• 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 of1x<2,2x<3,
• 1x <2,2x <3,etc. This can be done using real dice rolls or simulations using random number generators.
• Determine the mean and standard deviation for the sample mean distribution withn= 4.
• Repeat the process for the sample mean whenn= 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