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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Tue, 26 Oct 2010 18:08:33 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/26/t1288116432w343wa772ssybak.htm/, Retrieved Sat, 27 Apr 2024 21:44:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89497, Retrieved Sat, 27 Apr 2024 21:44:11 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

116

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]
F   PD    [Testing Mean with unknown Variance - Critical Value] [] [2010-10-25 20:44:19] [2db311435ed525bc1ed0ddec922afb8f]
F    D        [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:08:33] [828f245e7d618edb6aea40fa5a537aa9] [Current]

Feedback Forum

2010-11-02 15:28:54 [f0479c8ad85b1406c7a3120008048c58] [reply] 
Het heeft alleen zin om deze kwestie op te lossen voor een linkszijdige betrouwbaarheidsinterval, omdat het steekproefgemiddelde groter is dan 20 (voor mannen en vrouwen). Er is geen noodzaak om nieuwe berekeningen te genereren (het resultaat is 
reeds opgenomen in de output van de laatste twee berekeningen). 
 
Mannen 
De linker-zijdige 95% betrouwbaarheidsinterval is [19,6801369145128, + inf]. Dit interval bevat de null waarde. Daarom accepteren we de nulhypothese. 
 
Vrouwtjes 
De linker-zijdige 95% betrouwbaarheidsinterval is [20,3777621085879, + inf]. Dit interval bevat geen nulwaarde. Daarom verwerpen wij de nulhypothese. 
 
Het heeft alleen zin om deze kwestie op te lossen voor een linkszijdige betrouwbaarheidsinterval, omdat het steekproefgemiddelde groter is dan 20 (voor mannen en vrouwen). Er is geen noodzaak om nieuwe berekeningen te genereren (het resultaat is 
reeds opgenomen in de output van de laatste twee berekeningen). 
 
Mannen 
De linker-zijdige 95% betrouwbaarheidsinterval is [19,6801369145128, + inf]. Dit interval bevat de null waarde. Daarom accepteren we de nulhypothese. 
 
Vrouwtjes 
De linker-zijdige 95% betrouwbaarheidsinterval is [20,3777621085879, + inf]. Dit interval bevat geen nulwaarde. Daarom verwerpen wij de nulhypothese. 

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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	'RServer@AstonUniversity' @ vre.aston.ac.uk
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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \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=89497&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/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=89497&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89497&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	'RServer@AstonUniversity' @ vre.aston.ac.uk
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=89497&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=89497&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89497&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 ;

R code (references can be found in the software module):

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')

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