State What the Given Confidence Interval Suggests About the Two

question 50

Essay

State what the given confidence interval suggests about the two population means.
-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). $$\begin{array} { | c | c | } \hline \text { Country A } & \text { Country B } \\\hline 64.1 & 65.3 \\66.4 & 60.2 \\61.7 & 61.7 \\62.0 & 65.8 \\67.3 & 61.0 \\64.9 & 64.6 \\64.7 & 60.0 \\68.0 & 65.4 \\63.6 & 59.0 \\\hline\end{array}$$ Use a 0.10 significance level to test the claim that the mean height of women in country A is greater than the
mean height of women in country B. Use the P-value method of hypothesis testing. $$\text { (Note: } \bar { x } _ { 1 } = 64.744 \text { in., } \bar { x } _ { 2 } = 62.556 \text { in., } \mathrm { s } _ { 1 } = 2.192 \text { in., } \mathrm { s } _ { 2 } = 2.697 \text { in.) }$$