The Central Limit Theorem can be demonstrated by taking sample mean distributions from a population that is not normally distributed.

• Graph the probability distribution for rolling a six-sided die as a relative frequency histogram. Determine the mean and standard deviation for this distribution.
• Construct a relative frequency distribution for a sample mean distribution with sample size of 4 for rolling a six-sided die using 100 trials. Sketch this as a relative frequency histogram using the same horizontal and vertical scales as the relative frequency histogram for the population. This means using classes of1?x?
• 1?x ?

- Determine the mean and standard deviation for the sample mean distribution with n = 4. - Repeat the process for the sample mean when n = 9. Graph the relative frequency histogram using the same scale as the previous wo distributions. - Enter the mean and standard deviations for all three distributions in the table below. Distribution Mean Standard Deviation Population Sample Mean. n=4 Sample Mean, n=9 - Write a brief paragraph discussing the similarities and differences between these three distributions and how it relates to the Central Limit Theorem