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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, 15 Dec 2014 14:29:56 +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/15/t14186538561yvof3tweuaf7dw.htm/, Retrieved Thu, 16 May 2024 15:15:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268499, Retrieved Thu, 16 May 2024 15:15:32 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact69
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 20:51:55] [b98453cac15ba1066b407e146608df68]
- RM D  [Testing Mean with unknown Variance - Critical Value] [] [2014-12-15 14:16:14] [272d52cebbec48285fb11674f7e19cee]
- R  D      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-15 14:29:56] [d22b5684547ea06d48f60665f2dd1986] [Current]
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Dataseries X:
11

16



19






24
25
22

21

27


22




20

21
8
22




23


19





24


25







13

20


22
15

19

22


16
20
21
20

18

16

24
13

20
22
19

15


22
20
21



11

22





22



19
25
21
22
21
22





24


23

20
18








22






21





22
17

20
19

24


13



22
23
19
18

21

17

21

26
19

21





11

19
20
17

21

23
22
22
21




22
20

19
16
19
23


23
15

21


20



22
22
23




18
21
20


16
18
23


20
24
25




23



27
19

16


16

23


20

4

22

23
20


20


21

19
27


20

21
23

16
20




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.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=268499&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]'Herman Ole Andreas Wold' @ wold.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=268499&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268499&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 time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 size120
Sample standard deviation3.70721153523059
Confidence0.95
Null hypothesis20
Sample Mean20.0666666666667
2-sided Confidence Interval[ 19.3965601499344 , 20.736773183399 ]
Left-sided Confidence Interval[ 19.5056468346765 , +inf ]
Right-sided Confidence Interval[ -inf, 20.6276864986569 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 120 \tabularnewline
Sample standard deviation & 3.70721153523059 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 20.0666666666667 \tabularnewline
2-sided Confidence Interval & [ 19.3965601499344 , 20.736773183399 ] \tabularnewline
Left-sided Confidence Interval & [ 19.5056468346765 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.6276864986569 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268499&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]120[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.70721153523059[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.0666666666667[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.3965601499344 , 20.736773183399 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.5056468346765 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.6276864986569 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268499&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268499&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 size120
Sample standard deviation3.70721153523059
Confidence0.95
Null hypothesis20
Sample Mean20.0666666666667
2-sided Confidence Interval[ 19.3965601499344 , 20.736773183399 ]
Left-sided Confidence Interval[ 19.5056468346765 , +inf ]
Right-sided Confidence Interval[ -inf, 20.6276864986569 ]



Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.95 ; par2 = 20 ;
R code (references can be found in the software module):
par2 <- '20'
par1 <- '0.95'
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')