//  File MIT-Lab-26-02-00-05.txt. Edition 2/26/2020.


//  Title
      Mean_and_Variance
//  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)


` 1 0 -1  0  -1 -1
Objective: Exploit the relative frequency interpretation of probability to 
 show that the equations we derived for mean and variance of the estimated
 mean's, EstMean's, probability distribution are correct.
_
Note that the actual population mean, ActMean, equals 64.56 and the actual
 population variance, ActVar, equals 43.39. Use the equations we dervied
 to calculate the mean and variance of the estimated mean's, EstMean's,
 probability distribution when the sample size is
_______1. 1. ___________2. 4. ___________3. 10.

`
Be certain that the Pause checkbox is cleared. Consider each of the
 sample sizes: 1, 4, and 10. 
_
4. In each case, select the appropriate sample size and click the Start button.
 After many, many repetitions click the Stop button. How do the mean and
 variance of EstMean's probability distribution calculated from the equations
 we derived (questions 1-3) compare to the mean and variance of EstMean's
 numerical values after many, many repetitions?