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Let x(1), x(2), ..., x(n) be n observati...

Let `x_(1), x_(2), ..., x_(n)` be n observations, and let x be their arithmetic mean and `sigma^(2)` be the variance
Statement 1: Variance of `2x_(1), 2x_(2), ..., 2x_(n)` is 4`sigma^(2)`.
Statement 2: Arithmetic mean `2x_(1), 2x_(2),...,2x_(n)` is 4 x.

A

Statement 1 is false, statement 2 is true.

B

Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.

C

Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.

D

Statement 1 is true, statement 2 is false.

Text Solution

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The correct Answer is:
D
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