// File New-Lec5-02-03-00-05.txt. Edition 7/14/2010. // Title Estimating_Population_Means_and_Variances // Data file KeyWestLows.dat // List of Sample Sizes 1 40 1 5 // Problem Specs // 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 0 1 0 -1 -1 Objective: Show that our first estimation procedure for the population variance is unbiased: _______Calculate the deviation from the actual mean, ActMean. _______Square the deviation. _______Sum the squared deviations. _______Divide the sum of squared deviations by the sample size, T. _ Two new fields have now appeared in the simulation: ___Use Mean: Act selected to calculate the deviations from actual mean. ___Divide by: T selected to divide by T, the sample size. ` Note that the Estimate Variance checkbox is checked; the simulation will be estimated the propulation variance. _ By default, the sample size equals 4. Be certain the the Pause checkbox is cleared. _ 1. Click Continue and then after many, many repetitions click Stop. What is the mean (average) of the variance estimates? _ 2. Is our first estimation procedure for the population variance unbiased? Explain.