The national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores...

The national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known
about the shape of the distribution and that the standard
deviation is 100. If a random sample of 200 scores were
selected and the sample mean were calculated to be
1050, would you be surprised? Explain.