Determine Whether the Samples Are Independent or Dependent Construct a 90% Confidence Interval For

Multiple Choice

Determine whether the samples are independent or dependent.
-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) . $$\begin{array} { | c | c | } \hline \text { Country A } & \text { Country B } \\\hline 64.1 & 65.3 \\66.4 & 60.2 \\61.7 & 61.7 \\62.0 & 65.8 \\67.3 & 61.0 \\64.9 & 64.6 \\64.7 & 60.0 \\68.0 & 65.4 \\63.6 & 59.0 \\\hline\end{array}$$ Construct a 90% confidence interval for $$\mu _ { 1 } - \mu _ { 2 }$$ , the difference between the mean height of women in country A
And the mean height of women in country B. (Note: $\bar { x } _ { 1 } = 64.744$ in., $\bar { x } _ { 2 } = 62.556$ in., $s _ { 1 } = 2.192$ in., $s _ { 2 } = 2.697$ in.)

A) $0.16 \mathrm { in } . < \mu _ { 1 } - \mu _ { 2 } < 4.22 \mathrm { in }$ .
B) $0.14$ in. $< \mu _ { 1 } - \mu _ { 2 } < 4.24$ in.
C) $0.17$ in. $< \mu _ { 1 } - \mu _ { 2 } < 4.21$ in.
D) $0.15$ in. $< \mu _ { 1 } - \mu _ { 2 } < 4.23$ in.