## 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 computationFri, 22 Oct 2010 09:32:10 +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/22/t1287739845zmvd3el84wkwrso.htm/, Retrieved Sat, 14 Sep 2024 13:44:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87351, Retrieved Sat, 14 Sep 2024 13:44:16 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
-   PD      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-22 09:32:10] [9003764b6a75599accb6eea9154ba195] [Current]
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Dataseries X:
23
20
20

24
22

20
25
23

22
24
25

28

25

28
21

27
14
14
27

21

21
12

28

22
27
26
22

24

22

21
23
28
10

21
21
24

25
23
21

17

25
23
28

19
26
18
18

21

22

27
22
28
26
10

22
21
24
25

20

23

24
24

20

20
27
23
26
23
17
21
25

27
24

27
21
24
21
15
25

22
24

23

23
22

22
24
24
25

26
21

26
28
18

20
25
22
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 'George Udny Yule' @ 72.249.76.132 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 & 'George Udny Yule' @ 72.249.76.132 \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=87351&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]'George Udny Yule' @ 72.249.76.132[/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=87351&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87351&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 'George Udny Yule' @ 72.249.76.132 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 98 Sample standard deviation 3.76426384647942 Confidence 0.95 Null hypothesis 20 Sample Mean 22.5204081632653 2-sided Confidence Interval [ 21.7657210017262 , 23.2750953248044 ] Left-sided Confidence Interval [ 21.8889246374658 , +inf ] Right-sided Confidence Interval [ -inf, 23.1518916890649 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 3.76426384647942 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 22.5204081632653 \tabularnewline
2-sided Confidence Interval & [ 21.7657210017262 , 23.2750953248044 ] \tabularnewline
Left-sided Confidence Interval & [ 21.8889246374658 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  23.1518916890649 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87351&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.76426384647942[/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]22.5204081632653[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 21.7657210017262 , 23.2750953248044 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 21.8889246374658 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  23.1518916890649 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87351&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87351&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 98 Sample standard deviation 3.76426384647942 Confidence 0.95 Null hypothesis 20 Sample Mean 22.5204081632653 2-sided Confidence Interval [ 21.7657210017262 , 23.2750953248044 ] Left-sided Confidence Interval [ 21.8889246374658 , +inf ] Right-sided Confidence Interval [ -inf, 23.1518916890649 ]

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):
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')