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this is the problem:

we wish to estimate the mean execution time of a program. the program was run 35 times on randomly selected inputs, and the sample mean and the sample standard deviation of the execution times were evaluated as (x bar)=230ms, and S(sample sd)=14ms, respectively. find 95% CI for the true mean execution time u

what and how can you tell this is a non-normal population. i knew it because it is an example under "Large sample CI for non-normal population"

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    Almost nothing is normal. The distribution of long enough sums (and therefore averages) of independent identically distributed "nice" random variables are well approximated by a normal.2012-12-10

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