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

Let `X_(1),X_(2),…….X_(n)` be n observations, and let `bar(x)` be their arithmetic mean and `sigma^(2)` be their variance .
Statement 1 : Arithmetic mean of `x_(1) + 2,x_(2) + 2,x_(3) + 2,…..,x_(n) + 2` is `bar(x) + 2`
Statement 2 : Variance of `x_(1)

Statemnet 1 is ture , Statement 2 is ture, Statement 2 is a correct explanation for Statement 1

Statement 1 is ture Statement 2 is false

Statement 1 is false false , Statement 2 is ture

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

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Let x_(1),x_(2),………,x_(n) be n observation , and let bar(x) be thrir arithmetic mean and sigma^(2) be their variance. Statement 1 : Variance of 2x_(1),2x_(2),…..,2x_(n) is 4sigma^(2) . Statement 2 : Arithmetic mean of 2x_(1),2x_(2),......,2x_(n) is 4 bar(x) .

Statemnet 1 is ture , Statement 2 is ture, Statement 2 is a correct explanation for Statement 1

Statement 1 is ture Statement 2 is false

Statement 1 is false false , Statement 2 is ture

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

`{:(A,B,C,D),("(i)","(v)","(ii)","(iii)"):}`

`{:(A,B,C,D),("(i)","(iv)","(iii)","(ii)"):}`

`{:(A,B,C,D),("(iii)","(v)","(iv)","(ii)"):}`

`{:(A,B,C,D),("(iii)","(v)","(ii)","(i)"):}`