Question

In: Math

In a study of speed​ dating, male subjects were asked to rate the attractiveness of their...

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 equals not ​attractive; 10 equals 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​, 10​, 6​, 4​, 7​, 7​, 9​, 9​, 5​, 8

Solutions

Expert Solution

from given data n= 12

=80/12=6.667

SE=s/√(n-1) = 2.498/√11=0.7532

=0.01

ndf=12-1=11

from table ,critical value of t ,in case of two tailed corresponding to degree of free 11 and =0.01    = 3.10581

hence 99% confidence interval :

t SE

=6.6673.106×0.7532

=6.6672.3394

=(4.3276 ,9.01)

so,answer to question asked is :

4.3<<9.0

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