bwBASIC/BP100/VALADINF.run

         VALUE OF ADDITIONAL SAMPLE INFORMATIOM                                 
                                                                                
IN SITUATIONS WHERE SAMPLING IS DONE IT IS GENERALLY ASSUMED                    
THAT LARGER SAMPLES PROVIDE MORE INFORMATION ABOUT THE TRUE                     
SITUATION THAN DO SMALLER SAMPLES. THE ADDITIONAL INFORMATION                   
WHICH THE LARGER SAMPLE SIZE BRINGS COULD BE COMPUTED IF                        
WE COULD SOMEHOW MEASURE THE UNCERTAINTY IN THE INFORMATION                     
BOTH BEFORE AND AFTER TAKING THE SAMPLE. SUCH A MEASURE                         
OF UNCERTAINTY EXISTS AND IS SOMETIMES CALLED SHANNON                           
INFORMATION. THIS PROGRAM GIVES BOUNDS ON THE UNCERTAINTY                       
WHEN THE SAMPLING IS COMING FROM A NORMAL DISTRIBUTION WITH                     
BOUNDED VARIANCE.                                                               
                                                                                
PRESS ENTER TO CONTINUE?                                                        
NECESSARY INPUT INCLUDES AN UPPER BOUND ON THE VARIANCE                         
OF THE DISTRIBUTION, THE NUMBER OF OBSERVATIONS IN THE                          
INITIAL SAMPLE AND THE ADDITIONAL NUMBER OF OBSERVATIONS IN                     
THE FINAL SAMPLE.                                                               
                                                                                
PRESS ENTER TO BEGIN?                                                           
DO YOU HAVE BOUND FOR VARIANCE(V) OR STANDARD DEVIATION(S)? S                   
ENTER STANDARD DEVIATION UPPER BOUND? 1.23                                      
                                                                                
INITIAL SAMPLE SIZE ? 3                                                         
ADDITIONAL SAMPLE SIZE? 2                                                       
INITIAL UNCERTAINTY WAS  2.59771                                                
FINAL UNCERTAINTY WAS    2.3423                                                 
THIS REPRESENTS A CHANGE OF .255413 UNCERTAINTY UNITS                           
AND IS A CHANGE OF ABOUT 9.83224 %                                              
                                                                                
PRESS ENTER FOR MORE? -1