SOLUTION: Suppose we roll a fair die two times. How many different samples are there? I figured this as 36. List each of the possible samples and compute the mean. I completed an excel sh

Question 1197411: Suppose we roll a fair die two times.
How many different samples are there? I figured this as 36.
List each of the possible samples and compute the mean. I completed an excel sheet for this and the mean is 3.5
Compute the mean and the standard deviation of each distribution and compare them.
Mean
Standard deviation of individual rolls
Standard deviation of sample means
I put all the figures in an excel spreadsheet and used the formula for standard deviation for a population and a sample. The calculation showed population standard deviation as 2.415 and the sample standard deviation as 1.225. This shows not correct in the assignment and I am lost. Could you please help/explain how to get the standard deviation of individual rolls and the standard deviation of the sample means?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


a fair six-sided die rolled  {1,2,3,4,5,6} outcomes
 μ=  = 3.5
Variance:  = 2.9167
Standard deviation =   σ=1.7078 Standard deviation of individual rolls

Standard deviation of sample means
1	3.5	-2.5	6.25
2	3.5	-1.5	2.25
3	3.5	-0.5	0.25
4	3.5	0.5	0.25
5	3.5	1.5	2.25
6	3.5	2.5	6.25
		0	17.5
		  	1.870828693   √(17.5/5)

RELATED QUESTIONS
Suppose we roll a fair die two times. (a) How many different samples are... (answered by oscargut)

Suppose I roll a fair die two times.. How many different samples are... (answered by solver91311)

In the laboratory analysis of samples from a chemical process, ﬁve samples from the... (answered by math_helper)

I have two questions 1.There are 10 girls on the golf team at P.U. How many different 4 (answered by ewatrrr)

Given a regular die (6 sides), a. How many possible outcomes are there? b. list the... (answered by stanbon)

Given regular die (6 sides),(a) how many possible outcomes are there? (b)List the... (answered by solver91311)

If you roll two fair dice (one black die and one white die), in how many ways can... (answered by ikleyn)

Statistics problem: The math department has a total of 219 sections of classes this... (answered by AnlytcPhil)

Roll a fair die five times. List the results and take all random samples of size n = 3.... (answered by MathLover1,ikleyn)