Apply the Pooled T-Interval Procedure to Obtain the Required Confidence

question 72

Multiple Choice

Apply the pooled t-interval procedure to obtain the required confidence interval. You may assume that the assumptionsfor using the procedure are satisfied.
-A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected and each
Person was asked how many hours he or she had watched television during the previous week.
The summary statistics are as follows.
$\begin{array} { r | r } \text { Women } & \text { Men } \\\hline \bar{ x } _ { 1 } = 12.0 & \bar{ x } _ { 2 } = 17.3 \\\mathrm {~s} _ { 1 } = 4.8 & \mathrm {~s} _ { 2 } = 4.8 \\\mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17\end{array}$
Determine a $95 \%$ confidence interval for the difference between the mean weekly television watching times of women and men.

• A)\(- 8.24\) to \(- 2.36\) hours
• B) \(- 8.84\) to \(- 1.76\) hours
• C) \(- 8.97\) to \(- 1.63\) hours
• D) \(- 9.14\) to \(- 1.46\) hours

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