Please show your solution and answer in 3 decimal places. Thank you!

You can start answering number 2.2 and so on.

1.Suppose you have a population of N = 6 such that X₁=1, X₂=2, X₃= 5, X₄=5, X₅=8

and X₆=9, determine the following:

1.1population mean; mean=5

1.2population variance; and variance=8.333

1.3population standard deviation. standard deviation =2.887

2.Suppose that from the population data in #1 above, find the following:

(NOTE: _NC_n = N!/[(N-n)! n!];whereN is population size and n is sample size)

2.1given n = 2,

2.1.1) frequency distribution of the sample mean;

2.1.2) expected value of the sampling distribution of the sample mean (i.e., the mean of all the sample means).

2.1.3) the variance of the sampling distribution of the mean

2.1.4) the standard deviation of the sampling distribution of the mean

2.2given n = 3,

2.2.1) frequency distribution of the sample mean;

2.2.2) expected value of the sampling distribution of the sample mean (i.e., the mean of all the sample means). mean =5

2.2.3) the variance of the sampling distribution of the mean variance= 4.1667

2.2.4) the standard deviation of the sampling distribution of the mean standard deviation =2.0412

2.3given n = 4,

2.3.1) frequency distribution of the sample mean;

2.3.2) expected value of the sampling distribution of the sample mean (i.e., the mean of all the sample means).

2.3.3) the variance of the sampling distribution of the mean

2.3.4) the standard deviation of the sampling distribution of the mean

3.3.1 What do you call the standard deviation of the sampling distribution of the mean?

It is called the standard error of the mean.

3.2 Determine the alternative formula and compute #3.1 using the population standard deviation.

3.3Compare the results in #1 and #2 above.What observations and conclusion can you derive?

4.Compare the results in #2 above.What observations and conclusion can you derive?

I would like to compare my answers to yours. Don't worry, I will give helpful feedback. Thanks again!