State What the Given Confidence Interval Suggests About the Two

question 92

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.

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