The average salary for a certain profession is $96,000. Assume that the standard deviation of such salaries is $27,500. Consider a random sample of 77 people in this profession and let x represent the mean salary for the sample.

a.

What is x?

b.

What is x?

c.

Describe the shape of the sampling distribution of x.

A. The shape is that of a uniform distribution.

B. The shape is that of a normal distribution.

C. The shape is that of a binomial distribution.

D. The shape is that of a poisson distribution.

d.

Find thez-score for the value x=88,500.

e.

Find Px>88,500.