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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 computationMon, 24 Oct 2011 17:18:24 -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/2011/Oct/24/t1319491116xy4ykrldxku1bcb.htm/, Retrieved Thu, 06 Nov 2025 01:46:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=134985, Retrieved Thu, 06 Nov 2025 01:46:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact296

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [One Sample Tests about the Mean] [] [2010-10-25 21:41:42] [b98453cac15ba1066b407e146608df68]
- R  D  [One Sample Tests about the Mean] [] [2011-10-24 18:45:46] [46896e8a404bb9354f2d070359621409]
-    D    [One Sample Tests about the Mean] [Taak 7] [2011-10-24 19:12:15] [74be16979710d4c4e7c6647856088456]
- RMPD      [Testing Mean with known Variance - Sample Size] [Taak 9] [2011-10-24 20:21:06] [088a244c534fec2347300624359db3c1]
- RM D          [Testing Mean with unknown Variance - Critical Value] [Taak 2] [2011-10-24 21:18:24] [84449ea5bbe6e767918d59f07903f9b5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1
1
1
1
0
-1
0
0
-1
0
0
0
0
-1
0
0
-1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=134985&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=134985&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134985&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 time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size35
Sample standard deviation0.539218232741632
Confidence0.95
Null hypothesis0
Sample Mean0.0571428571428571
2-sided Confidence Interval[ -0.128085086527478 , 0.242370800813192 ]
Left-sided Confidence Interval[ -0.0969756169160081 , +inf ]
Right-sided Confidence Interval[ -inf, 0.211261331201722 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 35 \tabularnewline
Sample standard deviation & 0.539218232741632 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.0571428571428571 \tabularnewline
2-sided Confidence Interval & [ -0.128085086527478 , 0.242370800813192 ] \tabularnewline
Left-sided Confidence Interval & [ -0.0969756169160081 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.211261331201722 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=134985&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]0.539218232741632[/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]0.0571428571428571[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.128085086527478 , 0.242370800813192 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.0969756169160081 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.211261331201722 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=134985&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134985&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 deviation0.539218232741632
Confidence0.95
Null hypothesis0
Sample Mean0.0571428571428571
2-sided Confidence Interval[ -0.128085086527478 , 0.242370800813192 ]
Left-sided Confidence Interval[ -0.0969756169160081 , +inf ]
Right-sided Confidence Interval[ -inf, 0.211261331201722 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 13 ; par2 = 20 ; par3 = 21 ; par4 = 0.05 ; par5 = 0.05 ;
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')