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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

Tue, 16 Dec 2014 20:49:28 +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/16/t1418763125yjnvhsoj0khhkvi.htm/, Retrieved Thu, 16 May 2024 11:17:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269944, Retrieved Thu, 16 May 2024 11:17:50 +0000

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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] [mean unknown vari...] [2014-12-16 20:49:28] [a0dc8dfb1ad11084a66a61bab0a3c2c7] [Current]

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Dataseries X:

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Histogram

Boxplots

3,9
1,7
1,8
-4,1
-3,8
-0,9
4,3
1,3
-3,4
-2,8
0,9
-4,6
-0,4
-1,5
-3,2
1,3
-0,6
-1,7
-1,9
0,5
-4,1
-3,7
0,3
2,3
0,2
-0,1
-1,4
3,9
0,4
2
-1,2
1,2
-1,9
-1
-6,3
-0,7
-2,2
1,4
0,7
-4,7
0,3
-4,1
-1,1
1,5
1,8
2,8
-1,7
1,8
-5,1
4,7
1,3
1,1
-2,3
1,9
2,6
1,3
0,6
-4,3
3,8
-0,5
3,8
-1,2
0,5
-1,4
4,4
-1,3
-0,9
-2,9
3
1
1,7
-2,2
1,4
-0,2
1,6
-5,2
2,1
1,5
1,6
3,2
-1,1
-2,8
0
3,9
0,9
-4,2
-0,7
0,8
-0,3
-0,6
-1,9
3,7
4,1
-3,4
2,4
-0,7
-1,8
0,5
-2,2
1,9
4,6
-4,1
1,7
0,8
-0,7
-0,9
4,7
-2,5
3,5
-3,6
-2,1
0,6
2,1
2,1
-0,65
7,7
-1,9
-2,15
1,6
2,6
-2,9
-0,9
-3,9
3,35
-1,6
9,7
-4,4
-2,4
-3,8
-1,4
-1,1
-0,9
-0,5
-3,85
-0,25
-0,2
2,45
2,65
2,35
3,6
-1,6
1,1
1,6
-2,25
-4,75
-2,35
-4,4
-3,65
-2,35
-1,4
-8,3
-0,65
-5,25
-1,75
-10,1
1
-1,75
-3,15
4,6
3,85
-1,05
0,6
-0,15
1,75
3,45
5,9
-2,9
11,1
-0,1
5,95
-1,55
0,1
0
1,35
0,95
3,1
-5,4
-4,6
-4,6
2,6
-1,65
-0,9
-4,65
2,6
3,4
-1,1
-0,9
0,25
-7,1
1,1
2,35
-1,85
-2,85
7,6
5,35
0,4
-0,4
3,2
3,6
4,85
-5,25
4,1
4,9
1,25
-0,75
3,6
-6,4
0,65
-7,25
4,6
4,85
7,65
6,9
-0,8
1,6
6,2
-4,75
-3,1
3,2
-3,65
-2,6
0,85
-5,65
-1,85
6,15
0,65
-2,25
2,65
-2,65
-4,4
-0,7
10,2
-2,9
5,6
3,4
-0,95
-1,45
-0,9
3,1
-7,15
-0,5
-0,5
6,85
-6,4
1,7
2,4
-1,65
1,4
-0,1
-0,1
-2,25
1,2
-0,4
-2,4
-0,95
-3,9
-6,65
-8,15
1,95
4,75
5,15
-6,8
1,85
-2,15
-2,3
-2,4
-7,15
5,95
2,35
-0,05
-0,1
1,65
3,4
3,95
0,7
1,85
5,95
0,35
2,2
5,1
2,75
0,2
-0,4
1,65
3,1

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 0 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269944&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269944&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269944&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	0 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	285
Sample standard deviation	3.39425733066679
Confidence	0.95
Null hypothesis	0
Sample Mean	0.0517543859649123
2-sided Confidence Interval	[ -0.343999452111999 , 0.447508224041824 ]
Left-sided Confidence Interval	[ -0.280039642918533 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.383548414848358 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 285 \tabularnewline
Sample standard deviation & 3.39425733066679 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.0517543859649123 \tabularnewline
2-sided Confidence Interval & [ -0.343999452111999 , 0.447508224041824 ] \tabularnewline
Left-sided Confidence Interval & [ -0.280039642918533 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.383548414848358 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269944&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]285[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.39425733066679[/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]0.0517543859649123[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.343999452111999 , 0.447508224041824 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.280039642918533 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.383548414848358 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269944&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269944&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	285
Sample standard deviation	3.39425733066679
Confidence	0.95
Null hypothesis	0
Sample Mean	0.0517543859649123
2-sided Confidence Interval	[ -0.343999452111999 , 0.447508224041824 ]
Left-sided Confidence Interval	[ -0.280039642918533 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.383548414848358 ]

Parameters (Session):

par1 = 200 ; par2 = 5 ; par3 = 0 ; par4 = P1 P5 Q1 Q3 P95 P99 ;

Parameters (R input):

par1 = 0.95 ; par2 = 0 ;

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

par2 <- '0'
par1 <- '0.95'
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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Input Parameters & R Code