Let `x_1,""x_2,"". . . . . . ,""x_n` be n observations, and let ` bar x` be their arithematic mean and `sigma^2` be their variance. Statement 1: Variance of `2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4""sigma^2` . Statement 2: Arithmetic mean of `2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4x` . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false