Assume that in a given year the mean mathematics SAT score was495, and the standard deviation was111. A sample of61 scores is chosen. Use the TI-84 Plus calculator.

a.What is the probability that the sample mean score is less than484? Round the answer to at least four decimal places.

b.What is the probability that the sample mean score is between460and500? Round the answer to at least four decimal places.

c.Find the10thpercentile of the sample mean. Round the answer to at least two decimal places.

d.Would it be unusual if the sample mean were greater than520? Round answer to at least four decimal places.

e.Do you think it would be unusual for an individual to get a score greater than520? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.