Consider a sample x1, 2, ..., In and suppose that the values of x, $2, and s have been calculated. a. Let yi = xi - x for i = 1, ..., n. How do the values of s2 and s for the y's compare to the corresponding values for the xi's? Explain. b. Let zi = (xi - a) /s for i = 1, ..., n. What are the values of the sample variance and sample standard deviation for the zi's