Problem: Please accept only if willing to explain.

A POPULATION consists of these values: 2,3,6,8,11,18.

a) Find Meanand Standard Deviant

b) List all samples of size n=2 that are obtained without replacement.

c)Find the population of all values of the mean of the values in a sample by finding mean of each sample from part b.

d) Find the mean (U subscript mean of the values in a sample)of the population of all samples

e) Verify.

See attachment please!

Solution. Denote the mean and standard deviation by , respectively. Then we have

Attached is a table by using Excel

Column1

Mean 8

Standard Error 2.408319

Median 7

Mode #N/A

Standard Deviation 5.899152

Sample Variance 34.8

Kurtosis 0.696591

Skewness 0.990791

Range 16

Minimum 2

Maximum 18

Sum 48

Count 6

b) List all samples of size n=2 …

Problem: Please accept only if willing to explain.

A Population consists of these values: 2,3,6,8,11,18.

a) Find Mean and Standard Deviant

b) List all samples of size n=2 that are obtained without replacement.

c)Find the population of all values of the mean of the values in a sample by finding mean of each sample from part b.

d) Find the mean (U subscript mean of the values in a sample)of the population of all samples

e) Verify.