Solve the Problem $\begin{array} { l l l l l l l l l l } 62 & 70 & 61 & 64 & 75 & 54 & 72 & 68 & 74 & 54 \end{array}$

Multiple Choice

Solve the problem. Round your answer to one decimal place, if necessary.
-A random sample of 30 long distance runners aged 20-25 was selected from a running club. The resting heart rates (in beats per minute) of the runners are shown below. Find the 95% confidence interval for the mea resting heart rate for the population of long distance runners aged 20-25.

$\begin{array} { l l l l l l l l l l } 62 & 70 & 61 & 64 & 75 & 54 & 72 & 68 & 74 & 54 \end{array}$
$\begin{array} { l l l l l l l l l l } 75 & 70 & 62 & 66 & 79 & 73 & 81 & 60 & 66 & 76 \end{array}$
$\begin{array} { l l l l l l l l l l l } 67 & 62 & 71 & 68 & 62 & 86 & 76 & 60 & 53 & 71 \end{array}$
$\begin{array} { l l l l l l l l l l } 62 & 70 & 61 & 64 & 75 & 54 & 72 & 68 & 74 & 54 \\ 75 & 70 & 62 & 66 & 79 & 73 & 81 & 60 & 66 & 76 \\ 67 & 62 & 71 & 68 & 62 & 86 & 76 & 60 & 53 & 71 \end{array}$

A) $64.6$ beats per minute $< \mu < 71.6$ beats per minute
B) $64.1$ beats per minute $< \mu < 70.1$ beats per minute
C) $63.7$ beats per minute $< \mu < 72.2$ beats per minute
D) $64.9$ beats per minute $< \mu < 70.9$ beats per minute