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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 computationSun, 21 Nov 2010 17:17:26 +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/21/t1290359758ue4gzr6478brzex.htm/, Retrieved Tue, 10 Feb 2026 23:54:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=98388, Retrieved Tue, 10 Feb 2026 23:54:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact407

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
-   PD  [Percentiles] [QQ plot popularity] [2010-11-15 21:45:41] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D    [Percentiles] [QQ plot finding f...] [2010-11-15 21:46:51] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RM D      [Testing Mean with unknown Variance - Critical Value] [HT treatment F] [2010-11-21 16:51:19] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D        [Testing Mean with unknown Variance - Critical Value] [HT Treatment E] [2010-11-21 17:15:05] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D            [Testing Mean with unknown Variance - Critical Value] [HT Treatment H] [2010-11-21 17:17:26] [9ea95e194e0eb2a674315798620d5bc6] [Current]
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Dataset

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Histogram
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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=98388&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=98388&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=98388&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 size40
Sample standard deviation0.158113883008419
Confidence0.95
Null hypothesis0
Sample Mean0.025
2-sided Confidence Interval[ -0.025567273000919 , 0.075567273000919 ]
Left-sided Confidence Interval[ -0.0171218780427806 , +inf ]
Right-sided Confidence Interval[ -inf, 0.0671218780427806 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 40 \tabularnewline
Sample standard deviation & 0.158113883008419 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.025 \tabularnewline
2-sided Confidence Interval & [ -0.025567273000919 , 0.075567273000919 ] \tabularnewline
Left-sided Confidence Interval & [ -0.0171218780427806 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.0671218780427806 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=98388&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]40[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.158113883008419[/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]0.025[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.025567273000919 , 0.075567273000919 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.0171218780427806 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.0671218780427806 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=98388&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=98388&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 size40
Sample standard deviation0.158113883008419
Confidence0.95
Null hypothesis0
Sample Mean0.025
2-sided Confidence Interval[ -0.025567273000919 , 0.075567273000919 ]
Left-sided Confidence Interval[ -0.0171218780427806 , +inf ]
Right-sided Confidence Interval[ -inf, 0.0671218780427806 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 8 ; 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')