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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, 26 Oct 2010 23:38:36 +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/27/t1288136275s4ahhpyytr3vv8f.htm/, Retrieved Mon, 22 Apr 2024 22:06:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89792, Retrieved Mon, 22 Apr 2024 22:06:43 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164
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] [Hypothesis Testing] [2010-10-22 12:35:15] [c7506ced21a6c0dca45d37c8a93c80e0]
-    D  [Testing Mean with unknown Variance - Critical Value] [task 6] [2010-10-26 10:29:24] [18a20458ff88c9ba38344d123a9464bc]
- R  D      [Testing Mean with unknown Variance - Critical Value] [Academic Motivati...] [2010-10-26 23:38:36] [694ff701b218c88f710fbbc10aa38a8e] [Current]
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Dataseries X:
19
25
17
22
21
26
20
14
23
20
22
15
20
22
20
28
25
26
17
23
13
24
14
22
23
22
24
21
23
22
21
26
15
25
17
25
27
25
19
26
20
20
18
18
19
23
17
23
23
11
18
24
16
24
24
21
25
22
21
24
24
21
18

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 0 seconds R Server 'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89792&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89792&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89792&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 Input view raw input (R code) Raw Output view raw output of R engine Computing time 0 seconds R Server 'George Udny Yule' @ 72.249.76.132

 Hypothesis Test about the Mean - Confidence Interval Sample size 63 Sample standard deviation 3.71225672258781 Confidence 0.98 Null hypothesis 20 Sample Mean 21.1587301587302 2-sided Confidence Interval [ 20.0418565993016 , 22.2756037181587 ] Left-sided Confidence Interval [ 20.1775598117852 , +inf ] Right-sided Confidence Interval [ -inf, 22.1399005056751 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.98 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.0418565993016 , 22.2756037181587 ] \tabularnewline
Left-sided Confidence Interval & [ 20.1775598117852 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  22.1399005056751 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89792&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.71225672258781[/C][/ROW]
[ROW][C]Confidence[/C][C]0.98[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.0418565993016 , 22.2756037181587 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.1775598117852 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  22.1399005056751 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89792&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89792&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 size 63 Sample standard deviation 3.71225672258781 Confidence 0.98 Null hypothesis 20 Sample Mean 21.1587301587302 2-sided Confidence Interval [ 20.0418565993016 , 22.2756037181587 ] Left-sided Confidence Interval [ 20.1775598117852 , +inf ] Right-sided Confidence Interval [ -inf, 22.1399005056751 ]

Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.98 ; par2 = 20 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)par2 <- as.numeric(par2)len <- length(x)df <- len - 1sd <- 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')