1. T06-02.S - 1 T06-02.S Standard Normal Distribution Graphical Purpose Allows the analyst to analyze the Standard Normal Probability Distribution. Probability Scenario's are calculated for "between", "greater than", and "less than". The template also allows the analyst to determine a Z value depending upon a "Cumulative Probability". A graphical representation of the Probability Scenario is also shown. Inputs Mean & Standard Deviation of Standard Normal Distribution Probability Scenario Outputs Probability Scenario Solution Graph of Probability Scenario

2. T06-02.S - 2 Standard Normal Distribution A normal probability distribution describes many random processes or continuous phenomena. It is the basis for classical statistical inference. f ( X )=Frequency of random variable x  =Population standard deviation =1  =3.14159; e = 2.71828 x =Value of random variable (-  < x <  )  =Population mean = 0

3. T06-02.S - 3 Standard Normal Distribution Example The Standard Normal Distribution is a Normal Distribution with mean and standard deviation of 0 and 1, respectively. For the Standard Normal Distribution what is the probability a. Less than 2 standard deviations b. More than –3 standard deviations c. Between –1 and 1 standard deviations d. Determine Z value such that the probability less than Z is equal to.6800?

4. T06-02.S - 4 Input the mean, standard deviation, & probability scenario, and the answer and graph for the Standard Normal Distribution probability scenario are automatically calculated

5. T06-02.S - 5 Input the mean, standard deviation, & probability scenario, and the answer and graph for the Standard Normal Distribution probability scenario are automatically calculated

6. T06-02.S - 6 Input the mean, standard deviation, & probability scenario, and the answer and graph for the Standard Normal Distribution probability scenario are automatically calculated

7. T06-02.S - 7 Caution : In using this portion of the template, you must enter the problem such that the input is the Cumulative Probability. Input the mean, standard deviation, & probability scenario, and the answer and graph for the Standard Normal Distribution probability scenario are automatically calculated