HON 2 How do sample means compare to the expected value? In the last problem, you calculated the expected value. This is the value you should get close to when you find the average of your samples. Suppose you collect one more sample of 6 rolls: . Add this to your previous results. You now have the following samples: Roll Outcomes Sample Mean 1, 4, 2, 2, 3, 2 6, 5, 2, 1, 1, 4 2.333 3.167 4, 3, 5, 5, 4, 4 4.167 Here, you will see that your three sample means (2.333, 3.167, 4.167) are not close to the expected value (3.5). This is partially due to the small sample size (only six rolls per sample). Now, apply the Central Limit Theorem. What is the mean of the sample means? This value should be closer to the expected value of 3.5! (Include two decimal places.)
HON 2 How do sample means compare to the expected value? In the last problem, you calculated the expected value. This is the value you should get close to when you find the average of your samples. Suppose you collect one more sample of 6 rolls: . Add this to your previous results. You now have the following samples: Roll Outcomes Sample Mean 1, 4, 2, 2, 3, 2 6, 5, 2, 1, 1, 4 2.333 3.167 4, 3, 5, 5, 4, 4 4.167 Here, you will see that your three sample means (2.333, 3.167, 4.167) are not close to the expected value (3.5). This is partially due to the small sample size (only six rolls per sample). Now, apply the Central Limit Theorem. What is the mean of the sample means? This value should be closer to the expected value of 3.5! (Include two decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:QUESTION 2
1
How do sample means compare to the expected value?
In the last problem, you calculated the expected value. This is the value you should get close to when you find the average of your samples. Suppose you collect one more
sample of 6 rolls: . Add this to your previous results. You now have the following samples:
Roll Outcomes
Sample Mean
1, 4, 2, 2, 3, 2
2.333
6, 5, 2, 1, 1, 4
4, 3, 5, 5, 4, 4
3.167
4.167
Here, you will see that your three sample means (2.333, 3.167, 4.167) are not close to the expected value (3.5). This is partially due to the small sample size (only six rolls
per sample). Now, apply the Central Limit Theorem. What is the mean of the sample means? This value should be closer to the expected value of 3.5!
(Include two decimal places.)
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