Country ACountry B653641602664617617658620610673646649600647
Country ACountry B65.364.160.266.461.761.765.862.061.067.364.664.960.064.765.468.059.063.6
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).
The following 90% confidence interval was obtained for the difference between the mean height of women in country A and the mean height of women in country B.
-4.34 in. < 1 - 2 < -0.03 in
What does the confidence interval suggest about the population means?
Question 7 options:
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.
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.
7) 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.
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.
| Country A | Country B |
| 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 |
Solution
The following 90% confidence interval was obtained for the difference between the mean height of women in country A and the mean height of women in country B.
-4.34 in. < 1 - 2 < -0.03 in
What does the confidence interval suggest about the population means?
Question 7 options:
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.
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.
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.
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.
Note:
( Both upper and lower limits are negative suggests the mean height of women from country A is smaller than the mean height of women from country B. The confidence interval does not includes 0 suggests that the difference is significant)
| 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. | |
| 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. | |
| 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. | |
| 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. |

