State What the Given Confidence Interval Suggests About the Two

Multiple Choice

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) .

$\begin{array}{c|c}\text { Country A } & \text { Country B } \\\hline 65.3 & 64.1 \\60.2 & 66.4 \\61.7 & 61.7 \\65.8 & 62.0 \\61.0 & 67.3 \\64.6 & 64.9 \\60.0 & 64.7 \\65.4 & 68.0 \\59.0 & 63.6\end{array}$

The following $90 \%$ confidence interval was obtained 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. $- 4.34$ in. $< \mu _ { 1 } - \mu _ { 2 } < - 0.03$ in What does the confidence interval suggest about the population means?

A) The confidence interval includes 0 which suggests that the two population means might be equal. There doesn't appear to be a significant difference between the mean height of women from country A and the mean height of women from country B.
B) The confidence interval includes only negative values which suggests that the mean height of women from country A is greater than the mean height of women from country B.
C) The confidence interval includes only negative values which suggests that the mean height of women from country A is smaller than the mean height of women from country B.
D) The confidence interval includes only negative values which suggests that the two population means might be equal. There doesn't appear to be a significant difference between the mean height of women from country A and the mean height of women from country B.