1. The z distribution and hours slept:

A sample of 150 statistics students reported the typical number of hours that they sleep on a weeknight. The mean number of hours was 6.65, and the standard deviation was 1.24. (For this exercise, treat this sample as the entire population of interest.)

a. What is always the mean of the z distribution?

The mean of the z distribution is always 0

b. Using the sleep data, demonstrate that your answer to part (a) is the mean of the z distribution. (Hint: Calculate the z score for a student who is exactly at the mean.)

c. What is always the standard deviation of the z distribution?

The standard deviation of the z distribution is always 1

d. Using the sleep data, demonstrate that your answer to part (c) is the standard deviation of the z distribution. (Hint: Calculate the z score for a student who is exactly 1 standard deviation above or below the mean.)

I know that the mean will always be 0 and the standard deviation will always be one so what im getting from the question is that I have to end up with 0 and 1? I'm not completely sure what it is asking.