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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesisvariance4.wasp
Title produced by softwareTesting Variance - Confidence Intervals for Population Variance
Date of computationFri, 12 Nov 2010 08:38:59 +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/Nov/12/t1289551039a64fgzyjsl4tobp.htm/, Retrieved Sun, 17 May 2026 12:30:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94027, Retrieved Sun, 17 May 2026 12:30:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact409

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Testing Variance - Confidence Intervals for Population Variance] [vraag 8] [2010-11-12 08:38:59] [be9b1effb945c5b0652fb49bcca5faef] [Current]
-   P     [Testing Variance - Confidence Intervals for Population Variance] [vraag 8] [2010-11-12 08:43:12] [9f0fea5f96e3630b8f903250153d0968]
- RMP     [Testing Mean with known Variance - Sample Size] [vraag 9] [2010-11-12 08:48:05] [9f0fea5f96e3630b8f903250153d0968]
-   P       [Testing Mean with known Variance - Sample Size] [Vraag 10] [2010-11-12 08:51:39] [9f0fea5f96e3630b8f903250153d0968]
F RMP       [Minimum Sample Size - Testing Mean] [vraag 11] [2010-11-12 08:55:50] [9f0fea5f96e3630b8f903250153d0968]
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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 time3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94027&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]3 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=94027&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94027&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 time3 seconds
R Server'George Udny Yule' @ 72.249.76.132






Testing Variance - Confidence Intervals for Population Variance
Sample size98
Sample variance13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6511.475357451688615.0218461368492
Left one-sided confidence interval at 0.6512.3896028378932+inf
Right one-sided confidence interval at 0.65013.8438666238648
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Population Variance \tabularnewline
Sample size & 98 \tabularnewline
Sample variance & 13 \tabularnewline
Confidence interval & 0.65 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.65 & 11.4753574516886 & 15.0218461368492 \tabularnewline
Left one-sided confidence interval at  0.65 & 12.3896028378932 & +inf \tabularnewline
Right one-sided confidence interval at  0.65 & 0 & 13.8438666238648 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94027&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Population Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample variance[/C][C]13[/C][/ROW]
[ROW][C]Confidence interval[/C][C]0.65[/C][/ROW]
[ROW][C]Type of Interval[/C][C]Left tail[/C][C]Right tail[/C][/ROW]
[ROW][C]Two-sided confidence interval at  0.65[/C][C]11.4753574516886[/C][C]15.0218461368492[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.65[/C][C]12.3896028378932[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.65[/C][C]0[/C][C]13.8438666238648[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94027&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94027&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 Variance - Confidence Intervals for Population Variance
Sample size98
Sample variance13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6511.475357451688615.0218461368492
Left one-sided confidence interval at 0.6512.3896028378932+inf
Right one-sided confidence interval at 0.65013.8438666238648
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 98 ; par2 = 13 ; par3 = 0.65 ;
Parameters (R input):
par1 = 98 ; par2 = 13 ; par3 = 0.65 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
df <- par1 - 1
halfalpha <- (1 - par3) / 2
ub <- par2 * df / qchisq(halfalpha,df)
ua <- par2 * df / qchisq(1-halfalpha,df)
ua
ub
ur <- par2 * df / qchisq(1-par3,df)
ur
ul <- par2 * df / qchisq(par3,df)
ul
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_variance.htm','Testing Variance - Confidence Intervals for Population Variance','learn more about Statistical Hypothesis Testing about the Variance'),3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,par1,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample variance',header=TRUE)
a<-table.element(a,par2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence interval',header=TRUE)
a<-table.element(a,par3,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type of Interval',header=TRUE)
a<-table.element(a,'Left tail',header=TRUE)
a<-table.element(a,'Right tail',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Two-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,ua)
a<-table.element(a,ub)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Left one-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,ul)
a<-table.element(a,'+inf')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Right one-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,'0')
a<-table.element(a,ur)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, hyperlink('ht_variance.htm#ex4', 'more information about confidence interval','example'),3,TRUE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')