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

Question 137

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) .  Country A  Country B 64.165.366.460.261.761.762.065.867.361.064.964.664.760.068.065.463.659.0\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 μ1μ2\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: xˉ1=64.744\bar { x } _ { 1 } = 64.744 in., xˉ2=62.556\bar { x } _ { 2 } = 62.556 in., s1=2.192s _ { 1 } = 2.192 in., s2=2.697s _ { 2 } = 2.697 in.)


A) 0.16in.<μ1μ2<4.22in0.16 \mathrm { in } . < \mu _ { 1 } - \mu _ { 2 } < 4.22 \mathrm { in } .
B) 0.140.14 in. <μ1μ2<4.24< \mu _ { 1 } - \mu _ { 2 } < 4.24 in.
C) 0.170.17 in. <μ1μ2<4.21< \mu _ { 1 } - \mu _ { 2 } < 4.21 in.
D) 0.150.15 in. <μ1μ2<4.23< \mu _ { 1 } - \mu _ { 2 } < 4.23 in.

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