Answer to Question #209739 in Statistics and Probability for Ludmillia

Question

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 of 1≤x ̅<2,2≤x ̅<3, etc. This can be done using real dice roll or simulations using random number generators.

• 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 two distributions.
• Enter the mean and standard deviations for all three distributions in the table below.

 DistributionMeanStandard DeviationPopulationSample Mean, n=4Sample Mean, n=9