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 football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: $\begin{array} { l l l l l } 7.0 & 10.8 & 9.5 & 8.0 & 11.5 \end{array}$
$\begin{array} { l l l l l } 7.5 & 6.4 & 11.3 & 10.2 & 12.6 \end{array}$
Determine a $95 \%$ confidence interval for the mean time for all players.

A) $10.93 \mathrm {~min} < \mu < 8.03 \mathrm {~min}$
B) $11.03 \mathrm {~min} < \mu < 7.93 \mathrm {~min}$
C) $7.93 \mathrm {~min} < \mu < 11.03 \mathrm {~min}$
D) $8.03 \mathrm {~min} < \mu < 10.93 \mathrm {~min}$