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Author

*The author of this computation has been verified*

R Software Module

rwasp_normalarea.wasp

Title produced by software

Area under Normal Density

Date of computation

Wed, 13 Oct 2010 16:35:56 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/13/t1286987705odclf1opbxf40ii.htm/, Retrieved Mon, 06 May 2024 10:59:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83161, Retrieved Mon, 06 May 2024 10:59:07 +0000

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Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Area under Normal Density] [Chapter 5 - Slide 13] [2010-10-13 16:35:56] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83161&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83161&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83161&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Area under Normal Density Function
lower value (L)	8
upper value (U)	12
mean	10
standard deviation	1.5
P[X <= L]	0.0912112197258678
P[X <= U]	0.908788780274132
P[L <= X < U]	0.817577560548264
1 - P[L <= X < U]	0.182422439451736

\begin{tabular}{lllllllll}
\hline
Area under Normal Density Function \tabularnewline
lower value (L) & 8 \tabularnewline
upper value (U) & 12 \tabularnewline
mean & 10 \tabularnewline
standard deviation & 1.5 \tabularnewline
P[X <= L] & 0.0912112197258678 \tabularnewline
P[X <= U] & 0.908788780274132 \tabularnewline
P[L <= X < U] & 0.817577560548264 \tabularnewline
1 - P[L <= X < U] & 0.182422439451736 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83161&T=1

[TABLE]
[ROW][C]Area under Normal Density Function[/C][/ROW]
[ROW][C]lower value (L)[/C][C]8[/C][/ROW]
[ROW][C]upper value (U)[/C][C]12[/C][/ROW]
[ROW][C]mean[/C][C]10[/C][/ROW]
[ROW][C]standard deviation[/C][C]1.5[/C][/ROW]
[ROW][C]P[X <= L][/C][C]0.0912112197258678[/C][/ROW]
[ROW][C]P[X <= U][/C][C]0.908788780274132[/C][/ROW]
[ROW][C]P[L <= X < U][/C][C]0.817577560548264[/C][/ROW]
[ROW][C]1 - P[L <= X < U][/C][C]0.182422439451736[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83161&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83161&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Area under Normal Density Function
lower value (L)	8
upper value (U)	12
mean	10
standard deviation	1.5
P[X <= L]	0.0912112197258678
P[X <= U]	0.908788780274132
P[L <= X < U]	0.817577560548264
1 - P[L <= X < U]	0.182422439451736

Parameters (Session):

par1 = 8 ; par2 = 12 ; par3 = 10 ; par4 = 1.5 ;

Parameters (R input):

par1 = 8 ; par2 = 12 ; par3 = 10 ; par4 = 1.5 ;

R code (references can be found in the software module):

if (par1 == '') par1 <- -Inf else par1 <- as.numeric(par1)
if (par2 == '') par2 <- Inf else par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par4 <= 0) par4 = 1
(pl <- pnorm(par1,par3,par4))
(pu <- pnorm(par2,par3,par4))
(pbetween <- pu - pl)
(poutside <- 1 - pbetween)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Area under Normal Density Function',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'lower value (L)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'upper value (U)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[X <= L]',header=TRUE)
a<-table.element(a,pl)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[X <= U]',header=TRUE)
a<-table.element(a,pu)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[L <= X < U]',header=TRUE)
a<-table.element(a,pbetween)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1 - P[L <= X < U]',header=TRUE)
a<-table.element(a,poutside)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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