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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 computationFri, 22 Oct 2010 08:43:56 +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/22/t12877369433xb70bkb31zs4qm.htm/, Retrieved Wed, 23 Apr 2025 02:13:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87337, Retrieved Wed, 23 Apr 2025 02:13:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact295

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: vraag 7] [2010-10-22 08:43:56] [380f6bceef280be3d93cc6fafd18141e] [Current]
-   P         [Testing Mean with unknown Variance - Critical Value] [WS4: vraag 7 (best)] [2010-10-22 09:03:42] [1fd136673b2a4fecb5c545b9b4a05d64]
-   P           [Testing Mean with unknown Variance - Critical Value] [ws4.1.7] [2010-10-25 19:26:30] [e4076051fbfb461c886b1e223cd7862f]
- R P           [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:40:27] [8f7c6937e89a5f5716ed1e29130ab1fa]
- RMPD        [Minimum Sample Size - Testing Mean] [WS4: vraag 11 A] [2010-10-22 09:18:45] [1fd136673b2a4fecb5c545b9b4a05d64]
-   P           [Minimum Sample Size - Testing Mean] [ws4.1.11 A] [2010-10-25 19:49:30] [e4076051fbfb461c886b1e223cd7862f]
- RMPD        [Minimum Sample Size - Testing Mean] [WS4: vraag 11 B] [2010-10-22 09:22:07] [1fd136673b2a4fecb5c545b9b4a05d64]
F   P           [Minimum Sample Size - Testing Mean] [Q11] [2010-10-25 19:45:28] [87116ee6ef949037dfa02b8eb1a3bf97]
-   P           [Minimum Sample Size - Testing Mean] [ws4.1.11 B] [2010-10-25 19:51:05] [e4076051fbfb461c886b1e223cd7862f]
- R P           [Minimum Sample Size - Testing Mean] [] [2011-10-24 13:12:21] [8f7c6937e89a5f5716ed1e29130ab1fa]
-   P           [Minimum Sample Size - Testing Mean] [] [2011-10-24 17:54:24] [1dc3906a3b5a6ec06dc921f387100c9e]
- R               [Minimum Sample Size - Testing Mean] [Taak 11] [2011-10-25 06:42:00] [54b1f171ce7a12209ffa11b565e1dcf5]
- R P             [Minimum Sample Size - Testing Mean] [] [2011-11-07 14:59:19] [46d7ccc24e5d35a2decd922dfb3b3a39]
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Dataset

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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'George Udny Yule' @ 72.249.76.132
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 & 'George Udny Yule' @ 72.249.76.132 \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=87337&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]'George Udny Yule' @ 72.249.76.132[/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=87337&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87337&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'George Udny Yule' @ 72.249.76.132
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 size63
Sample standard deviation3.71225672258781
Confidence0.98
Null hypothesis100
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.0418565993016 , 22.2756037181587 ]
Left-sided Confidence Interval[ 20.1775598117852 , +inf ]
Right-sided Confidence Interval[ -inf, 22.1399005056751 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.98 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.0418565993016 , 22.2756037181587 ] \tabularnewline
Left-sided Confidence Interval & [ 20.1775598117852 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  22.1399005056751 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87337&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.71225672258781[/C][/ROW]
[ROW][C]Confidence[/C][C]0.98[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.0418565993016 , 22.2756037181587 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.1775598117852 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  22.1399005056751 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87337&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87337&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 size63
Sample standard deviation3.71225672258781
Confidence0.98
Null hypothesis100
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.0418565993016 , 22.2756037181587 ]
Left-sided Confidence Interval[ 20.1775598117852 , +inf ]
Right-sided Confidence Interval[ -inf, 22.1399005056751 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.98 ; par2 = 100 ;
Parameters (R input):
par1 = 0.98 ; par2 = 100 ;
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')