A Group of 59 Randomly Selected Students Have a Mean $29.5$

Multiple Choice

A group of 59 randomly selected students have a mean score of $29.5$ with a standard deviation of $5.2$ on a placement test. What is the $90 \%$ confidence interval for the mean score, $\mu$ , of all students taking the test?

A) $28.2 < \mu < 30.8$
B) $28.4 < \mu < 30.6$
C) $27.8 < \mu < 31.2$
D) $27.9 < \mu < 31.1$