This problem uses the mean and standard deviation from the previous problem.Suppose you buy 85 cookies from the cafeteria and find that they have an average of 28.7 chips in them.

a)What is the probability that a sample of 85 cookies will have a sample mean of 28.7 or lower if the claim about the mean and standard deviation is accurate?

b)Do you have reason to doubt the cafeteria's claim about the cookies?Explain why or why not.

mean =29.2

Standard deviation=2.53