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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean4.wasp
Title produced by softwareTesting Mean with known Variance - Sample Size
Date of computationSun, 24 Oct 2010 11:19:22 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/24/t128791908716os1jxxtxpv4ed.htm/, Retrieved Fri, 27 Jun 2025 12:08:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87801, Retrieved Fri, 27 Jun 2025 12:08:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact342

Tree of Dependent Computations

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] [Vraag 4: Male ] [2010-10-22 09:14:17] [74deae64b71f9d77c839af86f7c687b5]
- RMPD      [Testing Mean with known Variance - Sample Size] [Vraag 9: Minimum ...] [2010-10-22 12:33:36] [74deae64b71f9d77c839af86f7c687b5]
F R             [Testing Mean with known Variance - Sample Size] [ws4 Q9] [2010-10-24 11:19:22] [aa6b599ccd367bc74fed0d8f67004a46] [Current]
-                 [Testing Mean with known Variance - Sample Size] [] [2010-10-26 19:28:12] [b64b273f7a25c5bb07ff2f026b8ce952]
-                 [Testing Mean with known Variance - Sample Size] [Workshop 1] [2010-11-11 16:04:19] [eb6e95800005ec22b7fd76eead8d8a59]
-   P             [Testing Mean with known Variance - Sample Size] [Workshop 1] [2010-11-11 16:11:08] [eb6e95800005ec22b7fd76eead8d8a59]
- R P             [Testing Mean with known Variance - Sample Size] [] [2011-10-24 13:07:04] [85a41d310e9fcdbad32d999510017dfa]
- R               [Testing Mean with known Variance - Sample Size] [] [2011-10-25 10:49:24] [0748461f029d231b348d2f525a63e360]
- R P               [Testing Mean with known Variance - Sample Size] [] [2011-10-25 11:03:23] [0748461f029d231b348d2f525a63e360]
-  M                  [Testing Mean with known Variance - Sample Size] [] [2011-10-25 11:26:40] [0748461f029d231b348d2f525a63e360]
- R P                 [Testing Mean with known Variance - Sample Size] [] [2011-10-25 11:32:41] [0748461f029d231b348d2f525a63e360]
- R P             [Testing Mean with known Variance - Sample Size] [Taak 9] [2011-10-25 11:45:47] [380049693c521f4999989215fb37aeca]
-   P               [Testing Mean with known Variance - Sample Size] [WS4-Q9] [2011-10-25 19:31:04] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Testing Mean with known Variance - Sample Size] [] [2011-10-25 20:57:32] [74be16979710d4c4e7c6647856088456]
-   P               [Testing Mean with known Variance - Sample Size] [] [2011-10-25 22:53:43] [493236dcc414c5f9e1823f06b33a5ad6]
- R P             [Testing Mean with known Variance - Sample Size] [] [2011-10-25 17:01:35] [a1957df0bc37aec4aa3c994e6a08412c]
-                   [Testing Mean with known Variance - Sample Size] [] [2011-10-25 17:02:31] [a1957df0bc37aec4aa3c994e6a08412c]
- R               [Testing Mean with known Variance - Sample Size] [Q9] [2012-10-23 17:02:58] [74be16979710d4c4e7c6647856088456]
- R               [Testing Mean with known Variance - Sample Size] [] [2012-10-23 18:03:08] [74be16979710d4c4e7c6647856088456]
Feedback Forum
2010-11-02 23:40:46 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De population variance had 13 moeten zijn. Dan zou de student komen op een sample size van 140,688259612962.

Post a new message

Dataset

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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=87801&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=87801&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87801&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Testing Mean with known Variance
population variance0.13
null hypothesis about mean20
alternative hypothesis about mean21
type I error0.05
type II error0.05
sample size1.40688259612962

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
population variance & 0.13 \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 & 1.40688259612962 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87801&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]population variance[/C][C]0.13[/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]1.40688259612962[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87801&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87801&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Testing Mean with known Variance
population variance0.13
null hypothesis about mean20
alternative hypothesis about mean21
type I error0.05
type II error0.05
sample size1.40688259612962


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.13 ; par2 = 20 ; par3 = 21 ; par4 = 0.05 ; par5 = 0.05 ;
Parameters (R input):
par1 = 0.13 ; 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')