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Author

*The author of this computation has been verified*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Fri, 12 Dec 2014 09:30:15 +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/2014/Dec/12/t1418376622s5m7mx1tzb2fww4.htm/, Retrieved Thu, 16 May 2024 08:14:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266448, Retrieved Thu, 16 May 2024 08:14:21 +0000

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No (this computation is public)

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Estimated Impact

147

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] [] [2014-12-12 09:30:15] [c627838e8e29a957751cabcf62378089] [Current]

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Dataseries X:

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Boxplots

2011	S	0	12.9
2011	S	0	7.4
2011	S	0	12.2
2011	S	0	12.8
2011	S	0	7.4
2011	S	0	6.7
2011	S	0	12.6
2011	S	0	14.8
2011	S	0	13.3
2011	S	0	11.1
2011	S	0	8.2
2011	S	0	11.4
2011	S	0	6.4
2011	S	0	10.6
2011	S	0	12.0
2011	S	0	6.3
2011	B	1	11.3
2011	S	0	11.9
2011	S	0	9.3
2011	B	1	9.6
2011	S	0	10.0
2011	S	0	6.4
2011	S	0	13.8
2011	S	0	10.8
2011	S	0	13.8
2011	S	0	11.7
2011	S	0	10.9
2011	B	1	16.1
2011	B	1	13.4
2011	S	0	9.9
2011	S	0	11.5
2011	S	0	8.3
2011	S	0	11.7
2011	S	0	6.1
2011	S	0	9.0
2011	S	0	9.7
2011	S	0	10.8
2011	S	0	10.3
2011	S	0	10.4
2011	B	1	12.7
2011	S	0	9.3
2011	S	0	11.8
2011	S	0	5.9
2011	S	0	11.4
2011	S	0	13.0
2011	S	0	10.8
2011	B	1	12.3
2011	S	0	11.3
2011	S	0	11.8
2011	B	1	7.9
2011	S	0	12.7
2011	B	1	12.3
2011	B	1	11.6
2011	B	1	6.7
2011	S	0	10.9
2011	B	1	12.1
2011	S	0	13.3
2011	S	0	10.1
2011	B	1	5.7
2011	S	0	14.3
2011	B	1	8.0
2011	B	1	13.3
2011	S	0	9.3
2011	S	0	12.5
2011	S	0	7.6
2011	S	0	15.9
2011	S	0	9.2
2011	B	1	9.1
2011	S	0	11.1
2011	S	0	13.0
2011	S	0	14.5
2011	B	1	12.2
2011	S	0	12.3
2011	S	0	11.4
2011	B	1	8.8
2011	B	1	14.6
2011	S	0	7.3
2011	S	0	12.6
2011	S	0	NA
2011	S	0	13.0
2011	B	1	12.6
2011	S	0	13.2
2011	B	1	9.9
2011	S	0	7.7
2011	B	1	10.5
2011	B	1	13.4
2011	B	1	10.9
2011	B	1	4.3
2011	B	1	10.3
2011	B	1	11.8
2011	B	1	11.2
2011	B	1	11.4
2011	B	1	8.6
2011	B	1	13.2
2011	B	1	12.6
2011	B	1	5.6
2011	B	1	9.9
2011	B	1	8.8
2011	B	1	7.7
2011	B	1	9.0
2011	B	1	7.3
2011	B	1	11.4
2011	B	1	13.6
2011	B	1	7.9
2011	B	1	10.7
2011	B	1	10.3
2011	B	1	8.3
2011	B	1	9.6
2011	B	1	14.2
2011	B	1	8.5
2011	B	1	13.5
2011	B	1	4.9
2011	B	1	6.4
2011	B	1	9.6
2011	B	1	11.6
2011	B	1	11.1
2012	S	0	4.35
2012	S	0	12.7
2012	S	0	18.1
2012	S	0	17.85
2012	B	1	16.6
2012	B	1	12.6
2012	S	0	17.1
2012	S	0	19.1
2012	S	0	16.1
2012	S	0	13.35
2012	S	0	18.4
2012	S	0	14.7
2012	S	0	10.6
2012	S	0	12.6
2012	S	0	16.2
2012	S	0	13.6
2012	B	1	18.9
2012	S	0	14.1
