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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

Mon, 08 Oct 2012 03:40:36 -0400

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/2012/Oct/08/t134968205762kp8082g27bs0e.htm/, Retrieved Thu, 02 May 2024 10:18:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=173221, Retrieved Thu, 02 May 2024 10:18:43 +0000

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Original text written by user:

IsPrivate?

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)

-     [Testing Mean with unknown Variance - Critical Value] [Treatment T] [2012-10-08 07:35:11] [8cc09667e588c76c8c3bfb3e2ed3290a]
-    D    [Testing Mean with unknown Variance - Critical Value] [Treatment E] [2012-10-08 07:40:36] [b262fb17dc370e47870f909f9ce3690a] [Current]

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Dataseries X:

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Histogram

Boxplots

	20		15		14		25		16		23		4		109
	28		28		24		28		28		27		4		159
22		25		15		26		23		22		4		129	
18		19		15		26		21		27		7		119	
23		20		10		23		21		26		4		119	
20		24		14		22		26		22		6		122	
	25		26		18		24		22		21		5		131
	26		25		12		21		21		19		4		120
15		12		9		20		18		24		16		82	
	17		12		9		22		12		19		5		86
	23		15		8		20		25		26		12		105
21		17		18		25		17		22		6		114	
	13		14		10		20		24		28		9		100
18		16		17		22		15		21		9		100	
19		11		14		23		13		23		4		99	
22		20		16		25		26		28		5		132	
16		11		10		23		16		10		4		82	
	24		22		19		23		24		24		4		132
18		20		10		22		21		21		5		107	
20		19		14		24		20		21		4		114	
24		17		10		25		14		24		4		110	
	14		21		4		21		25		24		4		105
	22		23		19		12		25		25		5		121
24		18		9		17		20		25		4		109	
18		17		12		20		22		23		6		106	
21		27		16		23		20		21		4		124	
	23		25		11		23		26		16		4		120
17		19		18		20		18		17		18		91	
	22		22		11		28		22		25		4		126
	24		24		24		24		24		24		6		138
	21		20		17		24		17		23		4		118
22		19		18		24		24		25		4		128	
16		11		9		24		20		23		5		98

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=173221&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=173221&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173221&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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