HP 30b HP 20b Business Consultant and HP 30b Business Professional User's Guid - Page 29

The Probability Sub-menu, Inverse Lower Tail Normal Distribution LTND

Page 29 highlights

O :s Press to cancel the Math menu and return to current work. Press to return to the top of the Math menu. For example, using the math menu calculate Sin -1 (0.5), see Table 2-5. Table 2-5 Math Menu Example Keys Display .5I :s Description Enters 0.5 and opens the Math menu starting with Trigonometry. I< Selects the Trigonometry sub-menu and scrolls to Sin-1. Note the value for Sin-1 is calculated immediately and displayed. I or = Validates the result. In the Math menu, PI does not perform calculations; it enters PI for calculations. You may start an operation, use the Math menu to execute a function, and continue calculating with your original operation without losing your work. The Probability Sub-menu Lower Tail Normal Distribution (LTND) calculates the probability for a normally distributed, random variable to be less than the input. Inverse Lower Tail Normal Distribution (LTND-1) is the inverse function for LTND; it calculates the value (V) for which the probability of a normally distributed, random variable to be less than V is the given input. Student, Inverse Student, Chi2 (χ 2), Inverse Chi2, F-Distribution and Inverse F-Distribution perform similar operations for Student, Chi2, and F-Distributions. Student, Chi2, and F-Distribution and their inverse operations are special cases, as they require more than one number as input. Student and Chi2 require (N), the number of degrees of freedom, and F-Distribution requires (N1) and (N2), two degrees of freedom. To perform Student and Chi2 operations or their inverse: I 1. Enter the number of degree(s) of freedom by typing the number and pressing or =. 2. Type the number for which you want to calculate the probability, or, for the inverse, the probability for which you want the number. 3. Navigate to the appropriate function in the Probability sub-menu of the Math menu. To perform F-Distribution operations or their inverse: Mathematical Calculations 21

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Mathematical Calculations
21
Press
O
to cancel the Math menu and return to current work. Press
:s
to return
to the top of the Math menu.
For example, using the math menu calculate
Sin
–1
(0.5), see Table 2-5.
In the Math menu,
PI
does not
perform
calculations; it enters
PI for
calculations. You may start
an operation, use the Math menu to execute a function, and continue calculating with your
original operation without losing your work.
The Probability Sub-menu
Lower Tail Normal Distribution (LTND) calculates the probability for a normally distributed,
random variable to be less than the input.
Inverse Lower Tail Normal Distribution (LTND
-1
) is the inverse function for LTND; it calculates
the value (V) for which the probability of a normally distributed, random variable to be less
than V is the given input. Student, Inverse Student, Chi
2
(
2
), Inverse Chi
2
, F-Distribution and
Inverse F-Distribution perform similar operations for Student, Chi
2
, and F-Distributions.
Student, Chi
2
, and F-Distribution and their inverse operations are special cases, as they
require more than one number as input. Student and Chi
2
require (N), the number of degrees
of freedom, and F-Distribution requires (N1) and (N2), two degrees of freedom.
To perform Student and Chi
2
operations or their inverse:
1.
Enter the number of degree(s) of freedom by typing the number and pressing
I
or
=
.
2.
Type the number for which you want to calculate the probability, or, for the inverse, the
probability for which you want the number.
3.
Navigate to the appropriate function in the Probability sub-menu of the Math menu.
To perform F-Distribution operations or their inverse:
Table 2-5
Math Menu Example
Keys
Display
Description
.5I
:s
Enters 0.5 and opens the Math menu starting
with
Trigonometry
.
I<
Selects the
Trigonometry
sub-menu and scrolls to
Sin
-1
. Note the value for
Sin
-1
is calculated
immediately and displayed.
I
or
=
Validates the result.
χ