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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationTue, 23 Oct 2012 06:28:31 -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/2012/Oct/23/t13509881301jdst5zm0gydos2.htm/, Retrieved Thu, 12 Feb 2026 00:07:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=182826, Retrieved Thu, 12 Feb 2026 00:07:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact387

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] [WS 4 Vraag 6 Herh...] [2012-10-23 10:28:31] [4d6e08f41f6a03e9e6e7c5dd2227ef0b] [Current]
- R P     [Testing Mean with unknown Variance - Critical Value] [WS 4 Vraag 6 Herh...] [2012-10-23 10:30:14] [3175d908ed4615b229d48bd9d09ab12a]
-   PD    [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 6 herh...] [2012-10-23 10:33:37] [3175d908ed4615b229d48bd9d09ab12a]
- RMP     [One Sample Tests about the Mean] [WS 4 vraag 7 Mannen] [2012-10-23 10:40:09] [3175d908ed4615b229d48bd9d09ab12a]
- RMPD    [One Sample Tests about the Mean] [WS 4 Vraag 7 Vrouwen] [2012-10-23 10:43:49] [3175d908ed4615b229d48bd9d09ab12a]
- RMP     [Variability] [WS 4 vraag 8 Mannen] [2012-10-23 11:38:04] [3175d908ed4615b229d48bd9d09ab12a]
- RMPD    [Testing Variance - p-value (probability)] [WS 4 vraag 8 Mann...] [2012-10-23 11:41:38] [3175d908ed4615b229d48bd9d09ab12a]
- RMPD    [Testing Variance - Critical Value (Region)] [WS 4 vraag 8 Mann...] [2012-10-23 11:44:05] [3175d908ed4615b229d48bd9d09ab12a]
- RMPD    [Variability] [WS 4 vraag 8 Vrouwen] [2012-10-23 11:45:32] [3175d908ed4615b229d48bd9d09ab12a]
- RMPD    [Testing Variance - p-value (probability)] [WS 4 vraag 8 Vrou...] [2012-10-23 11:47:53] [3175d908ed4615b229d48bd9d09ab12a]
- RMPD    [Testing Variance - Critical Value (Region)] [WS 4 Vraag 8 Vrou...] [2012-10-23 11:50:03] [3175d908ed4615b229d48bd9d09ab12a]
- RMPD    [Testing Mean with known Variance - Sample Size] [WS 4 vraag 9] [2012-10-23 11:53:43] [3175d908ed4615b229d48bd9d09ab12a]
- R P       [Testing Mean with known Variance - Sample Size] [WS 4 vraag 10] [2012-10-23 11:56:39] [3175d908ed4615b229d48bd9d09ab12a]
- RMP       [Minimum Sample Size - Testing Mean] [WS 4 vraag 11 ] [2012-10-23 12:00:08] [3175d908ed4615b229d48bd9d09ab12a]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
20
19

20
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19
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182826&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182826&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182826&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Hypothesis Test about the Mean - Confidence Interval
Sample size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis0
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 3.60983764663337 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 20.2857142857143 \tabularnewline
2-sided Confidence Interval & [ 19.5619876187585 , 21.00944095267 ] \tabularnewline
Left-sided Confidence Interval & [ 19.6801369145128 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.8912916569158 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182826&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.60983764663337[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.2857142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.5619876187585 , 21.00944095267 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.6801369145128 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.8912916569158 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182826&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182826&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:

Hypothesis Test about the Mean - Confidence Interval
Sample size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis0
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
len <- length(x)
df <- len - 1
sd <- sd(x)
mx <- mean(x)
load(file='createtable')
delta2 <- abs(qt((1-par1)/2,df)) * sd / sqrt(len)
delta1 <- abs(qt((1-par1),df)) * sd / sqrt(len)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Hypothesis Test about the Mean - Confidence Interval',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample standard deviation',header=TRUE)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis',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,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'2-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta2)
dum <- paste(dum,',')
dum <- paste(dum,mx+delta2)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Left-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta1)
dum <- paste(dum,', +inf ]')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Right-sided Confidence Interval',header=TRUE)
dum <- paste('[ -inf, ',mx+delta1)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')