A Study of 65 Bolts of Carpet Showed That Their $74.2$

Multiple Choice

A study of 65 bolts of carpet showed that their average length was $74.2$ yards. The standard deviation of the population is $3.6$ yards. Which of the following is the $98 \%$ confidence interval for the mean length per bolt of carpet?

A) $73.2 < \mu < 75.2$
B) $72.1 < \mu < 76.3$
C) $73.7 < \mu < 74.7$
D) $73.3 < \mu < 75.1$