Peer Reply #1: Review a classmate’s post. Respond to them as a friend. In a few sentences, explain to them what the Central Limit Theorem says referencing the mean for their Nickel Sample, Dime Sample, and Quarter Sample. See Example VENP1Describe the distribution shape of the population of penny ages (i.e., left skewed, symmetric, right skewed). The distribution of this population is right skewed.On your copy of the Penny Population document, randomly select 5 penny ages from this population. Calculate the mean of this Nickel Sample (sample size n = 5). How does this compare to the population mean? The mean of the nickel sample was 41.8. Rounded up this is 42. This is above the population mean.On your copy of the Penny Population document, randomly select 10 penny ages from this population. Calculate the mean of this Dime Sample (sample size n = 10). How does this compare to the population mean? The mean of the dime sample was 22.5. Rounded up this is 23. This population was in line with the population mean.On your copy of the Penny Population document, randomly select 25 penny ages from this population. Calculate the mean of this Quarter Sample (sample size n = 25). How does this compare to the population mean? The mean of the quarter sample was 19.96. Rounded up this is 20. This is slightly below the population mean.Enter your Nickel Sample mean, Dime Sample mean, and Quarter Sample mean in the Sampling Form sent by your instructor. It will generate a histogram of the class means for each sample (Nickel Samples, Dime Samples, and Quarter Samples). See document.Copy and paste the class histograms as they look so far for others to review in the discussion. See document.Peer Reply #2: Review another classmates’ post. Respond to them as a friend. What do you notice about the shape of the histograms for the Nickel samples, Dime samples, and Quarter samples. Do any of their histograms look normal? What can you infer about a Half Dollar Sample (sample size n = 50)? See Example. Crystal discovered:The shape of the population is right skewed, meaning the histogram is heavier to the left.The population mean for the nickel sample is 40.2. My five I selected produced a mean of 6.8 so significantly less.The population mean for the dime sample is 20.2. The ten I selected produced a mean of 11.9. Again, a big difference determined by the random selection.The population mean for the quarter sample is 21.32 and the quarter sample I collected gave me a mean of 17.2. The gap is the closest in this example./6. attached below
