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Posted by Tracey on Tuesday, June 5, 2012 at 9:41am.

Suppose X has a mound-shaped distribution with sigma=9. A random sample of size 36 has a sample mean 20. Is it appropriate to use a normal distribution to compute a confidence interval for the population mean u?

As long as the mound approximates a normal distribution, yes.

Yes, when the sample size is larger than 30, you assume a normal distribution instead of using the student's t distribution.

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