Solved

State What the Given Confidence Interval Suggests About the Two

Question 103

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) .

 Country A  Country B 65.364.160.266.461.761.765.862.061.067.364.664.960.064.765.468.059.063.6\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%90 \% confidence interval was obtained for μ1μ2\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- 4.34 in. <μ1μ2<0.03< \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.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents