Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. we have a population of size N=9 and the values attached to each element are,

ID: 3048089 • Letter: 1

Question

1. we have a population of size N=9 and the values attached to each element are, P: {3,3,3,6,6,6,9,9,9}.

The mean of this population is 6 and the standard deviation is 15/8

If we draw all possible sample of size n=3 with equal probability without replacement from this population, how many different possible samples are possible?

What is the technically correct, complete, verbal description of this sampling distribution?

2. if the population is grouped as follows G1:{3,3,3}, G2: {6,6,6}, G3:{9,9,9} and

we sample n=3 by drawing one element from each group, how many different samples can result?

what is the mean and variance of this sampling distribution?

How would you verbally and completely describe this sampling distribution?

3. If the population is grouped as follows G1: {3,6,9}, G2:{3,6,9}, G3:{3,6,9} and we draw one element from each group, how many different samples can result?

what is the mean and variance of this sampling distribution?

How would you verbally and completely describe this smapling distribution?

please compare and commnet about probelms 1,2, and 3.

Explanation / Answer

Ans 1

Types of sample

333,666,999,336,339,366,399,669,699

Total ways = 9

The sampling distribution is MECE Mutually Exclusive, Collectively Exhaustive

PS : We are directed to solve only the first question when multiple questions are posted or the first 4 parts when multiple parts of the same question are posted.