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Prom Costs: Upper Bound of Confidence Interval

APSTAT-EDGZNL

A group of students decided to construct a confidence interval to estimate the average cost of attending prom in their area. To gather data they surveyed a random sample of students who attended prom and surveyed them about how much they had spent.

If the sample mean was $\$914.32$ and the lower bound of their confidence interval was $\$863.57$, what was the largest cost estimated by the confidence interval?

A

$\$50.75$

B

$\$101.50$

C

$\$939.70$

D

$\$965.07$

E

$\$1015.82$