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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hypothesismean5.wasp
Title produced by softwareTesting Population Mean with known Variance - Confidence Interval
Date of computationWed, 12 Nov 2008 06:35:26 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/12/t1226497006n11t6wbwyzsnd54.htm/, Retrieved Sun, 19 May 2024 10:09:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24175, Retrieved Sun, 19 May 2024 10:09:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Testing Population Mean with known Variance - Confidence Interval] [] [2008-11-12 13:35:26] [0655940460a4fd80d3d4d54548b75d49] [Current]
Feedback Forum
2008-11-16 18:36:10 [Lana Van Wesemael] [reply] 
Hier heeft de student de variance en sample mean verkeerd ingevuld. Hierdoor is de gegenereerde tabel jammer genoeg fout. Hier vind je een link naar de juiste tabel:
http://www.freestatistics.org/blog/index.php?v=date/2008/Nov/16/t1226859331ggv7b74il2jxvmu.htm
Ik moet de student gelijk geven wanneer hij/zij schrijft dat er geen verdere uitleg gevraagd wordt. Toch zou het natuurlijk beter zijn moest de student dat wel gedaan hebben.
Hier zou je bijvoorbeeld kunnen schrijven dat men het rechtse one-sided interval neemt omdat men een vermoeden heeft van fraude.
2008-11-20 20:52:18 [Toon Wouters] [reply] 
Men kon concluderen : We verkrijgen bij het betrouwbaarheidsinterval van 95% een waarde van 18%, dit is groter dan de 15,46% die eerder werd waargenomen en ligt dus binnen het 95% betrouwbaarheidsinterval. We concluderen hieruit dat er geen fraude gepleegd wordt.http://www.freestatistics.org/blog/date/2008/Nov/11/t1226414217narrdmguclgh08e.htm
2008-11-24 18:43:42 [Yannick Van Schil] [reply] 
foute gegevens en geen uitleg gevraagd? Hier wordt normaal de proef nauwkeuriger gemaakt en de pakkans groter gemaakt door de variantie te verkleinen. Om dit te bereiken moet men de steekproefgrootte vergroten met 32466.5 wat veel te duur is en niet haalbaar

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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 time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24175&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24175&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24175&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Testing Population Mean with known Variance
Population variance1.2
Sample size27
Sample mean15.46
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.9515.046803311797015.8731966882030
Left one-sided confidence interval at 0.9515.1132344080830+inf
Right one-sided confidence interval at 0.95-inf15.8067655919170
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Population Mean with known Variance \tabularnewline
Population variance & 1.2 \tabularnewline
Sample size & 27 \tabularnewline
Sample mean & 15.46 \tabularnewline
Confidence interval & 0.95 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.95 & 15.0468033117970 & 15.8731966882030 \tabularnewline
Left one-sided confidence interval at  0.95 & 15.1132344080830 & +inf \tabularnewline
Right one-sided confidence interval at  0.95 & -inf & 15.8067655919170 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24175&T=1

[TABLE]
[ROW][C]Testing Population Mean with known Variance[/C][/ROW]
[ROW][C]Population variance[/C][C]1.2[/C][/ROW]
[ROW][C]Sample size[/C][C]27[/C][/ROW]
[ROW][C]Sample mean[/C][C]15.46[/C][/ROW]
[ROW][C]Confidence interval[/C][C]0.95[/C][/ROW]
[ROW][C]Type of Interval[/C][C]Left tail[/C][C]Right tail[/C][/ROW]
[ROW][C]Two-sided confidence interval at  0.95[/C][C]15.0468033117970[/C][C]15.8731966882030[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.95[/C][C]15.1132344080830[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.95[/C][C]-inf[/C][C]15.8067655919170[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24175&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24175&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 Population Mean with known Variance
Population variance1.2
Sample size27
Sample mean15.46
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.9515.046803311797015.8731966882030
Left one-sided confidence interval at 0.9515.1132344080830+inf
Right one-sided confidence interval at 0.95-inf15.8067655919170
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1.2 ; par2 = 27 ; par3 = 15.46 ; par4 = 0.95 ;
Parameters (R input):
par1 = 1.2 ; par2 = 27 ; par3 = 15.46 ; par4 = 0.95 ;
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)
sigma <- sqrt(par1)
sqrtn <- sqrt(par2)
ua <- par3 - abs(qnorm((1-par4)/2))* sigma / sqrtn
ub <- par3 + abs(qnorm((1-par4)/2))* sigma / sqrtn
ua
ub
ul <- par3 - qnorm(par4) * sigma / sqrtn
ul
ur <- par3 + qnorm(par4) * sigma / sqrtn
ur
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm','Testing Population Mean with known Variance','learn more about Statistical Hypothesis Testing about the Mean when the Variance is known'),3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Population variance',header=TRUE)
a<-table.element(a,par1,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,par2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample mean',header=TRUE)
a<-table.element(a,par3,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence interval',header=TRUE)
a<-table.element(a,par4,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type of Interval',header=TRUE)
a<-table.element(a,'Left tail',header=TRUE)
a<-table.element(a,'Right tail',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Two-sided confidence interval at ',par4), header=TRUE)
a<-table.element(a,ua)
a<-table.element(a,ub)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Left one-sided confidence interval at ',par4), header=TRUE)
a<-table.element(a,ul)
a<-table.element(a,'+inf')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Right one-sided confidence interval at ',par4), header=TRUE)
a<-table.element(a,'-inf')
a<-table.element(a,ur)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, hyperlink('ht_mean_knownvar.htm#ex5', 'more information about confidence interval','example'),3,TRUE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')