36 Refer to the previous exercise. A study uses a random sample of 225 infants.

a) Describe the sampling distribution of the sample mean PDI,

b) Find the probability that the sample mean exceeds 103.

c) Find the probability that the sample mean falls between 97 and 103

d) Find the z-score froin the sampling distribution corresponding to a sample mean of =90, when the sample size is 225. Would you be surprised to observe a sample mean PDI of 90? Why?

e) Compare the results of parts (a)-

(d) with those in the previous exercise, and interpret the differences.

f) Repeat parts (a)-

(d) for a random sample size of 25 and compare the results to those for n = 225