Question

9. In a study of speed​ dating, male subjects were asked to rate the attractiveness of their female​ dates, and a sample of the results is listed below ​(1=not ​attractive; 10=extremely ​attractive). Construct a confidence interval using a 95​% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult​ females?

Ratings:

8

9

3

8

5

5

6

7

9

8

5

9

Answer 1

Sample size = n = 12

Sample mean = = 6.8333

Standard deviation = s = 1.9924

We have to construct 95% confidence interval.

Formula is

Here E is a margin of error.

Degrees of freedom = n - 1 = 12 - 1 = 11

Level of significance = 0.05

tc = 2.201   ( Using t table)

So confidence interval is ( 6.8333 - 1.2659 , 6.8333 + 1.2659) = > ( 5.5674 , 8.0993)