Use the Given Degree of Confidence and Sample Data to Construct

question 103

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. 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: $\begin{array} { l l l l l } 7.1 & 10.7 & 9.4 & 8.6 & 11.4 \end{array}$
$\begin{array} { l l l l l } 7.1 & 6.6 & 11.2 & 10.0 & 12.3 \end{array}$
Determine a $95 \%$ confidence interval for the mean time for all players.

• A) \(10.91 \mathrm {~min} < \mu < 7.97 \mathrm {~min}\)
• B) \(10.81 \mathrm {~min} < \mu < 8.07 \mathrm {~min}\)
• C) \(7.97 \mathrm {~min} < \mu < 10.91 \mathrm {~min}\)
• D) \(8.07 \mathrm {~min} < \mu < 10.81 \mathrm {~min}\)

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