SOLUTION: Twelve different video games showing substance use were observed and the duration times of game play​ (in seconds) are listed below. The design of the study justifies the assumpt

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Question 1158034: Twelve different video games showing substance use were observed and the duration times of game play​ (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the data to construct a 99​% confidence interval estimate of mu​, the mean duration of game play.
4057
3882
3863
4032
4321
4811
4653
4028
5001
4816
4325
4316
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the 99%CI is x bar +/- t (0.995, df=11)*s/sqrt(n), where n=12
t=3.106
x bar=4342.08
s=392.43
half-interval is 351.96
(3990.12, 4694.04) is 99% CI of the true mean or (3990, 4694)