In: Math
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
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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