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...

Extracted 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.)