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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

Sun, 07 Dec 2014 21:35:35 +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/07/t1417988177bdrhfsqjfgzn5my.htm/, Retrieved Thu, 16 May 2024 09:22:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=263904, Retrieved Thu, 16 May 2024 09:22:55 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-10-29 19:01:11] [8f0f7d8870e334acea674e48ede2c797]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [paper] [2014-12-07 21:35:35] [984e7ebcf70ed344d92ecabf69fab39c] [Current]

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Dataseries X:

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Histogram

Boxplots

12,9
7,4
12,2
12,8
7,4
6,7
12,6
14,8
13,3
11,1
8,2
11,4
6,4
10,6
12,0
6,3
11,3
11,9
9,3
9,6
10,0
6,4
13,8
10,8
13,8
11,7
10,9
16,1
13,4
9,9
11,5
8,3
11,7
6,1
9,0
9,7
10,8
10,3
10,4
12,7
9,3
11,8
5,9
11,4
13,0
10,8
12,3
11,3
11,8
7,9
12,7
12,3
11,6
6,7
10,9
12,1
13,3
10,1
5,7
14,3
8,0
13,3
9,3
12,5
7,6
15,9
9,2
9,1
11,1
13,0
14,5
12,2
12,3
11,4
8,8
14,6
7,3
12,6
13,0
12,6
13,2
9,9
7,7
10,5
13,4
10,9
4,3
10,3
11,8
11,2
11,4
8,6
13,2
12,6
5,6
9,9
8,8
7,7
9,0
7,3
11,4
13,6
7,9
10,7
10,3
8,3
9,6
14,2
8,5
13,5
4,9
6,4
9,6
11,6
11,1

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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263904&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263904&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263904&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	'Gertrude Mary Cox' @ cox.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	115
Sample standard deviation	2.51343666011173
Confidence	0.95
Null hypothesis	10
Sample Mean	10.5904347826087
2-sided Confidence Interval	[ 10.1261314380149 , 11.0547381272025 ]
Left-sided Confidence Interval	[ 10.2017567691378 , +inf ]
Right-sided Confidence Interval	[ -inf, 10.9791127960795 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 115 \tabularnewline
Sample standard deviation & 2.51343666011173 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 10 \tabularnewline
Sample Mean & 10.5904347826087 \tabularnewline
2-sided Confidence Interval & [ 10.1261314380149 , 11.0547381272025 ] \tabularnewline
Left-sided Confidence Interval & [ 10.2017567691378 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  10.9791127960795 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263904&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]115[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]2.51343666011173[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]10[/C][/ROW]
[ROW][C]Sample Mean[/C][C]10.5904347826087[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 10.1261314380149 , 11.0547381272025 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 10.2017567691378 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  10.9791127960795 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263904&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263904&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	115
Sample standard deviation	2.51343666011173
Confidence	0.95
Null hypothesis	10
Sample Mean	10.5904347826087
2-sided Confidence Interval	[ 10.1261314380149 , 11.0547381272025 ]
Left-sided Confidence Interval	[ 10.2017567691378 , +inf ]
Right-sided Confidence Interval	[ -inf, 10.9791127960795 ]

Parameters (Session):

par1 = 0.95 ; par2 = 10 ;

Parameters (R input):

par1 = 0.95 ; par2 = 10 ;

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

par2 <- '10'
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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