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 ​(1equalsnot ​attractive; 10equalsextremely ​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?

5​, 8​, 1​, 8​, 6​, 5​, 7​, 9​, 7​, 8​, 5​, 9

What is the confidence interval for the population mean mu​?

nothingless thanmuless than nothing ​(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 confident that 90​% of all adult females have attractiveness ratings between nothing and nothing. ​(Round to one decimal place as​ needed.)

B. We are 90​% confident that the interval from nothing to nothing actually contains the true mean attractiveness rating of all adult females. ​(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

Since we know that






Sample size (n) = 12
Standard deviation (s) = 2.2764
Confidence interval(in %) = 90

Required confidence interval = (6.5-1.2, 6.5+1.2)
Required confidence interval = (5.3, 7.7)
Interpretion: B. We are 90.0% confident that the interval 5.3 and 7.7 actually contains the true mean attractiveness rating of all adult females
Please hit thumbs up if the answer helped you.