1 1 For sample values x1, X2, X, the sample variance is s = 0-1 n (x-x, where x =x, is the sample mean. i=1 i=1 (a) Show that the sample variance is unchanged if a constant c is added to or subtracted from each value in the sample. (b) Show that the sample variance becomes c2 times its original value if each observation in the sample is multiplied by c. (a) If a constant c is added to or subtracted from each value in the sample, how do the sample values x, change? Each x becomes (x+c) becomes cx- remains unchanged