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? 7​, 7​, 1​, 8​, 4​, 6​, 7​, 9​, 7​, 9​, 5​, 9

Answer 1

From the given data, the following statistics are calculated:

n = 12

= 6.5833

s = 2.3533

SE = s/

= 2.3533/

= 0.6793

= 0.10

ndf =n - 1= 12- 1 =11

From Table, critical values of t = 1.7959

Confidence Interval:

6.5833 (1.7959 X 0.6793)

= 6.5833 1.2201

= ( 5.3632 , 7.8033)

Confidence Interval:

5.3632 < < 7.8033

Since all the values in the confidence interval are greater than 5, we conclude that the mean attractiveness rating of the population of all adult females is high.