Take a random sample of size n = 2, without replacement, from
{0, 2, 4, 6}. Let $ \bar{x}$ = mean of the two numbers selected.
(a) List the six possible $ \bar{s}$amples and the associated value of the sample mean.
(b) Construct the sampling distribution of $ \bar{x}$.
(c) Obtain the expected value of $ \bar{x}$ using the sampling distribu- tion in Part b.
(d) Obtain the variance of $ \bar{x}$ using the sampling distribution in Part b.

Question

Take a random sample of size n = 2, without replacement, from
{0, 2, 4, 6}. Let $  \bar{x}$ = mean of the two numbers selected.
(a) List the six possible $  \bar{s}$amples and the associated value of the sample mean.
(b) Construct the sampling distribution of $  \bar{x}$.
(c) Obtain the expected value of $  \bar{x}$ using the sampling distribu- tion in Part b.
(d) Obtain the variance of $  \bar{x}$ using the sampling distribution in Part b.

Quizplus · Accepted Answer

The Answer of   Take a random sample of size n = 2, without replacement, from
{0, 2, 4, 6}. Let $  \bar{x}$ = mean of the two numbers selected.
(a) List the six possible $  \bar{s}$amples and the associated value of the sample mean.
(b) Construct the sampling distribution of $  \bar{x}$.
(c) Obtain the expected value of $  \bar{x}$ using the sampling distribu- tion in Part b.
(d) Obtain the variance of $  \bar{x}$ using the sampling distribution in Part b.

Take a Random Sample of Size N = 2, Without xˉ \bar{x}xˉ

Take a Random Sample of Size N = 2, Without $\bar{x}$