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

6​, 7​, 2​, 8​, 5​, 6​, 8​, 8​, 9​, 9​, 5​, 8

  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 answer​ box(es) to complete your choice.

A.We are 90​%confident that the interval from to actually contains the true mean attractiveness rating of all adult females. ​(Round to one decimal place as​ needed.)

B.We are confident that 90​% of all adult females have attractiveness ratings between and . ​(Round to one decimal place as​ needed.)

C. The results tell nothing about the population of all adult​ females, because participants in speed dating are not a representative sample of the population of all adult females.

Answer 1

The statistical software output for this problem is:

Hence,

Confidence interval:

5.7 < μ < 7.8

The results tell nothing about the population of all adult​females, because participants in speed dating are not a representative sample of the population of all adult females.