## 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 14:53:14 +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/t1287759311799hcwbc1y4kpj7.htm/, Retrieved Thu, 18 Apr 2024 20:18:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87517, Retrieved Thu, 18 Apr 2024 20:18:12 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82
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 14:53:14] [1d094c42a82a95b45a19e32ad4bfff5f] [Current]
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Dataseries X:
26
20
19

20
25

22
26
22

19
24
26

13

0
22

21
7

17
25
25
19

23

22
21

18

22
18
23
20

15

21

18
19
22
16

18
20
24

24
18
21

17

22
16
21

24
24
16
16

18

20

24
17
19
20
15

22
23
16
19

19

21

24
22

18

24
24
22
23
22
20
18
25

16
20

15
19
19
16
17
28

25
20

16

23
21

23
18
20
9

25
20

21
22
27

18
16
22
20

20

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 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 & 1 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=87517&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]'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=87517&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87517&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 1 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 99 Sample standard deviation 4.12972491962489 Confidence 0.95 Null hypothesis 100 Sample Mean 20.0808080808081 2-sided Confidence Interval [ 19.2571489677946 , 20.9044671938216 ] Left-sided Confidence Interval [ 19.3915913645276 , +inf ] Right-sided Confidence Interval [ -inf, 20.7700247970886 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 99 \tabularnewline
Sample standard deviation & 4.12972491962489 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 20.0808080808081 \tabularnewline
2-sided Confidence Interval & [ 19.2571489677946 , 20.9044671938216 ] \tabularnewline
Left-sided Confidence Interval & [ 19.3915913645276 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.7700247970886 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87517&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]99[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.12972491962489[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.0808080808081[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.2571489677946 , 20.9044671938216 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.3915913645276 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.7700247970886 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87517&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87517&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 99 Sample standard deviation 4.12972491962489 Confidence 0.95 Null hypothesis 100 Sample Mean 20.0808080808081 2-sided Confidence Interval [ 19.2571489677946 , 20.9044671938216 ] Left-sided Confidence Interval [ 19.3915913645276 , +inf ] Right-sided Confidence Interval [ -inf, 20.7700247970886 ]

Parameters (Session):
par1 = 0.95 ; par2 = 100 ;
Parameters (R input):
par1 = 0.95 ; par2 = 100 ;
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')