Consider a sample x1, x2,..., xn and suppose that the values of , s2, and s have

Question:

Consider a sample x1, x2,..., xn and suppose that the values of , s2, and s have been calculated.
a. Let yi = xi - for i = 1,..., n. How do the values of s2 and s for the yi's compare to the corresponding values for the xi's? Explain.
b. Let zi = (xi - )/s for i = 1,..., n. What are the values of the sample variance and sample standard deviation for the zi's?