Let $x_1,x_2,\dots ,x_n$ be $n$ observations, and let $\bar{x}$ be their arithmetic mean and ${\sigma }^2$ be their variance.Statement 1: Variance of $2x_1,2x_2,\dots ,2x_n$ is $4{\sigma }^2$.Statement 2: Arithmetic mean of $2x_1,2x_2,\dots ,2x_n$ is $4\bar{x}$.

1. A
   Statement 1 is false, statement 2 is true
2. B
   Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
3. C
   Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
4. D
   Statement 1 is true, statement 2 is false