Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

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

Wed, 30 Oct 2013 18:27:07 -0400

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/2013/Oct/30/t1383172043i1wraq09msvfdxy.htm/, Retrieved Tue, 10 Feb 2026 09:50:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=221419, Retrieved Tue, 10 Feb 2026 09:50:15 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

288

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] [Workshop 4 2.1] [2013-10-30 16:56:10] [4e6b221caf797a012ce5465db674848b]
- R  D  [Testing Mean with unknown Variance - Critical Value] [workshop 4 2.2] [2013-10-30 17:05:10] [4e6b221caf797a012ce5465db674848b]
- R PD    [Testing Mean with unknown Variance - Critical Value] [workshop 4.4] [2013-10-30 18:54:40] [4e6b221caf797a012ce5465db674848b]
- R  D      [Testing Mean with unknown Variance - Critical Value] [workshop 4 5] [2013-10-30 19:40:16] [4e6b221caf797a012ce5465db674848b]
- RMPD        [Testing Variance - Critical Value (Region)] [Workshop 4 8.4] [2013-10-30 21:44:06] [4e6b221caf797a012ce5465db674848b]
- RM            [Testing Mean with known Variance - Sample Size] [Workshop 4 9] [2013-10-30 22:21:25] [4e6b221caf797a012ce5465db674848b]
- R                 [Testing Mean with known Variance - Sample Size] [Workshop 4 10] [2013-10-30 22:27:07] [249761a82d67c41cbe9b5c486860cdc6] [Current]
- R                   [Testing Mean with known Variance - Sample Size] [workshop 4 10] [2013-10-30 22:42:14] [4e6b221caf797a012ce5465db674848b] 
- RM                  [Minimum Sample Size - Testing Mean] [workshop 4 11] [2013-10-30 22:50:37] [4e6b221caf797a012ce5465db674848b] 

Feedback Forum

Post a new message

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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=221419&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=221419&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=221419&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

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	93.4609008392521

\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 & 93.4609008392521 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=221419&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]93.4609008392521[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=221419&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=221419&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	93.4609008392521

Parameters (Session):

par1 = two.sided ; par2 = 0.95 ; par3 = 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code