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R Software Module

rwasp_hypothesismean4.wasp

Title produced by software

Testing Mean with known Variance - Sample Size

Date of computation

Fri, 22 Oct 2010 13:11:00 +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/22/t1287752962q1koqxegm2of80f.htm/, Retrieved Thu, 27 Mar 2025 19:51:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87469, Retrieved Thu, 27 Mar 2025 19:51:07 +0000

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No (this computation is public)

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Estimated Impact

297

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

-       [Testing Mean with known Variance - Sample Size] [Hypothesis Testing] [2010-10-22 13:11:00] [0cadca125c925bcc9e6efbdd1941e458] [Current]
-   P     [Testing Mean with known Variance - Sample Size] [question 10 works...] [2010-10-25 17:25:16] [6ff9fb24bdca608d2f4f1f9db3f6445e] 
-   P     [Testing Mean with known Variance - Sample Size] [ws 4 taak 10] [2010-10-25 19:30:29] [05ab9592748364013445d860bb938e43] 
- R P     [Testing Mean with known Variance - Sample Size] [] [2010-10-26 09:28:54] [4cb9d9226ff0df1b8fdf89cde6bcc828] 
-   P     [Testing Mean with known Variance - Sample Size] [task 10] [2010-10-26 10:52:51] [18a20458ff88c9ba38344d123a9464bc] 
-   P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 20:37:48] [76e72a1b37cce9a27058d2e4927e5bf5] 
- R P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 21:01:46] [5278e0a58c5de897b31ce79607e774d7] 
-   P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 22:49:20] [6e5489189f7de5cfbcc25dd35ae15009] 
- R P       [Testing Mean with known Variance - Sample Size] [Academic Motivati...] [2010-10-26 23:55:04] [b20a509e36241371274681d9edf773da] 
-   P     [Testing Mean with known Variance - Sample Size] [] [2010-10-26 17:15:53] [8441f95c4a5787a301bc621ebc7904ca] 
-   P       [Testing Mean with known Variance - Sample Size] [WS 4 - Q10] [2011-10-25 16:31:57] [7e261c986c934df955dd3ac53e9d45c6] 
-   P     [Testing Mean with known Variance - Sample Size] [WS4 Q10] [2010-10-26 20:59:23] [c2a9e95daa10045f9fd6252038bcb219] 
-           [Testing Mean with known Variance - Sample Size] [] [2010-10-27 13:38:15] [43239ed98a62e091c70785d80176537f] 
-   P     [Testing Mean with known Variance - Sample Size] [WS-Q10] [2010-10-26 23:43:19] [7e261c986c934df955dd3ac53e9d45c6] 

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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	4 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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87469&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]4 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=87469&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87469&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	4 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Testing Mean with known Variance
population variance	13
null hypothesis about mean	20
alternative hypothesis about mean	21
type I error	0.05
type II error	0.15
sample size	93.4609008392543

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
population variance & 13 \tabularnewline
null hypothesis about mean & 20 \tabularnewline
alternative hypothesis about mean & 21 \tabularnewline
type I error & 0.05 \tabularnewline
type II error & 0.15 \tabularnewline
sample size & 93.4609008392543 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87469&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]population variance[/C][C]13[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]20[/C][/ROW]
[ROW][C]alternative hypothesis about mean[/C][C]21[/C][/ROW]
[ROW][C]type I error[/C][C]0.05[/C][/ROW]
[ROW][C]type II error[/C][C]0.15[/C][/ROW]
[ROW][C]sample size[/C][C]93.4609008392543[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87469&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87469&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	13
null hypothesis about mean	20
alternative hypothesis about mean	21
type I error	0.05
type II error	0.15
sample size	93.4609008392543

Parameters (Session):

par1 = 0.98 ; par2 = 20 ;

Parameters (R input):

par1 = 13 ; par2 = 20 ; par3 = 21 ; par4 = 0.05 ; par5 = 0.15 ;

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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