7-11-5

Distributions

SProgram, eActivity or Main Application

Command: NormCD :

Command Syntax

Lower value, Upper value, σ value, μ value

Input Example:

NormCD −δ,36,2,35

Inverse Normal Cumulative Distribution

Menu: [Inv. Distribution]-[Inverse Normal CD]

Description: This command calculates the cumulative probability in a normal distribution based on lower and upper bounds.

This command returns the upper and lower bound of integration values that satisfy the equations below.

Tail:Left

Tail:Right

Tail:Center

 

 

 

 

 

 

 

Upper bound α is

Lower bound α is

Lower bound α and upper

returned.

returned.

bound β are returned.

 

 

 

 

μ =

α+ β

 

 

 

 

 

 

 

 

 

 

2

 

Definition of Terms

Tail setting: probability value tail specification (L (Left), R (Right), C (Center))

Area : probability value (0 Area 1)

σ:population standard deviation (σ > 0)

μ :population mean

Calculation Result Output

inverse cumulative normal distribution x1InvN: Upper bound when Tail:Left

Lower bound when Tail:Right or Tail:Center x2InvN: Upper bound when Tail:Center

Example

Tail : Left

Probability : 0.7

Population standard deviation : 2

Population mean : 35

Statistics Wizard Operation

(1)On the menu bar, tap [Calc] and then [Distribution].

(2)Select [Inverse Normal CD] and then tap [Next >>].

(3)Select Tail setting [Left] and input values.

(4)Tap [Next >>].

(5)To display the graph, tap .

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