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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

Sat, 13 Dec 2014 09:36:34 +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/13/t1418463428t144mfer463mrf5.htm/, Retrieved Thu, 16 May 2024 09:36:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266921, Retrieved Thu, 16 May 2024 09:36:00 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

135

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] [PAPER KUL intrins...] [2014-12-13 09:10:39] [bb1b6762b7e5624d262776d3f7139d34]
-    D  [Testing Mean with unknown Variance - Critical Value] [PAPER KUL intrins...] [2014-12-13 09:35:19] [bb1b6762b7e5624d262776d3f7139d34]
- R         [Testing Mean with unknown Variance - Critical Value] [PAPER KUL intrins...] [2014-12-13 09:36:34] [8568a324fefbb8dbb43f697bfa8d1be6] [Current]

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Dataseries X:

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Histogram

Boxplots

26
NA
37
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52
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58
68
62
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56
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40
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51
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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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266921&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266921&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266921&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	'George Udny Yule' @ yule.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	47
Sample standard deviation	11.2394261131275
Confidence	0.95
Null hypothesis	40
Sample Mean	52.2553191489362
2-sided Confidence Interval	[ 48.9553000149251 , 55.5553382829472 ]
Left-sided Confidence Interval	[ 49.5032581442729 , +inf ]
Right-sided Confidence Interval	[ -inf, 55.0073801535995 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 47 \tabularnewline
Sample standard deviation & 11.2394261131275 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 40 \tabularnewline
Sample Mean & 52.2553191489362 \tabularnewline
2-sided Confidence Interval & [ 48.9553000149251 , 55.5553382829472 ] \tabularnewline
Left-sided Confidence Interval & [ 49.5032581442729 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  55.0073801535995 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266921&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]47[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]11.2394261131275[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]40[/C][/ROW]
[ROW][C]Sample Mean[/C][C]52.2553191489362[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 48.9553000149251 , 55.5553382829472 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 49.5032581442729 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  55.0073801535995 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266921&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266921&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	47
Sample standard deviation	11.2394261131275
Confidence	0.95
Null hypothesis	40
Sample Mean	52.2553191489362
2-sided Confidence Interval	[ 48.9553000149251 , 55.5553382829472 ]
Left-sided Confidence Interval	[ 49.5032581442729 , +inf ]
Right-sided Confidence Interval	[ -inf, 55.0073801535995 ]

Parameters (Session):

par1 = 0.95 ; par2 = 40 ;

Parameters (R input):

par1 = 0.95 ; par2 = 40 ;

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

x<-na.omit(x)
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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