n For sample values x, X2, X, the sample variance is s 1 n = 0-1 i=1 (1-3)* (x-2 where x =x, is the sample mean. 1 n 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 c 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