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

Apply the nonpooled t-interval procedure to obtain the required confidence interval. You may assume that theassumptions for using the procedure are satisfied.
-A researcher was interested in comparing the heights of women in two different countries. Independent simple random samples of 9 women from country A and 9 women from country B
Yielded the following heights (in inches) .
$\begin{array}{r|r}\text { Country A } & \text { Country B } \\\hline 64.1 & 65.3 \\66.4 & 60.2 \\61.7 & 61.7 \\62.0 & 65.8 \\67.3 & 61.0 \\64.9 & 64.6 \\64.7 & 60.0 \\68.0 & 65.4 \\63.6 & 59.0\end{array}$

Determine a $90 \%$ confidence interval for the difference, $\mu _ { 1 } - \mu _ { 2 }$ , between the mean height of women in country $A$ and the mean height of women in country $B$ .
(Note: $\bar { x } _ { 1 } = 64.744 , \bar { x } _ { 2 } = 62.556 , s _ { 1 } = 2.192 , s _ { 2 } = 2.697 .$ )

A) $0.17$ to $4.21$ inches
B) $0.15$ to $4.23$ inches
C) $0.14$ to $4.24$ inches
D) $0.16$ to $4.22$ inches

Correct Answer:

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