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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 14:35:29 +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/t1288103663f9eckinwa4m2n5o.htm/, Retrieved Sat, 27 Apr 2024 22:24:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89214, Retrieved Sat, 27 Apr 2024 22:24:24 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

177

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] [Task 2: nulhypoth...] [2010-10-24 14:45:10] [6ca0fc48dd5333d51a15728999009c83]
F   PD    [Testing Mean with unknown Variance - Critical Value] [WS4 Taak 2 (Groep S)] [2010-10-26 14:35:29] [3ee4962e6ce79244b15c133e74cea133] [Current]

Feedback Forum

2010-10-31 12:08:33 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
Rekening houdend met de opmerkingen gegeven bij de vorige hypothesetoets, kunnen we ook hier stellen dat de nulhypothese niet gelegen is in het betrouwbaarheidsinterval waardoor we de nulhypothese zullen verwerpen. We aanvaarden dus de alternatieve hypothese en daarmee dus het feit dat de treatment wel effect heeft.  
 
2010-11-02 20:02:09 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De nulhypothese moet hier aanvaard worden want 0 ligt in het betrouwbaarheidsinterval[ -0.128085086527478 , 0.242370800813192 ].

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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	'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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89214&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89214&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89214&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	'Gwilym Jenkins' @ 72.249.127.135

Hypothesis Test about the Mean - Confidence Interval
Sample size	35
Sample standard deviation	1.78791461078604
Confidence	0.95
Null hypothesis	0
Sample Mean	1.45714285714286
2-sided Confidence Interval	[ 0.842972699857528 , 2.07131301442819 ]
Left-sided Confidence Interval	[ 0.946124025007177 , +inf ]
Right-sided Confidence Interval	[ -inf, 1.96816168927854 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 35 \tabularnewline
Sample standard deviation & 1.78791461078604 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.45714285714286 \tabularnewline
2-sided Confidence Interval & [ 0.842972699857528 , 2.07131301442819 ] \tabularnewline
Left-sided Confidence Interval & [ 0.946124025007177 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.96816168927854 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89214&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]35[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.78791461078604[/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]1.45714285714286[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.842972699857528 , 2.07131301442819 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.946124025007177 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.96816168927854 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89214&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89214&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	35
Sample standard deviation	1.78791461078604
Confidence	0.95
Null hypothesis	0
Sample Mean	1.45714285714286
2-sided Confidence Interval	[ 0.842972699857528 , 2.07131301442819 ]
Left-sided Confidence Interval	[ 0.946124025007177 , +inf ]
Right-sided Confidence Interval	[ -inf, 1.96816168927854 ]

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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