Dice (Sampling Distribution Lab) Students roll dice in order to demonstrate the Central Limit Theorem. Actual dice or a dice rolling app can be used (https://www.random.org/dice/) Part 1: 1. Roll two dice and find the mean of the numbers that you get. Repeat the experiment five times. Roll Die 1 Die 2 Mean 1 2 3 4 5 2. Place a dot for each mean value that you obtained and create a dot plot. 3. Find the mean and the standard deviation. Part 3: 1. Roll ten dice and find the mean of the numbers that you get. Repeat the experiment five times. You should have five means in total. Write them in the table below. Roll 1 Die 1 Die 2 Die 3 Die 4 Die 5 Die 6 Die 7 Die 8 Die 9 Die 10 Mean 2 3 4 5 2. Place a dot for each mean value that you obtained and create a dot plot. 3. Find the mean and the standard deviation. Q1: List 3 things you notice as the number of dice rolled increases from 2 to 5 to 10: 1. 2. 3. Q2: From part 1,2, and 3, we can see that the sample means tend toward a distribution. Q3: Suppose that the experiment had been repeated 500 times. What would you expect to see? Explain your prediction. Part 2: 1. Roll five dice and find the mean of the numbers that you get. Repeat the experiment five times. You should have five means in total. Write them in the table below. Roll Die 1 Die 2 Die 3 Die 4 Die 5 Mean 1 2 2. 3 4 5 Place a dot for each mean value that you obtained and create a dot plot. 3. Find the mean and the standard deviation.