Statistics Last questions is asking what happens to the mean. As sample size increases from 1 to 2 to 10 to 20

63 Central Limit Theorem In this experiment, assume that all dice have 6 sides. a. Use Statdisk to simulate the rolling of a single die 800 times. (Select Data, then Dice Generator.) Use Copy/Paste to copy the results to the Descriptive Statistics and Histogram modules, and enter the actual results below. One Die: Mean: Standard Deviation: Distribution shape: b. Part (a) used a single die, but we will now use a pair of dice. Use Statdisk to "roll" two dice 800 times (again using Data/Dice Generator). The 800 values are totals for each pair of dice, so transform the totals to means by dividing cach total by 2. (Use Copy/Paste to copy the results to the Sample Editor window, then use statdick's Sample Transformat ans feature to divide each value by 2. To divide each value by 2 select the operation _ / and use a constant of 2.) Now use Copy/Paste to copy the 800 means to the Sample Editor window, then use the Descriptive Statistics and Histogram modules. Enter the results below. Two Dice: Mean: Standard Deviation: Distribution shape: C. Repeat part (b) using 10 dice. When finding the mean of the 10 dice, divide each value by 10. 10 Dice: Mean: Standard Deviation: Distribution shape. d. Repeat part (b) using 20 dice. 20 Dice Mean. Standard Deviation: Distribution shape: IGeneral conclusions What happens to the mesh as the sample sue increases from I to 2 to 10 to 20