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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Fri, 12 Nov 2010 13:52:26 +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/Nov/12/t1289569851b8q0lx9uk2frmp3.htm/, Retrieved Tue, 30 Apr 2024 08:24:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94135, Retrieved Tue, 30 Apr 2024 08:24:09 +0000

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No (this computation is public)

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Estimated Impact

129

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

F       [Testing Mean with unknown Variance - Critical Value] [] [2010-11-12 13:52:26] [8dce5e635076ef6250c8b346e2741700] [Current]

Feedback Forum

2010-11-17 17:46:19 [12a192eae07ecd250b0709fdef443649] [reply] 
Een zeer goede berekening. Je hebt zeer goed rekening gehouden met de sample size die voor jou hypothese (treatment T) van toepassing was. Bij het formuleren van de conclusie (waarom de nulhypothese verworpen wordt) zou je eventueel ook kunnen besluiten dat de sample standard deviation te groot is (immers 48%) of dat te nulhypothese verworpen wordt o.w.v. het feit dat de waarde '0' niet in het 2-sided confidence interval ligt.

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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

\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
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94135&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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94135&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94135&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

Hypothesis Test about the Mean - Confidence Interval
Sample size	37
Sample standard deviation	0.483977514182461
Confidence	0.95
Null hypothesis	0
Sample Mean	0.648648648648649
2-sided Confidence Interval	[ 0.487282511431591 , 0.810014785865706 ]
Left-sided Confidence Interval	[ 0.514318543403174 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.782978753894123 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 0.483977514182461 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.648648648648649 \tabularnewline
2-sided Confidence Interval & [ 0.487282511431591 , 0.810014785865706 ] \tabularnewline
Left-sided Confidence Interval & [ 0.514318543403174 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.782978753894123 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94135&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]37[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.483977514182461[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.648648648648649[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.487282511431591 , 0.810014785865706 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.514318543403174 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.782978753894123 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94135&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94135&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	37
Sample standard deviation	0.483977514182461
Confidence	0.95
Null hypothesis	0
Sample Mean	0.648648648648649
2-sided Confidence Interval	[ 0.487282511431591 , 0.810014785865706 ]
Left-sided Confidence Interval	[ 0.514318543403174 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.782978753894123 ]

Parameters (Session):

par1 = 0.95 ; par2 = 0 ;

Parameters (R input):

par1 = 0.95 ; par2 = 0 ;

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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