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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationTue, 25 Oct 2011 15:37:10 -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/25/t1319571449zlfnjrgx3h3x69k.htm/, Retrieved Thu, 06 Nov 2025 03:15:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=136151, Retrieved Thu, 06 Nov 2025 03:15:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact312

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] [] [2010-10-22 09:38:46] [8a9a6f7c332640af31ddca253a8ded58]
-       [Testing Mean with unknown Variance - Critical Value] [WS4: Vraag 2 A] [2010-10-25 18:49:21] [1fd136673b2a4fecb5c545b9b4a05d64]
-    D    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 09:49:35] [74be16979710d4c4e7c6647856088456]
- RM          [Testing Mean with unknown Variance - Critical Value] [WS4: vraag 3 groep S] [2011-10-25 19:37:10] [72fe11dce58fb9378ba9c20e1d437988] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3
1
1
5
0
-1
1
2
-1
2
0
4
4
-1
0
4
-1
4
2
2
0
0
4
1
0
0
4
4
0
0
2
1
0
2
2

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=136151&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=136151&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=136151&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size35
Sample standard deviation1.78791461078604
Confidence0.95
Null hypothesis0
Sample Mean1.45714285714286
2-sided Confidence Interval[ 0.842972699857528 , 2.07131301442819 ]
Left-sided Confidence Interval[ 0.946124025007177 , +inf ]
Right-sided Confidence Interval[ -inf, 1.96816168927854 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 35 \tabularnewline
Sample standard deviation & 1.78791461078604 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.45714285714286 \tabularnewline
2-sided Confidence Interval & [ 0.842972699857528 , 2.07131301442819 ] \tabularnewline
Left-sided Confidence Interval & [ 0.946124025007177 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.96816168927854 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=136151&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]1.78791461078604[/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]1.45714285714286[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.842972699857528 , 2.07131301442819 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.946124025007177 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.96816168927854 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=136151&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=136151&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 deviation1.78791461078604
Confidence0.95
Null hypothesis0
Sample Mean1.45714285714286
2-sided Confidence Interval[ 0.842972699857528 , 2.07131301442819 ]
Left-sided Confidence Interval[ 0.946124025007177 , +inf ]
Right-sided Confidence Interval[ -inf, 1.96816168927854 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')