## Free Statistics

of Irreproducible Research!

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 computationFri, 22 Oct 2010 13:26:06 +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/22/t12877538967z0up3ijgkvfjze.htm/, Retrieved Thu, 18 Jul 2024 02:26:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87477, Retrieved Thu, 18 Jul 2024 02:26:18 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact156
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] [Workshop 4 - Task 9] [2010-10-22 13:26:06] [3de277db83c2673156e9464be2ef6f69] [Current]
-   P     [Testing Mean with known Variance - Sample Size] [Workshop 4 - Task 10] [2010-10-22 13:28:55] [8b017ffbf7b0eded54d8efebfb3e4cfa]
- RMP     [Minimum Sample Size - Testing Mean] [Workshop 4 - Task 11] [2010-10-22 13:33:20] [8b017ffbf7b0eded54d8efebfb3e4cfa]
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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 'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87477&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87477&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87477&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 'George Udny Yule' @ 72.249.76.132

 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=87477&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]population variance[/C][C]13[/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=87477&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87477&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 = 13 ; par2 = 20 ; par3 = 21 ; par4 = 0.05 ; par5 = 0.05 ;
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 * sqrtnuaubcsqrtnsamplesizeload(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')