1) Suppose that Z has a standard normal distribution (with mean 0 and a standard deviation of 1, as in Table E.2).

a) What is the value of Z if only 5% of all possible Z values are larger?

2) Given a normal population whose mean is 55 and whose standard deviation is 6, find the probabilities that the sample mean lies between 53 and 58 for the following sample sizes.

a. n = 4

b. n = 16

c. n = 25