// File New-Lec5-02-01-00-05.txt. Edition 7/14/2010. // Title Estimating_Population_Means_and_Variances // Data file KeyWestLows.dat // List of Sample Sizes 1 40 1 5 // SampleSize // PauseCheckbox(-1 checked 0 cleared) // EstMeanOrVar (-1 if Mean only +1 Var only 0 both Mean and Var) // ShowToFrom (-1 show 0 don't show) // DefaultVarEstBasedOnActOrEst (-1 Act 0 Est) // DefaultVarEstDivisor (-1 T 0 T-1) ` 4 -1 -1 0 -1 -1 Two Objectives: _ First, show that the mean of the values sampled in a single experiment typically does not equal the actual mean of the population. That is, the estimated population mean, EstMean, typically does not equal the actual population mean, ActMean. _ Second, show that the estimated mean is a random variable. Even if we knew the actual population mean, we would not be able to predict the estimated population mean before an experiment was conducted. ` 4 -1 -1 0 -1 -1 By default, the sample size equals 4 and the Pause checkbox is selected. _ 1. Click Start. What is the estimated mean, EstMean, the mean of the four values randomly selected? Does the estimated mean equal the actual mean? _ 2. Click Continue to simulate a second poll. What is the estimated mean, EstMean, the mean of the four values randomly selected? Does the estimated mean equal the actual mean? ` 4 -1 -1 0 -1 -1 3. Click Continue a few more times to simulate more polls. Can we expect the estimated mean to equal the actual mean? _ 4. Even though we know the actual mean, can we predicted the estimated mean before the experiment is conducted? _ 5. What type of variable is the estimated mean?