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 (1equals not attractive; 10equals 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 , 7 , 2 , 8 , 4 , 4 , 8 , 9 , 9 , 10 , 4 , 8 What is the confidence interval for the population mean mu ? (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 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.) B. We are confident that 99 % of all adult females have attractiveness ratings between nothing and nothing . (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.
n = 12
x-bar = 6.5833
s = 2.539
% = 99
Standard Error, SE = s/√n = 2.539/√12 = 0.732946167
Degrees of freedom = n - 1 = 12 -1 = 11
t- score = 3.105806514
Width of the confidence interval = t * SE = 3.10580651358217 * 0.73294616673623 = 2.276388979
Lower Limit of the confidence interval = x-bar - width = 6.5833 - 2.27638897875446 = 4.306911021
Upper Limit of the confidence interval = x-bar + width = 6.5833 + 2.27638897875446 = 8.859688979
The confidence interval is [4.3, 8.9]
A. We are 99% confident that the interval from 4.3 to 8.9 actually contains the true mean attractiveness rating of all adult females.
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