Use the Given Degree of Confidence and Sample Data to Construct

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution.
-The principal randomly selected six students to take an aptitude test. Their scores were: $\begin{array} { l l l l l l } 88.0 & 84.1 & 74.9 & 83.2 & 83.7 & 85.5\end{array}$
Determine a 90% confidence interval for the mean score for all students.

A) $79.49 < \mu < 86.98$
B) $86.98 < \mu < 79.49$
C) $79.59 < \mu < 86.88$
D) $86.88 < \mu < 79.59$