## Free Statistics

of Irreproducible Research!

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 20:33:09 +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/26/t12881250995w8ka1sjxo8t00q.htm/, Retrieved Mon, 22 Apr 2024 21:37:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89652, Retrieved Mon, 22 Apr 2024 21:37:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137
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]
-           [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 20:33:09] [bf31c653579be30902191cbab2e4e3a3] [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 2 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \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=89652&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/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=89652&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89652&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 2 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 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 size 63 Sample standard deviation 3.71225672258781 Confidence 0.95 Null hypothesis 20 Sample Mean 21.1587301587302 2-sided Confidence Interval [ 20.223810410058 , 22.0936499074023 ] Left-sided Confidence Interval [ 20.3777621085879 , +inf ] Right-sided Confidence Interval [ -inf, 21.9396982088724 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.223810410058 , 22.0936499074023 ] \tabularnewline
Left-sided Confidence Interval & [ 20.3777621085879 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.9396982088724 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89652&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]0.95[/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][ 20.223810410058 , 22.0936499074023 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.3777621085879 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.9396982088724 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89652&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89652&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 0.95 Null hypothesis 20 Sample Mean 21.1587301587302 2-sided Confidence Interval [ 20.223810410058 , 22.0936499074023 ] Left-sided Confidence Interval [ 20.3777621085879 , +inf ] Right-sided Confidence Interval [ -inf, 21.9396982088724 ]

Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.95 ; par2 = 20 ; 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 - 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')