Question

Hannah selected a simple random sample of all adults in her town and based on this sample, consrtucted a confidence interval for the mean salary of all adults in the town. however, the distribution of salaries in the town is not exactly normal. will the confidence interval still give a good estimated of the mean salary?

Answer 1

It would depend on the extremeness of the skew. The more the skew, the less confidence you will have in the interval.