SOLUTION: The distribution of scores on a standardized test is approximately Normal with standard deviation of σ = 17. If a sample of 135 students had a mean score of x¯ = 75.2, use this t

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Question 1167535: The distribution of scores on a standardized test is approximately Normal with standard deviation of σ = 17. If a sample of 135 students had a mean score of x¯ = 75.2, use this to find a 99% confidence interval for the mean score of all students on this test.
We are 99% confident that the the mean score of students on this test was in the interval

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
99%CI is mean +/-z(0.995)*sigma/sqrt(n)
this is mean +/-2.576*17/sqrt(135)
=mean +/-3.769
the interval is (71.431, 78.769)