A Researcher Was Interested in Comparing the Heights of Women

A researcher was interested in comparing the heights of women in two different countries.Independent random samples of 9 women from country A and 9 women from country B yielded the following heights (in centimetres) . $$\begin{array} { c | c } \text { Country A } & \text { Country B } \\\hline 162.8 & 165.9 \\168.7 & 152.9 \\156.7 & 156.7 \\157.5 & 167.1 \\170.9 & 154.9 \\164.8 & 164.1 \\164.3 & 152.4 \\172.7 & 166.1 \\161.5 & 149.9\end{array}$$ 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.

A) (0.4,10.7)
B) (1.4,9.2)
C) (0.8,14.2)
D) (161.4,164.3)
E) (0.7,4.2)

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