Question: The value of the z- score that is obtained for a hypothesis test is influenced by several factors. Some factors influence the size of the numerator of the z- score and other factors influence the size of the standard error in the denominator. For each of the following, indicate whether the factor influences the numerator or denominator of the z- score and determine whether the effect would be to increase the value of z (farther form zero). In each case, assume that all other components of the z- score remain constant.

a. Increase the sample size

b. Increase the population standard deviation

c. Increase the difference between the sample mean and the value of µ specified in the

null hypothesis.