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Author

*Unverified author*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Mon, 12 Nov 2007 04:34:50 -0700

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/2007/Nov/12/t11948677494il33haoynyxlu9.htm/, Retrieved Mon, 29 Apr 2024 06:35:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5239, Retrieved Mon, 29 Apr 2024 06:35:42 +0000

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No (this computation is public)

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Estimated Impact

204

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] [Stat Opdr2.2 Q2 - y1] [2007-11-12 11:34:50] [67794d83edd3193bd9ea9816803ddb96] [Current]

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Summary of compuational 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

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5239&T=0

[TABLE]
[ROW][C]Summary of compuational 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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5239&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5239&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 compuational 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

Hypothesis Test about the Mean - Confidence Interval
Sample size	12
Sample standard deviation	10.9045722965047
Confidence	0.05
Null hypothesis	100
Sample Mean	93.6666666666667
2-sided Confidence Interval	[ 93.4647232690672 , 93.8686100642662 ]
Left-sided Confidence Interval	[ 88.0134387832304 , +inf ]
Right-sided Confidence Interval	[ -inf, 99.319894550103 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 12 \tabularnewline
Sample standard deviation & 10.9045722965047 \tabularnewline
Confidence & 0.05 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 93.6666666666667 \tabularnewline
2-sided Confidence Interval & [ 93.4647232690672 , 93.8686100642662 ] \tabularnewline
Left-sided Confidence Interval & [ 88.0134387832304 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  99.319894550103 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5239&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]12[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]10.9045722965047[/C][/ROW]
[ROW][C]Confidence[/C][C]0.05[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]93.6666666666667[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 93.4647232690672 , 93.8686100642662 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 88.0134387832304 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  99.319894550103 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5239&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5239&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	12
Sample standard deviation	10.9045722965047
Confidence	0.05
Null hypothesis	100
Sample Mean	93.6666666666667
2-sided Confidence Interval	[ 93.4647232690672 , 93.8686100642662 ]
Left-sided Confidence Interval	[ 88.0134387832304 , +inf ]
Right-sided Confidence Interval	[ -inf, 99.319894550103 ]

Parameters (Session):

Parameters (R input):

par1 = 0.05 ; 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 - 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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