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Let x(1), x(2),….,x(n) be n observations...

Let `x_(1), x_(2),….,x_(n)` be n observations, and let `barx` be their arithmatic mean and `sigma^(2)` be their variance.
Statement 1 : Variance of `2x_(1),2x_(2),….,2x_(n)` is `4sigma^(2)`
Statement 2 : Arithmatic mean of `2x_(1), 2x_(2),….,2x_(n)` is `4 bar x`.

A

Statement-1 is true, Statement-2 is true.
Statement-2 is not a correct explnation for Statement-1.

B

Statement-1 is true, Statement-2 is false.

C

Statement-1 is false, Statement-2 is true.

D

Statement-1 is true, Statement-2 is ture, Statement-2 is a correct explanation for Statement-1

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