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Author

*The author of this computation has been verified*

R Software Module

rwasp_hypothesismean4.wasp

Title produced by software

Testing Mean with known Variance - Sample Size

Date of computation

Sun, 27 Nov 2011 11:17:02 -0500

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/2011/Nov/27/t1322410640klpny179fkz6p7n.htm/, Retrieved Fri, 19 Apr 2024 11:42:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147537, Retrieved Fri, 19 Apr 2024 11:42:59 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

109

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
-   PD    [Testing Mean with unknown Variance - Critical Value] [MALE] [2010-10-22 09:14:05] [504b6ff240ec7a3fcbc007044ae7a0bb]
- RMPD      [Testing Mean with known Variance - Sample Size] [Vr9] [2010-10-22 12:34:12] [504b6ff240ec7a3fcbc007044ae7a0bb]
-   P         [Testing Mean with known Variance - Sample Size] [vr10] [2010-10-22 12:39:41] [504b6ff240ec7a3fcbc007044ae7a0bb]
-   P           [Testing Mean with known Variance - Sample Size] [] [2010-10-25 18:21:40] [504b6ff240ec7a3fcbc007044ae7a0bb]
-   P               [Testing Mean with known Variance - Sample Size] [] [2011-11-27 16:17:02] [5f9ad3d6882448a3cbf5628cc61fe2a1] [Current]

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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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147537&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147537&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147537&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	'Gertrude Mary Cox' @ cox.wessa.net

Testing Mean with known Variance
population variance	0.36
null hypothesis about mean	5.2
alternative hypothesis about mean	5.4
type I error	0.05
type II error	0.05
sample size	97.3995643474338

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
population variance & 0.36 \tabularnewline
null hypothesis about mean & 5.2 \tabularnewline
alternative hypothesis about mean & 5.4 \tabularnewline
type I error & 0.05 \tabularnewline
type II error & 0.05 \tabularnewline
sample size & 97.3995643474338 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147537&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]population variance[/C][C]0.36[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]5.2[/C][/ROW]
[ROW][C]alternative hypothesis about mean[/C][C]5.4[/C][/ROW]
[ROW][C]type I error[/C][C]0.05[/C][/ROW]
[ROW][C]type II error[/C][C]0.05[/C][/ROW]
[ROW][C]sample size[/C][C]97.3995643474338[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147537&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147537&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Testing Mean with known Variance
population variance	0.36
null hypothesis about mean	5.2
alternative hypothesis about mean	5.4
type I error	0.05
type II error	0.05
sample size	97.3995643474338

Parameters (Session):

Parameters (R input):

par1 = 0.36 ; par2 = 5.2 ; par3 = 5.4 ; par4 = 0.05 ; par5 = 0.05 ;

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

par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
par4<-as.numeric(par4)
par5<-as.numeric(par5)
c <- 'NA'
csn <- abs(qnorm(par5))
if (par2 == par3)
{
conclusion <- 'Error: the null hypothesis and alternative hypothesis must not be equal.'
}
ua <- abs(qnorm(par4))
ub <- qnorm(par5)
c <- (par2+ua/ub*(-par3))/(1-(ua/ub))
sqrtn <- ua*sqrt(par1)/(c - par2)
samplesize <- sqrtn * sqrtn
ua
ub
c
sqrtn
samplesize
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm','Testing Mean with known Variance','learn more about Statistical Hypothesis Testing about the Mean when the Variance is known'),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'population variance',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'null hypothesis about mean',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alternative hypothesis about mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type I error',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type II error',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm#ex4','sample size','example'),header=TRUE)
a<-table.element(a,samplesize)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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