Question

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 99​%

confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult​ females?

6​

8​

1​

9​

6​

5​

6​

9​

7​

8​

4​

9

Answer A and B below.

A). What is the confidence interval for the population mean μ​?

­­­­_____<μ<_____

​(Round to one decimal place as​ needed.)

What does the confidence interval tell about the population of all adult​ females? Select the correct choice below​ and, if​ necessary, fill in the balnk to complete your choice.

B). We are confident that 99​% of all adult females have attractiveness ratings between _____ and ______.

​(Round to one decimal place as​ needed.)

Answer 1

Solution:

Number of samples = 12

Mean = 6.5

Standard deviation = 2.3932

a)

b) We are confident that 99​% of all adult females have attractiveness ratings between 4.4 and 8.6