Use the One-Standard-Deviation Chi-Square Interval Procedure to Obtain the Specified $\begin{array} { l l l l l } 6 & 14 & 10 & 9 & 8 \end{array}$

Use the one-standard-deviation chi-square interval procedure to obtain the specified confidence interval for thepopulation standard deviation Ϭ. Assume that the population has a normal distribution.
-A football coach randomly selected ten players from his college and timed how long each player took to perform a certain drill. The times (in minutes) were:
$\begin{array} { l l l l l } 6 & 14 & 10 & 9 & 8 \end{array}$
$\begin{array} { l l l l l } 15 & 11 & 10 & 13 & 10 \end{array}$
Find a $95 \%$ confidence interval for the standard deviation, $\sigma$ , of the times of all football players at this college.

A) $1.9$ to $4.6 \mathrm {~min}$
B) $1.8$ to $4.6 \mathrm {~min}$
C) $0.7$ to $2.2 \mathrm {~min}$
D) $1.9$ to $5.0 \mathrm {~min}$

Correct Answer:

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