//  File New-Lec5-02-05-00-05.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 0 1  0  0 0
Objective: Show that our third estimation procedure for the population variance is biased:
_______Calculate the deviation from the estimated mean, EstMean.
_______Square the deviation.
_______Sum the squared deviations.
_______Divide the sum of squared deviations by the sample size less 1, T-1.
_
Note the two new fields in the simulation:
___Use Mean: Est selected to calculate the deviations from estimated mean.
___Divide by: T-1 selected to divide by the sample size less 1.


`
Again 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 second estimation procedure for the population variance unbiased? Explain.