SAMPLE EXCEL PROGRAM
(SEE USE OF NORMSDIST IN THE STATISTICAL FUNCTIONS)
1. Program to determine probabilities associated with a range of values of X given population mean and standard deviation, assuming that X is normally distributed
INTRODUCTION: This program estimate the probability P
(X1<X<X2) on the assumption that X is normally distributed give the
population mean of X and standard deviation.
INSTRUCTION
ENTER POPULATION MEAN, STANDARD DEVIATION, X1, AND X2,
a) ENTER
MEAN (ASSUME CELL WHERE MEAN WILL BE
PLACED IS J8)
b)
ENTER STANDARD DEVIATION (ASSUME CELL WHERE SD WILL BE PLACED IS J9)
c)
ENTER X1 (ASSUME THAT THE CELL WHERE X1 WILL BE PLACED IS J10)
d) ENTER X2 (ASSUME THAT THE CELL WHERE X2 WILL BE
PLACED IS J11)
THEREFORE, Z OF X1 IS _____ HERE USE THE
FORMULA +(J10-J18)/J9
THEREFORE, Z OF X2 IS _____ HERE USE THE
FORMULA +(J11-J8)/J9
NOW ASSUME THAT THE Z OF X1 IS IN CELL E13
AND THAT THE CELL OF X2 IS CELL X14
THEREFORE, PROBABILITY OF A VALUE FROM X1 TO
X2 OR P(X1<X<X2) IS ________
TO GET THE PROBABILITY, USE THE
FORMULA @NORMSDIST(+E14)-@NORMSDIST(+E13) ON THE CELL
WHERE THE PROBABILITY IS TO BE PLACED.