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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 computationFri, 22 Oct 2010 12:33:36 +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/t12877508322di11q00ylgs57l.htm/, Retrieved Sun, 03 Dec 2023 05:22:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87427, Retrieved Sun, 03 Dec 2023 05:22:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact207

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] [e665313c9926a9f4bdf6ad1ee5aefad6] [Current]
-   P           [Testing Mean with known Variance - Sample Size] [Vraag 10: sample ...] [2010-10-22 12:37:48] [74deae64b71f9d77c839af86f7c687b5]
F R             [Testing Mean with known Variance - Sample Size] [ws4 Q9] [2010-10-24 11:19:22] [afe9379cca749d06b3d6872e02cc47ed]
-                 [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]
F R P           [Testing Mean with known Variance - Sample Size] [WS4 Q10] [2010-10-24 11:20:38] [afe9379cca749d06b3d6872e02cc47ed]
-                 [Testing Mean with known Variance - Sample Size] [] [2010-10-26 19:36:25] [b64b273f7a25c5bb07ff2f026b8ce952]
- R P             [Testing Mean with known Variance - Sample Size] [] [2011-10-24 13:09:15] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Testing Mean with known Variance - Sample Size] [task 10] [2011-10-25 11:51:10] [380049693c521f4999989215fb37aeca]
-   P               [Testing Mean with known Variance - Sample Size] [WS4-Q10] [2011-10-25 19:41:37] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Testing Mean with known Variance - Sample Size] [] [2011-10-25 20:53:43] [74be16979710d4c4e7c6647856088456]
-   P               [Testing Mean with known Variance - Sample Size] [] [2011-10-25 22:54:42] [493236dcc414c5f9e1823f06b33a5ad6]
- R               [Testing Mean with known Variance - Sample Size] [Q10] [2012-10-23 17:05:09] [74be16979710d4c4e7c6647856088456]
- RM              [Testing Mean with known Variance - Sample Size] [] [2012-10-23 18:06:35] [74be16979710d4c4e7c6647856088456]
F RMP           [Minimum Sample Size - Testing Mean] [WS4 Q11] [2010-10-24 11:23:12] [afe9379cca749d06b3d6872e02cc47ed]
-   P             [Minimum Sample Size - Testing Mean] [] [2010-10-26 19:39:22] [b64b273f7a25c5bb07ff2f026b8ce952]
-                   [Minimum Sample Size - Testing Mean] [] [2010-10-26 19:42:01] [b64b273f7a25c5bb07ff2f026b8ce952]
- R P             [Minimum Sample Size - Testing Mean] [Workshop 1 part 1] [2010-11-11 14:34:09] [b9eaf9df71639055b3e2389f5099ca2c]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 1 Part 1] [2010-11-11 14:54:53] [b9eaf9df71639055b3e2389f5099ca2c]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 1 part 1] [2010-11-11 14:57:43] [b9eaf9df71639055b3e2389f5099ca2c]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 1 part 1] [2010-11-11 15:01:10] [b9eaf9df71639055b3e2389f5099ca2c]
-                 [Minimum Sample Size - Testing Mean] [Workshop 1] [2010-11-11 16:20:53] [eb6e95800005ec22b7fd76eead8d8a59]
- R P             [Minimum Sample Size - Testing Mean] [] [2011-10-24 13:12:17] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Minimum Sample Size - Testing Mean] [] [2011-10-24 13:12:44] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Minimum Sample Size - Testing Mean] [taak 11] [2011-10-25 12:06:48] [380049693c521f4999989215fb37aeca]
-   P               [Minimum Sample Size - Testing Mean] [] [2011-10-25 16:40:14] [493236dcc414c5f9e1823f06b33a5ad6]
-  M                  [Minimum Sample Size - Testing Mean] [] [2011-11-08 17:36:38] [22f8bc702946f784836540059d0d9516]
-   P               [Minimum Sample Size - Testing Mean] [W4-Q11] [2011-10-25 19:48:37] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Minimum Sample Size - Testing Mean] [] [2011-10-25 20:50:40] [74be16979710d4c4e7c6647856088456]
- R P             [Minimum Sample Size - Testing Mean] [Q11] [2012-10-23 17:08:38] [74be16979710d4c4e7c6647856088456]
- RMPD              [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q1] [2012-10-29 21:27:39] [77d02b0cf2cecd023ffa9a06f056f18d]
- R  D                [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q2] [2012-10-29 21:32:29] [77d02b0cf2cecd023ffa9a06f056f18d]
-    D                  [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q3] [2012-10-29 21:36:10] [77d02b0cf2cecd023ffa9a06f056f18d]
- RMPD                  [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q6] [2012-10-29 21:53:23] [77d02b0cf2cecd023ffa9a06f056f18d]
- R P                     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q6 - deel 2] [2012-10-29 22:00:33] [77d02b0cf2cecd023ffa9a06f056f18d]

[Truncated]
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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'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=87427&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=87427&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87427&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'George Udny Yule' @ 72.249.76.132






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=87427&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=87427&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87427&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')