Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be115 or more?

Question

Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15.  Would it be unusual for the mean of a sample of 3 to be115 or more?

PsyDAG · Answer

Z = (mean1 - mean2)/standard error of the mean (SEm)

SEm = SD/√n

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score.