If the variance of the observations x 1 , x 2 , … … , x n is σ 2 , then the variance of α x 1 , α x 2 , … … , α x n , α ≠ 0 is

Question

If the variance of the observations x 1 , x 2 , &#8230; &#8230; , x n is &#963; 2 , then the variance of &#945; x 1 , &#945; x 2 , &#8230; &#8230; , &#945; x n , &#945; &#8800; 0 is

Quantrex Academy · Accepted Answer

Correct answer: C. &#945; 2 &#963; 2

Variance = 1 n &#931; ( x - x &#175; ) 2 = &#963; 2 New variance = 1 n &#931; ( &#945; x - &#945; x &#175; ) 2 = &#945; 2 1 n &#931; ( x - x &#175; ) 2 = &#945; 2 &#963; 2

If the variance of the observations x 1 , x 2 , … … , x n is σ 2 , then the variance of α x 1 , α x 2 , … … , α x n , α ≠ 0 is

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If the variance of the observations x 1 , x 2 , &#8230; &#8230; , x n is &#963; 2 , then the variance of &#945; x 1 , &#945; x 2 , &#8230; &#8230; , &#945; x n , &#945; &#8800; 0 is

Options

Correct answer

Step-by-step solution

More from Statistics

If the variance of the observations x 1 , x 2 , … … , x n is σ 2 , then the variance of α x 1 , α x 2 , … … , α x n , α ≠ 0 is