Use the Given Degree of Confidence and Sample Data to Find

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ.
Assume that the population has a normal distribution. Round the confidence interval limits to one more decimal place
than is used for the original set of data.
-The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: $\begin{array} { l l l l l } 9 & 7 & 15 & 6 & 15 \end{array}$
$\begin{array} { l l l l l } 12 & 8 & 6 & 14 & 5 \end{array}$
Find a $95 \%$ confidence interval for the population standard deviation $\sigma$ .

A) $2.7 \mathrm {~min} < \sigma < 6.6 \mathrm {~min}$
B) $2.7 \mathrm {~min} < \sigma < 7.2 \mathrm {~min}$
C) $2.6 \mathrm {~min} < \sigma < 6.6 \mathrm {~min}$
D) $0.8 \mathrm {~min} < \sigma < 2.4 \mathrm {~min}$