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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 computationWed, 27 Oct 2010 17:23:44 +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/27/t1288200177z8h71rdhcw0hjrp.htm/, Retrieved Wed, 05 Nov 2025 09:25:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89839, Retrieved Wed, 05 Nov 2025 09:25:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact391

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] [Hypothesis Testing] [2010-10-22 12:19:22] [c7506ced21a6c0dca45d37c8a93c80e0]
F       [Testing Mean with unknown Variance - Critical Value] [question 2 worksh...] [2010-10-25 17:10:23] [6ff9fb24bdca608d2f4f1f9db3f6445e]
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-27 17:23:44] [5f45e5b827d1a020c3ecc9d930121b4e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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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' @ 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89839&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89839&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89839&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' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size35
Sample standard deviation0.50709255283711
Confidence0.95
Null hypothesis1
Sample Mean0.514285714285714
2-sided Confidence Interval[ 0.340093327772767 , 0.688478100798662 ]
Left-sided Confidence Interval[ 0.369349349555412 , +inf ]
Right-sided Confidence Interval[ -inf, 0.659222079016016 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 35 \tabularnewline
Sample standard deviation & 0.50709255283711 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 1 \tabularnewline
Sample Mean & 0.514285714285714 \tabularnewline
2-sided Confidence Interval & [ 0.340093327772767 , 0.688478100798662 ] \tabularnewline
Left-sided Confidence Interval & [ 0.369349349555412 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.659222079016016 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89839&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]35[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.50709255283711[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]1[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.514285714285714[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.340093327772767 , 0.688478100798662 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.369349349555412 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.659222079016016 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89839&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89839&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 size35
Sample standard deviation0.50709255283711
Confidence0.95
Null hypothesis1
Sample Mean0.514285714285714
2-sided Confidence Interval[ 0.340093327772767 , 0.688478100798662 ]
Left-sided Confidence Interval[ 0.369349349555412 , +inf ]
Right-sided Confidence Interval[ -inf, 0.659222079016016 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 1 ;
Parameters (R input):
par1 = 0.95 ; par2 = 1 ;
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')