Run some probabilities, discuss in the group forum as needed: a) What is the probability that a single randomly chosen value (from 1 to 100) would be over 60? [Note that this is a uniform distribution, so don't use the NormalCdf command] b) What is the probability that the mean of a group of 5 randomly chosen values (from 1 to 100) would be over 60? [Note the population SD is 29.01, and that sample means are approximately Normally distributed, so the NormaICdf command is now appropriate, but adjust your SD to reflect a sample size of 5.] c) Look over your group results what percent of your group's samples of 5 have a mean over 60? d) What is the probability that the mean of a group of 20 randomly chosen values (from 1 to 100) would be over 60 (adjust your SD to reflect a sample size of 20)? e] Look over your group results what percent of your group's samples of 20 have a mean over 60? f) What is the probability that a single randomly chosen value (from 1 to 100) would be between 50 and 60? [Note that this is a uniform distribution, so don't use the NormalCdf command] 3) What is the probability that the mean of a group of 5 randomly chosen values (from 1 to 100) would be between 50 and 60? [Note that sample means are approximately Normally distributed, so the NormalCdf command is now appropriate, but adjust your SD to reflect a sample size of 5] h) Look over your group results what percent of your group's samples of 5 have a mean between 50 and 50? i) What is the probability that the mean ofa group of 20 randomly chosen values (from 1 to 100) would be between 50 and 60 (adjust your SD to reflect a sample size of 20)? j) Look over your group results what percent of your group's samples of 20 have a mean between 50 and 60? k) When the sample size is larger (i.e. size 20 versus size 5), the means stay closer to the of the population data set