2012	S	0	14.5
2012	S	0	16.15
2012	S	0	14.75
2012	S	0	14.8
2012	S	0	12.45
2012	S	0	12.65
2012	S	0	17.35
2012	S	0	8.6
2012	S	0	18.4
2012	S	0	16.1
2012	B	1	11.6
2012	S	0	17.75
2012	S	0	15.25
2012	S	0	17.65
2012	S	0	15.6
2012	S	0	16.35
2012	S	0	17.65
2012	S	0	13.6
2012	S	0	11.7
2012	S	0	14.35
2012	S	0	14.75
2012	S	0	18.25
2012	S	0	9.9
2012	S	0	16
2012	S	0	18.25
2012	S	0	16.85
2012	B	1	14.6
2012	B	1	13.85
2012	S	0	18.95
2012	S	0	15.6
2012	B	1	14.85
2012	B	1	11.75
2012	B	1	18.45
2012	B	1	15.9
2012	S	0	17.1
2012	S	0	16.1
2012	B	1	19.9
2012	B	1	10.95
2012	B	1	18.45
2012	B	1	15.1
2012	B	1	15
2012	B	1	11.35
2012	B	1	15.95
2012	B	1	18.1
2012	B	1	14.6
2012	S	0	15.4
2012	S	0	15.4
2012	B	1	17.6
2012	S	0	13.35
2012	S	0	19.1
2012	B	1	15.35
2012	S	0	7.6
2012	B	1	13.4
2012	B	1	13.9
2012	S	0	19.1
2012	B	1	15.25
2012	B	1	12.9
2012	B	1	16.1
2012	B	1	17.35
2012	B	1	13.15
2012	B	1	12.15
2012	B	1	12.6
2012	B	1	10.35
2012	B	1	15.4
2012	B	1	9.6
2012	B	1	18.2
2012	B	1	13.6
2012	B	1	14.85
2012	S	0	14.75
2012	B	1	14.1
2012	B	1	14.9
2012	B	1	16.25
2012	S	0	19.25
2012	B	1	13.6
2012	S	0	13.6
2012	B	1	15.65
2012	S	0	12.75
2012	B	1	14.6
2012	S	0	9.85
2012	B	1	12.65
2012	B	1	11.9
2012	B	1	19.2
2012	B	1	16.6
2012	B	1	11.2
2012	S	0	15.25
2012	S	0	11.9
2012	B	1	13.2
2012	S	0	16.35
2012	S	0	12.4
2012	B	1	15.85
2012	S	0	14.35
2012	S	0	18.15
2012	B	1	11.15
2012	B	1	15.65
2012	S	0	17.75
2012	B	1	7.65
2012	S	0	12.35
2012	S	0	15.6
2012	S	0	19.3
2012	B	1	15.2
2012	S	0	17.1
2012	B	1	15.6
2012	S	0	18.4
2012	S	0	19.05
2012	S	0	18.55
2012	S	0	19.1
2012	B	1	13.1
2012	S	0	12.85
2012	S	0	9.5
2012	S	0	4.5
2012	B	1	11.85
2012	S	0	13.6
2012	S	0	11.7
2012	B	1	12.4
2012	S	0	13.35
2012	B	1	11.4
2012	B	1	14.9
2012	B	1	19.9
2012	S	0	17.75
2012	B	1	11.2
2012	B	1	14.6
2012	S	0	17.6
2012	S	0	14.05
2012	S	0	16.1
2012	S	0	13.35
2012	S	0	11.85
2012	S	0	11.95
2012	B	1	14.75
2012	B	1	15.15
2012	S	0	13.2
2012	B	1	16.85
2012	B	1	7.85
2012	S	0	7.7
2012	B	1	12.6
2012	B	1	7.85
2012	B	1	10.95
2012	B	1	12.35
2012	B	1	9.95
2012	B	1	14.9
2012	B	1	16.65
2012	B	1	13.4
2012	B	1	13.95
2012	B	1	15.7
2012	B	1	16.85
2012	B	1	10.95
2012	B	1	15.35
2012	B	1	12.2
2012	B	1	15.1
2012	B	1	17.75
2012	B	1	15.2
2012	S	0	14.6
2012	B	1	16.65
2012	B	1	8.1

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' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266448&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266448&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266448&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' @ jenkins.wessa.net

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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Figures (Output of Computation)

Input Parameters & R Code