper bound of $160\mathrm{.}9$ seconds. Complete

parts $($a$)$ through $($c$).$

$($a$)$ What is the mean service time from the $750$ customers?

The mean service time from the $750$ customers is seconds

$($Type an integer or a decimal. Do not round.$)$

$($b$)$ What is the margin of error for the confidence interval?

The margin of error is seconds.

$($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 $\%$ probability that the mean drive$-$through service time of Taco Bell is between

seconds and

seconds.

B$.$ One can be

$\%$ confident that the mean drive$-$through service time of Taco Bell is between

seconds and

seconds.

C$.$ One can be

$\%$ confident that the mean drive$-$through service time of Taco Bell is

seconds.

D$.$ The mean drive$-$through service time of Taco Bell is

seconds

$\%$ of the time.