Question

n 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?

5​,

7​,

2​,

9​,

4​,

6​,

7​,

8​,

7​,

10​,

6​,

8

  

What is the confidence interval for the population mean

μ​?

nothing<μ<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.

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.

B.We are

99​%

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.We are confident that

99​%

of all adult females have attractiveness ratings between

nothing

and

nothing.

Answer 1

Given observations are,

5​,7,2,9,4,6,7,8,7,10,6,8

Then the 99% confidence interval for population mean is given by,

From t-table with and (n-1)=11 degrees of freedom,

the required confidence interval is given by,

Then, the confidence interval for population mean is,

What does the confidence interval tell about the population of all adult​ females?

B.  We are 99​% confident that the interval from 4.6 to 8.5 actually contains the true mean attractiveness rating of all adult females.

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