Question

The variance of Yo is given by the following formula:

Answer 1

(1)

Correct option:

A.

$\frac{\sigma^{2} _{Y}}{n}$

EXPLANATION:

As per Central Limit Theorem, Sampling Distribution of Sampling Mean is Normal Distribution with mean = $\mu$ = mean of the population and variance =

$\frac{\sigma ^{2}}{n}$

where $\sigma$ is the population standard deviation.

(2)

Correct option:

A.   n X a X $\bar{x}$ +n X b

EXPLANATION:

$\sum_{i=1}^{n}(ax_{i}+b)= a\sum_{i=1}^{n}x_{i}+(n\times b)$

$=a\times (n\times \bar{x})+(n\times b)$