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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean1.wasp
Title produced by softwareTesting Mean with known Variance - Critical Value
Date of computationMon, 25 Oct 2010 20:17:41 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/25/t12880378013fra9gpzp3a6k33.htm/, Retrieved Mon, 29 Apr 2024 21:39:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88481, Retrieved Mon, 29 Apr 2024 21:39:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact209

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
-   PD    [Testing Mean with unknown Variance - Critical Value] [WS4 - Question 5] [2010-10-25 19:47:30] [1f5baf2b24e732d76900bb8178fc04e7]
- RMPD        [Testing Mean with known Variance - Critical Value] [WS4 - Question 8 ...] [2010-10-25 20:17:41] [ee4a783fb13f41eb2e9bc8a0c4f26279] [Current]
F R P           [Testing Mean with known Variance - Critical Value] [WS4 Q8] [2010-10-26 18:21:42] [afe9379cca749d06b3d6872e02cc47ed]
-                 [Testing Mean with known Variance - Critical Value] [Workshop 1] [2010-11-11 15:50:52] [eb6e95800005ec22b7fd76eead8d8a59]
- R               [Testing Mean with known Variance - Critical Value] [WS IV question 8 ...] [2011-10-23 14:00:18] [7c680a04865e75aa8ab422cdbfd97ac3]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-24 13:03:58] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-24 20:55:09] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 09:56:08] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 09:56:48] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 10:03:30] [0748461f029d231b348d2f525a63e360]
- RMP             [Testing Mean with known Variance - p-value] [] [2011-10-24 20:59:41] [0748461f029d231b348d2f525a63e360]
- R P             [Testing Mean with known Variance - Critical Value] [taak 8 mannen] [2011-10-25 11:36:52] [380049693c521f4999989215fb37aeca]
-   P               [Testing Mean with known Variance - Critical Value] [WS4-Q8.1] [2011-10-25 19:20:12] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 21:00:13] [74be16979710d4c4e7c6647856088456]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 22:51:15] [493236dcc414c5f9e1823f06b33a5ad6]
-  MP                 [Testing Mean with known Variance - Critical Value] [] [2011-11-08 17:37:08] [22f8bc702946f784836540059d0d9516]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-25 17:27:22] [a1957df0bc37aec4aa3c994e6a08412c]
- R                 [Testing Mean with known Variance - Critical Value] [] [2011-10-25 17:33:28] [a1957df0bc37aec4aa3c994e6a08412c]
- RMPD            [Variability] [Ws] [2012-10-23 08:24:41] [8c30f4dd45e15fd207e4faf2fdf6253e]
- RMPD            [Variability] [WS 4 Q 8.2] [2012-10-23 08:26:30] [8c30f4dd45e15fd207e4faf2fdf6253e]
- R P             [Testing Mean with known Variance - Critical Value] [Q8.1] [2012-10-23 16:59:16] [74be16979710d4c4e7c6647856088456]
- R               [Testing Mean with known Variance - Critical Value] [] [2012-10-23 17:56:54] [74be16979710d4c4e7c6647856088456]
- R P           [Testing Mean with known Variance - Critical Value] [] [2011-10-25 23:47:14] [19d77e37efa419fdc040c74a96874aff]
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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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88481&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88481&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88481&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' @ 72.249.127.135






Testing Mean with known Variance
sample size98
population variance13
sample mean20.2857142857143
null hypothesis about mean20
type I error0.35
critical value (one-tailed)20.1403397555142
confidence interval (two-tailed)(sample mean)[ 19.9453222119730 , 20.6261063594556 ]
conclusion for one-tailed test
Reject the null hypothesis.
conclusion for two-tailed test
Do not reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
sample size & 98 \tabularnewline
population variance & 13 \tabularnewline
sample mean & 20.2857142857143 \tabularnewline
null hypothesis about mean & 20 \tabularnewline
type I error & 0.35 \tabularnewline
critical value (one-tailed) & 20.1403397555142 \tabularnewline
confidence interval (two-tailed)(sample mean) & [ 19.9453222119730 ,  20.6261063594556 ] \tabularnewline
conclusion for one-tailed test \tabularnewline
Reject the null hypothesis. \tabularnewline
conclusion for two-tailed test \tabularnewline
Do not reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88481&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]sample size[/C][C]98[/C][/ROW]
[ROW][C]population variance[/C][C]13[/C][/ROW]
[ROW][C]sample mean[/C][C]20.2857142857143[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]20[/C][/ROW]
[ROW][C]type I error[/C][C]0.35[/C][/ROW]
[ROW][C]critical value (one-tailed)[/C][C]20.1403397555142[/C][/ROW]
[ROW][C]confidence interval (two-tailed)(sample mean)[/C][C][ 19.9453222119730 ,  20.6261063594556 ][/C][/ROW]
[ROW][C]conclusion for one-tailed test[/C][/ROW]
[ROW][C]Reject the null hypothesis.[/C][/ROW]
[ROW][C]conclusion for two-tailed test[/C][/ROW]
[ROW][C]Do not reject the null hypothesis[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88481&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88481&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 size98
population variance13
sample mean20.2857142857143
null hypothesis about mean20
type I error0.35
critical value (one-tailed)20.1403397555142
confidence interval (two-tailed)(sample mean)[ 19.9453222119730 , 20.6261063594556 ]
conclusion for one-tailed test
Reject the null hypothesis.
conclusion for two-tailed test
Do not reject the null hypothesis


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.98 ; par2 = 20 ;
Parameters (R input):
par1 = 98 ; par2 = 13 ; par3 = 20.2857142857143 ; par4 = 20 ; par5 = 0.35 ;
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)
c <- 'NA'
csn <- abs(qnorm(par5))
csn2 <- abs(qnorm(par5/2))
if (par3 == par4)
{
conclusion <- 'Error: the null hypothesis and sample mean must not be equal.'
conclusion2 <- conclusion
} else {
cleft <- par3 - csn2 * sqrt(par2) / sqrt(par1)
cright <- par3 + csn2 * sqrt(par2) / sqrt(par1)
c2 <- paste('[',cleft)
c2 <- paste(c2,', ')
c2 <- paste(c2,cright)
c2 <- paste(c2,']')
if ((par4 < cleft) | (par4 > cright))
{
conclusion2 <- 'Reject the null hypothesis'
} else {
conclusion2 <- 'Do not reject the null hypothesis'
}
}
if (par3 > par4)
{
c <- par4 + csn * sqrt(par2) / sqrt(par1)
if (par3 < c)
{
conclusion <- 'Do not reject the null hypothesis.'
} else {
conclusion <- 'Reject the null hypothesis.'
}
}
if (par3 < par4)
{
c <- par4 - csn * sqrt(par2) / sqrt(par1)
if (par3 > c)
{
conclusion <- 'Do not reject the null hypothesis.'
} else {
conclusion <- 'Reject the null hypothesis.'
}
}
c
conclusion
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,hyperlink('ht_mean_knownvar.htm#overview','critical value (one-tailed)','about the critical value'),header=TRUE)
a<-table.element(a,c)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'confidence interval (two-tailed)
(sample mean)',header=TRUE)
a<-table.element(a,c2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'conclusion for one-tailed test',2,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,conclusion,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'conclusion for two-tailed test',2,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,conclusion2,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')