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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, 25 Oct 2010 18:49:21 +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/25/t1288032477m1v478bh2s5a7rk.htm/, Retrieved Thu, 06 Nov 2025 01:53:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88328, Retrieved Thu, 06 Nov 2025 01:53:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact491

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] [380f6bceef280be3d93cc6fafd18141e] [Current]
- R         [Testing Mean with unknown Variance - Critical Value] [] [2011-10-22 12:04:04] [1dc3906a3b5a6ec06dc921f387100c9e]
- R         [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:19:59] [8f7c6937e89a5f5716ed1e29130ab1fa]
-    D      [Testing Mean with unknown Variance - Critical Value] [WS4Q2.1] [2011-10-24 12:23:03] [85a41d310e9fcdbad32d999510017dfa]
- R           [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:24:03] [85a41d310e9fcdbad32d999510017dfa]
-               [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:24:35] [85a41d310e9fcdbad32d999510017dfa]
- R PD          [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:37:45] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:42:32] [85a41d310e9fcdbad32d999510017dfa]
-   P               [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:43:27] [85a41d310e9fcdbad32d999510017dfa]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 09:34:45] [74be16979710d4c4e7c6647856088456]
- R P         [Testing Mean with unknown Variance - Critical Value] [] [2011-12-20 13:21:00] [ad2d4c5ace9fa07b356a7b5098237581]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 09:44:14] [74be16979710d4c4e7c6647856088456]
- RM          [Testing Mean with unknown Variance - Critical Value] [WS 4] [2011-10-25 18:44:08] [8ce6c7315af51b5eb6923c5fe455d382]
- RM          [Testing Mean with unknown Variance - Critical Value] [WS4: vraag 3 groep E] [2011-10-25 19:35:47] [8ce6c7315af51b5eb6923c5fe455d382]
-    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] [8ce6c7315af51b5eb6923c5fe455d382]
-   PD      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 10:00:39] [74be16979710d4c4e7c6647856088456]
-             [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:10:48] [a9dc51245fb8ca00f931d89893d090c8]
- RM            [Testing Mean with unknown Variance - Critical Value] [WS4: vraag 6 (4)] [2011-10-25 19:38:26] [8ce6c7315af51b5eb6923c5fe455d382]
-   PD      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 10:08:22] [74be16979710d4c4e7c6647856088456]
-    D        [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:18:59] [a9dc51245fb8ca00f931d89893d090c8]
- RM            [Testing Mean with unknown Variance - Critical Value] [WS4: vraag 5] [2011-10-25 19:37:59] [8ce6c7315af51b5eb6923c5fe455d382]
- RM            [Testing Mean with unknown Variance - Critical Value] [WS4: vraag 6 (5)] [2011-10-25 19:39:02] [8ce6c7315af51b5eb6923c5fe455d382]
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Dataset

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

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=88328&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=88328&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88328&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 size37
Sample standard deviation1.69702088374889
Confidence0.95
Null hypothesis0
Sample Mean1.18918918918919
2-sided Confidence Interval[ 0.623374256134267 , 1.75500412224411 ]
Left-sided Confidence Interval[ 0.718173517515205 , +inf ]
Right-sided Confidence Interval[ -inf, 1.66020486086317 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 1.69702088374889 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.18918918918919 \tabularnewline
2-sided Confidence Interval & [ 0.623374256134267 , 1.75500412224411 ] \tabularnewline
Left-sided Confidence Interval & [ 0.718173517515205 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.66020486086317 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88328&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]37[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.69702088374889[/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]1.18918918918919[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.623374256134267 , 1.75500412224411 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.718173517515205 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.66020486086317 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88328&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88328&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 size37
Sample standard deviation1.69702088374889
Confidence0.95
Null hypothesis0
Sample Mean1.18918918918919
2-sided Confidence Interval[ 0.623374256134267 , 1.75500412224411 ]
Left-sided Confidence Interval[ 0.718173517515205 , +inf ]
Right-sided Confidence Interval[ -inf, 1.66020486086317 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; 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')