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Author's title

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, 26 Nov 2010 07:22:22 +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/2010/Nov/26/t1290756097iv2vv049juu4j22.htm/, Retrieved Fri, 03 May 2024 21:09:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101664, Retrieved Fri, 03 May 2024 21:09:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

gemiddelde

Estimated Impact

181

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] [rural population ...] [2010-11-26 07:22:22] [ea05999e24dc6223e14cc730e7a15b1e] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

683925	
676450,8	
669226,8	
662806,2	
657563,4	
651912	
642740,8	
632673,4	
621432	
609464,2	
597556	
586183,8	
574772,8	
562856,4
550915,2	
538725	
521945,2	
504850,8	
487568	
470208,6	
452962	
443340	
433664	
423808	
413826	
404178	
394480	
384930	
376276	
367706	
358826,4	
352158,4	
345548	
338839,2	
331791,68	
324377,6	
318929,8	
313574,8	
308130,6	
302689,6	
297308	
294208,2	
291390,6
288455,028
285538,7047	
282923,55
282685,2744	
282643,62
282702,6312
282745,4264

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101664&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]2 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=101664&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101664&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Hypothesis Test about the Mean - Confidence Interval
Sample size	50
Sample standard deviation	138593.297680095
Confidence	0.95
Null hypothesis	0
Sample Mean	443288.270294
2-sided Confidence Interval	[ 403900.490900533 , 482676.049687467 ]
Left-sided Confidence Interval	[ 410427.785411311 , +inf ]
Right-sided Confidence Interval	[ -inf, 476148.755176689 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 50 \tabularnewline
Sample standard deviation & 138593.297680095 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 443288.270294 \tabularnewline
2-sided Confidence Interval & [ 403900.490900533 , 482676.049687467 ] \tabularnewline
Left-sided Confidence Interval & [ 410427.785411311 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  476148.755176689 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101664&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]50[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]138593.297680095[/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]443288.270294[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 403900.490900533 , 482676.049687467 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 410427.785411311 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  476148.755176689 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101664&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101664&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	50
Sample standard deviation	138593.297680095
Confidence	0.95
Null hypothesis	0
Sample Mean	443288.270294
2-sided Confidence Interval	[ 403900.490900533 , 482676.049687467 ]
Left-sided Confidence Interval	[ 410427.785411311 , +inf ]
Right-sided Confidence Interval	[ -inf, 476148.755176689 ]

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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