An automobile insurer has found that repair claims have a mean of 29 200 and a standard deviation of 570. Suppose that the next 100 claims can be regarded as a random sample from the long-run claims process.

The average monthly income of teachers working in a public school is 24 000 with standard deviation of 750. If a random sample of 18 teachers is selected, what is the mean and standard error of the corresponding distribution of the sample means?