20060301
7-11-5
Distributions
Inverse Normal Cumulative Distribution
Menu: [Distribution]-[Inverse Normal CD]
Description: This command calculates the cumulative probability in a normal distribution
based on lower and upper bounds.
Specify a probability and then use the above formulas to obtain the applicable
integration interval.
Defi nition of Terms
Tail setting: probability value tail specifi cation (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
x
1
InvN: Upper bound when Tail:Left
Lower bound when Tail:Right or Tail:Center
x
2
InvN: 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
$
.
u
Program, eActivity or Main Application
Command: InvNormCD
Ⅺ
or InvNorm
Ⅺ
Command Syntax
“Tail setting”, Area value,
σ
value,
μ
value
Input Example:
InvNorm “L”,0.7,2,35
Tail:Left
Upper bound of
integration
α
= ?
Tail:Right
Lower bound of
integration
α
= ?
Tail:Center
Lower and Upper bounds of
integration
α
= ?
β
= ? However,
μ
=
2
α
+
β
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