Discussion Questions Compare the three histograms you have made, the one for the population and the two for the sample means. In three to five sentences, describe the similarities and differences. State the theoretical (according to the clt) distributions for the sample means. n = 5: x⎯⎯ ~ (,) n = 10: x⎯⎯ ~ (,) Are the sample means for n = 5 and n = 10 "close" to the theoretical mean, μx? Explain why or why not. Which of the two distributions of sample means has the smaller standard deviation? Why? As n changed, why did the shape of the distribution of the data change? Use one to two complete sentences to explain what happened.