A Study of 55 Professors Showed That the Average Time $14.5 < \mu < 18.5$

Multiple Choice

A study of 55 professors showed that the average time they spent creating test questions was 16.5 minutes per question. The standard deviation of the population is 5.8. Which
Of the following is the 99% confidence interval for the average number of minutes it
Takes to create a test question?

A) $14.5 < \mu < 18.5$
B) $15.5 < \mu < 17.5$
C) $14.7 < \mu < 18.3$
D) $12.5 < \mu < 20.5$