This is statistcs course and I need help with answering those questions. In this you will simulate a sampling distribution.

Presimulation Questions: 1. A number cube has six faces, labeled om 1 to 6. Consider the population {1, 2, 3, 4, 5, 6}. State the mean and standard deviation of this population. [1 = _ 0 = For a sampling distribution of samples of size n = 2, n = 4, and n = 6, what should be the mean and standard deviation? Refer to the single-sample table on page 14 of your course description before you answer. Forn=2,f= s= . Forn=4,.?= s= For n = 6, J? = s = In this activity You will simulate 3 sampling distributions for sample means, one for each sample size mentioned above. Describe the differences you expect to see between these three distributions. For example, do not simply repeat your answer from the previous question, but describe how they relate. Post-simulation Questions: You should read these questions now so you will know what to expect, but don '1 anmer them until aer you have completed the simulations thatfoow. 4. As the sample size changed from 2 to 4 to 6, describe what happened to the shape of the histograms. 5. As it changed from 2 to 4 to 6, describe how the standard deviations and the mean of the sample means changed. Compare this to what you predicted for questions 1 and 2. 6. In your own words, state two important aspects of the Central Limit Theorem How well do your results illustrate the Central Limit Theorem? Why? What you will need: I A pencilfpen and your notebook I A graphing calculator I This assignment document Optional, but may be helpful: I A spreadsheet for easily finding means (you may download one on the assignment page) I A second person to help you gather and record data I Review lessons 2, 3, and 6 especially this page