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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 computationTue, 16 Dec 2014 09:48:57 +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/2014/Dec/16/t1418723382oafjqrdxd7br4q3.htm/, Retrieved Thu, 16 May 2024 23:46:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269229, Retrieved Thu, 16 May 2024 23:46:33 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136
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] [] [2010-10-25 13:12:27] [b98453cac15ba1066b407e146608df68]
- RMP   [Testing Mean with unknown Variance - Critical Value] [] [2014-10-07 07:47:40] [32b17a345b130fdf5cc88718ed94a974]
-    D      [Testing Mean with unknown Variance - Critical Value] [vertrouwen id sof...] [2014-12-16 09:48:57] [ccc8d5d8fda28a28a4ef088d048ade85] [Current]
-    D        [Testing Mean with unknown Variance - Critical Value] [vertrouwen id sof...] [2014-12-16 10:09:19] [9378e2688aa9dcfd1390615d31e9d404]
-    D          [Testing Mean with unknown Variance - Critical Value] [2 soft] [2014-12-16 10:44:36] [9378e2688aa9dcfd1390615d31e9d404]
-   P             [Testing Mean with unknown Variance - Critical Value] [meer als helft so...] [2014-12-17 09:49:46] [9378e2688aa9dcfd1390615d31e9d404]
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Dataseries X:
12
8
11
13
11
10
7
10
15
12
12
10
10
14
6
12
14
11
8
12
15
13
11
12
7
11
7
12
12
13
9
11
12
15
12
6
5
13
11
6
12
10
6
12
11
6
12
12
8
10
11
7
12
13
14
12
6
14
10
12
11
10
7
12
7
12
12
10
10
12
12
12
8
10
5
10
12
11
9
12
11
10
12
10
9
11
12
7
11
12
6
9
15
10
11
12
12
12
11
9
11
12
12
14
8
10
9
10
9
10
12
11
9
11
12
12
7
12
12
12
10
15
10
15
10
15
9
15
12
13
12
12
8
9
15
12
12
15
11
12
6
14
12
12
12
11
12
12
12
12
8
8
12
12
11
10
11
12
13
12
12
10
10
11
8
12
9
12
9
11
15
8
8
11
11
11
13
7
12
8
8
4
11
10
7
12
11
9
10
8
8
11
12
10
10
12
8
11
8
10
14
9
9
10
13
12
13
8
3
8
12
11
9
12
12
12
10
13
9
12
11
14
11
9
12
8
15
12
14
12
9
9
13
13
15
11
7
10
11
14
14
13
12
8
13
9
12
13
11
11
13
12
12
10
9
10
13
13
9
11
12
8
12
12
12
9
12
12
11
12
6
7
10
12
10
12
9
3


































































































































































































































































































































































































































































Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=269229&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=269229&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269229&T=0

As an alternative you can also use a 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'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Hypothesis Test about the Mean - Confidence Interval
Sample size278
Sample standard deviation2.28742640526747
Confidence0.95
Null hypothesis0
Sample Mean10.7410071942446
2-sided Confidence Interval[ 10.4709383401292 , 11.01107604836 ]
Left-sided Confidence Interval[ 10.5145913145938 , +inf ]
Right-sided Confidence Interval[ -inf, 10.9674230738954 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 278 \tabularnewline
Sample standard deviation & 2.28742640526747 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 10.7410071942446 \tabularnewline
2-sided Confidence Interval & [ 10.4709383401292 , 11.01107604836 ] \tabularnewline
Left-sided Confidence Interval & [ 10.5145913145938 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  10.9674230738954 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269229&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]278[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]2.28742640526747[/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]10.7410071942446[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 10.4709383401292 , 11.01107604836 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 10.5145913145938 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  10.9674230738954 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269229&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269229&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size278
Sample standard deviation2.28742640526747
Confidence0.95
Null hypothesis0
Sample Mean10.7410071942446
2-sided Confidence Interval[ 10.4709383401292 , 11.01107604836 ]
Left-sided Confidence Interval[ 10.5145913145938 , +inf ]
Right-sided Confidence Interval[ -inf, 10.9674230738954 ]



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')