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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean3.wasp
Title produced by softwareTesting Mean with known Variance - Type II Error
Date of computationWed, 30 Oct 2013 12:50:44 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Oct/30/t1383151862pr1dty0cnbymiwa.htm/, Retrieved Thu, 02 May 2024 07:33:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=221176, Retrieved Thu, 02 May 2024 07:33:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Mean with unknown Variance - Critical Value] [Mean with unknown...] [2013-10-30 15:45:02] [b4ae39dd791a72833d5d6fbec43944d4]
- R  D  [Testing Mean with unknown Variance - Critical Value] [Mean with unknown...] [2013-10-30 15:46:06] [b4ae39dd791a72833d5d6fbec43944d4]
- R PD    [Testing Mean with unknown Variance - Critical Value] [2-zijdige interva...] [2013-10-30 15:53:46] [b4ae39dd791a72833d5d6fbec43944d4]
- RMP       [One Sample Tests about the Mean] [P-value ] [2013-10-30 16:05:24] [b4ae39dd791a72833d5d6fbec43944d4]
- R  D        [One Sample Tests about the Mean] [P-value vrouwen] [2013-10-30 16:07:20] [b4ae39dd791a72833d5d6fbec43944d4]
- R PD          [One Sample Tests about the Mean] [Mean with unknown...] [2013-10-30 16:42:06] [b4ae39dd791a72833d5d6fbec43944d4]
- RM D            [Testing Mean with known Variance - Type II Error] [Testing mean with...] [2013-10-30 16:48:25] [b4ae39dd791a72833d5d6fbec43944d4]
- R                   [Testing Mean with known Variance - Type II Error] [Testing mean with...] [2013-10-30 16:50:44] [39bbe84484d657d2e6fd8a60bf77f148] [Current]
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Dataset

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=221176&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=221176&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=221176&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Testing Mean with known Variance
sample size63
population variance13
sample mean21.158
null hypothesis about mean20
type I error0.05
alternative hypothesis about mean21
Type II Error0.288919330881577

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
sample size & 63 \tabularnewline
population variance & 13 \tabularnewline
sample mean & 21.158 \tabularnewline
null hypothesis about mean & 20 \tabularnewline
type I error & 0.05 \tabularnewline
alternative hypothesis about mean & 21 \tabularnewline
Type II Error & 0.288919330881577 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=221176&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]sample size[/C][C]63[/C][/ROW]
[ROW][C]population variance[/C][C]13[/C][/ROW]
[ROW][C]sample mean[/C][C]21.158[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]20[/C][/ROW]
[ROW][C]type I error[/C][C]0.05[/C][/ROW]
[ROW][C]alternative hypothesis about mean[/C][C]21[/C][/ROW]
[ROW][C]Type II Error[/C][C]0.288919330881577[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=221176&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=221176&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Testing Mean with known Variance
sample size63
population variance13
sample mean21.158
null hypothesis about mean20
type I error0.05
alternative hypothesis about mean21
Type II Error0.288919330881577


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = two.sided ; par2 = 0.65 ; par3 = 13 ;
Parameters (R input):
par1 = 63 ; par2 = 13 ; par3 = 21.158 ; par4 = 20 ; par5 = 0.05 ; par6 = 21 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
par4<-as.numeric(par4)
par5<-as.numeric(par5)
par6<-as.numeric(par6)
c <- 'NA'
csn <- abs(qnorm(par5))
if (par3 == par4)
{
conclusion <- 'Error: the null hypothesis and sample mean must not be equal.'
}
if (par3 > par4)
{
c <- par4 + csn * sqrt(par2) / sqrt(par1)
}
if (par3 < par4)
{
c <- par4 - csn * sqrt(par2) / sqrt(par1)
}
p <- pnorm((c - par6) / (sqrt(par2/par1)))
p
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm','Testing Mean with known Variance','learn more about Statistical Hypothesis Testing about the Mean when the Variance is known'),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'sample size',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'population variance',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'sample mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'null hypothesis about mean',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type I error',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alternative hypothesis about mean',header=TRUE)
a<-table.element(a,par6)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm#ex3','Type II Error','example'),header=TRUE)
a<-table.element(a,p)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')