//  File New-Lec5-02-02-00-05.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)


` 1 0 -1  0  -1 -1
Objective: Exploit the relative frequency interpretation of probability to 
 show that the equations for mean and variance of the estimated mean's,
 EstMean's, probability distribution are correct.
_
Note that the actual population mean, ActMean, equals 58.56 and the actual
 population variance, ActVar, equals 3.51. Use the appropriate
 equations 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 (questions 1-3) compare to
 the mean and variance of EstMean's numerical values after many, many repetitions?