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;

1.2population variance; and

1.3population standard deviation.

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).

2.2.3) the variance of the sampling distribution of the mean

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

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?

Please show your solution. I will definitely give you a helpful rating. I just badly need help will my homework. Thank you.