A Researcher Was Interested in Comparing the Heights of Women

Essay

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). $$\begin{array} { c | c } \text { Country A } & \text { Country B } \\\hline 64.1 & 65.3 \\66.4 & 60.2 \\61.7 & 61.7 \\62.0 & 65.8 \\67.3 & 61.0 \\64.9 & 64.6 \\64.7 & 60.0 \\68.0 & 65.4 \\63.6 & 59.0\end{array}$$
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. $$\text { (Note: } \bar { x } _ { 1 } = 64.744 \text { in., } \bar { x } _ { 2 } = 62.556 \text { in., } \mathrm { s } _ { 1 } = 2.192 \text { in., } \mathrm { s } _ { 2 } = 2.697 \mathrm { in } \text {.) }$$