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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 13:08:40 +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/t1287752863ri5shj30ywqj03s.htm/, Retrieved Sat, 25 Jan 2025 09:37:26 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87467, Retrieved Sat, 25 Jan 2025 09:37:26 +0000

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IsPrivate?

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User-defined keywords

Estimated Impact

270

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 13:08:40] [0cadca125c925bcc9e6efbdd1941e458] [Current]
- R P     [Testing Mean with known Variance - Sample Size] [q9] [2010-10-25 17:15:16] [04d4386fa51dbd2ef12d0f1f80644886] 
-   P       [Testing Mean with known Variance - Sample Size] [q10] [2010-10-25 17:18:09] [47382c2411a192fcbb469ec5bdae4d56] 
F   P     [Testing Mean with known Variance - Sample Size] [question 9 worksh...] [2010-10-25 17:23:11] [6ff9fb24bdca608d2f4f1f9db3f6445e] 
- R P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 12:41:19] [22937c5b58c14f6c22964f32d64ff823] 
- R P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 12:44:22] [22937c5b58c14f6c22964f32d64ff823] 
-   P     [Testing Mean with known Variance - Sample Size] [ws 4 taak 9] [2010-10-25 19:25:29] [05ab9592748364013445d860bb938e43] 
- R P     [Testing Mean with known Variance - Sample Size] [] [2010-10-26 09:22:46] [4cb9d9226ff0df1b8fdf89cde6bcc828] 
-   P     [Testing Mean with known Variance - Sample Size] [task 9] [2010-10-26 10:49:50] [18a20458ff88c9ba38344d123a9464bc] 
-   P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 20:36:58] [76e72a1b37cce9a27058d2e4927e5bf5] 
- R P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 20:59:17] [5278e0a58c5de897b31ce79607e774d7] 
-   P       [Testing Mean with known Variance - Sample Size] [] [2010-10-26 22:47:44] [6e5489189f7de5cfbcc25dd35ae15009] 
- R P       [Testing Mean with known Variance - Sample Size] [Academic Motivati...] [2010-10-26 23:52:52] [b20a509e36241371274681d9edf773da] 
-   P     [Testing Mean with known Variance - Sample Size] [Workshop 4 - Task 9] [2010-10-26 13:56:45] [8d09066a9d3795298da6860e7d4a4400] 
-   P     [Testing Mean with known Variance - Sample Size] [Workshop 4 - Task 10] [2010-10-26 14:00:02] [8d09066a9d3795298da6860e7d4a4400] 
-   P     [Testing Mean with known Variance - Sample Size] [] [2010-10-26 17:12:56] [8441f95c4a5787a301bc621ebc7904ca] 
- R         [Testing Mean with known Variance - Sample Size] [Q9] [2011-10-24 19:00:14] [0f81819b439c6e991d1a2004e9982756] 
-   P         [Testing Mean with known Variance - Sample Size] [Q10] [2011-10-24 19:10:08] [0f81819b439c6e991d1a2004e9982756] 
-   P           [Testing Mean with known Variance - Sample Size] [Q10] [2011-10-24 19:11:58] [0f81819b439c6e991d1a2004e9982756] 
-           [Testing Mean with known Variance - Sample Size] [WS 4 - Q8] [2011-10-25 16:29:55] [7e261c986c934df955dd3ac53e9d45c6] 
- RM D        [Paired and Unpaired Two Samples Tests about the Mean] [Nulhypothese 1] [2011-10-25 21:50:25] [7e261c986c934df955dd3ac53e9d45c6] 
- R  D          [Paired and Unpaired Two Samples Tests about the Mean] [hypothese 3] [2011-10-25 21:54:17] [7e261c986c934df955dd3ac53e9d45c6] 
-    D          [Paired and Unpaired Two Samples Tests about the Mean] [hypothese 2] [2011-10-25 21:56:44] [7e261c986c934df955dd3ac53e9d45c6] 
- RM D          [One Sample Tests about the Mean] [ws 4 -Q6] [2011-10-25 22:02:05] [7e261c986c934df955dd3ac53e9d45c6] 
- R  D            [One Sample Tests about the Mean] [ws4-Q6F] [2011-10-25 22:03:02] [7e261c986c934df955dd3ac53e9d45c6] 
-   P     [Testing Mean with known Variance - Sample Size] [WS4 Q9] [2010-10-26 20:48:26] [c2a9e95daa10045f9fd6252038bcb219] 
-           [Testing Mean with known Variance - Sample Size] [] [2010-10-27 13:34:55] [43239ed98a62e091c70785d80176537f] 
-   P     [Testing Mean with known Variance - Sample Size] [WS-Q9] [2010-10-26 23:40:49] [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	2 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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87467&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]2 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=87467&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87467&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	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

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	0.05
sample size	140.688259612962

\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 & 0.05 \tabularnewline
sample size & 140.688259612962 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87467&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]0.05[/C][/ROW]
[ROW][C]sample size[/C][C]140.688259612962[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87467&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87467&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	0.05
sample size	140.688259612962

Parameters (Session):

par1 = 0.98 ; par2 = 20 ;

Parameters (R input):

par1 = 13 ; par2 = 20 ; par3 = 21 ; 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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Input Parameters & R Code