Consider a sample x1, x2, .. x, and suppose that the val- ues of x, s?, and s have been calculated. a. Let y = x; - for i = 1, . - ., n. How do the values of s and s for the ys compare to the corresponding values for the x, s? Explain. b. Let z = (x; -- X)/s for i Xy's for i = 1, ...,2. What are the values of the sample variance and sample standard deviation for the zis?