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Author

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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Tue, 26 Oct 2010 09:16:47 +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/Oct/26/t12880845156ulbkplxwegg5wx.htm/, Retrieved Sun, 28 Apr 2024 04:12:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88926, Retrieved Sun, 28 Apr 2024 04:12:25 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

161

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] [Question 2 - Exam...] [2010-10-26 09:16:47] [e192c8164fa91adb027f71579ac0a49a] [Current]
- R  D    [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:06:29] [b64b273f7a25c5bb07ff2f026b8ce952] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:07:38] [b64b273f7a25c5bb07ff2f026b8ce952] 
- R  D    [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-24 21:55:16] [805a2cd4f7b6665cd8870eed4006f53c] 
-    D    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:25:42] [e21b9c93af4eb9605ecfaf58a559e5ab] 
- RM        [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 19:42:16] [91a574755a5705cf32ceabffa6be83ea] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:27:10] [e21b9c93af4eb9605ecfaf58a559e5ab] 
- RM        [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 19:44:06] [91a574755a5705cf32ceabffa6be83ea] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:40:55] [e21b9c93af4eb9605ecfaf58a559e5ab] 
- R P       [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:48:11] [e21b9c93af4eb9605ecfaf58a559e5ab] 
-  M          [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 19:51:57] [91a574755a5705cf32ceabffa6be83ea] 
-   PD      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 17:05:42] [e21b9c93af4eb9605ecfaf58a559e5ab] 
- RM          [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 20:12:11] [91a574755a5705cf32ceabffa6be83ea] 
-   PD      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 17:06:11] [e21b9c93af4eb9605ecfaf58a559e5ab] 
- R           [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 20:18:34] [91a574755a5705cf32ceabffa6be83ea] 
- RM          [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 20:22:09] [91a574755a5705cf32ceabffa6be83ea] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:47:14] [e21b9c93af4eb9605ecfaf58a559e5ab] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 20:03:20] [91a574755a5705cf32ceabffa6be83ea] 

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Dataseries X:

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Histogram

Boxplots

0,625
0,5
0
-0,5
0
-0,5
-0,5
0
1
0,5
-0,5
0
0,5
0,5
-0,375
0,5
0,5
0,5
0,75
0,5
1
0,5
0
0,5
0
-0,5
-1
0,25
0,5
0,5
0
0
0

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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88926&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88926&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88926&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Hypothesis Test about the Mean - Confidence Interval
Sample size	33
Sample standard deviation	0.481026118723235
Confidence	0.95
Null hypothesis	0.1
Sample Mean	0.174242424242424
2-sided Confidence Interval	[ 0.0036779791156846 , 0.344806869369164 ]
Left-sided Confidence Interval	[ 0.0324031267503832 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.316081721734465 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 33 \tabularnewline
Sample standard deviation & 0.481026118723235 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0.1 \tabularnewline
Sample Mean & 0.174242424242424 \tabularnewline
2-sided Confidence Interval & [ 0.0036779791156846 , 0.344806869369164 ] \tabularnewline
Left-sided Confidence Interval & [ 0.0324031267503832 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.316081721734465 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88926&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]33[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.481026118723235[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0.1[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.174242424242424[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.0036779791156846 , 0.344806869369164 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.0324031267503832 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.316081721734465 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88926&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88926&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	33
Sample standard deviation	0.481026118723235
Confidence	0.95
Null hypothesis	0.1
Sample Mean	0.174242424242424
2-sided Confidence Interval	[ 0.0036779791156846 , 0.344806869369164 ]
Left-sided Confidence Interval	[ 0.0324031267503832 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.316081721734465 ]

Parameters (Session):

par1 = 0.95 ; par2 = 0.1 ;

Parameters (R input):

par1 = 0.95 ; par2 = 0.1 ;

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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Input Parameters & R Code