For Exercises 27–32, assume that test scores follow a normal distribution, with mean and standard deviation . Suppose we take random samples of size .
30. In your graph of the sampling distribution of , shade the area to the left of 98. Is this area smaller or larger than the area in the previous exercise? Will the probability that is less than 98 be greater than or less than the probability that is less than 97? Calculate the probability that is less than 98. Does this confirm your prediction?