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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean5.wasp
Title produced by softwareTesting Population Mean with known Variance - Confidence Interval
Date of computationWed, 12 Nov 2008 13:19:34 -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/t1226521238wk9cnnj7ut10vpf.htm/, Retrieved Sun, 19 May 2024 06:15:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24430, Retrieved Sun, 19 May 2024 06:15:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsJonas Scheltjens
Estimated Impact140

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] [Testing Populatio...] [2008-11-12 20:19:34] [f4960a11bac8b7f1cb71c83b5826d5bd] [Current]
Feedback Forum
2008-11-16 11:16:08 [Charis Berrevoets] [reply] 
Je berekening is helemaal juist, maar je hebt geen conclusie gegeven. Je had bijvoorbeeld kunnen schrijven dat, om na te gaan of het steekproefgemiddelde binnen het betrouwbaarheidsinterval ligt, we het beste kunnen kijken naar de 1-zijdige test. Dit omdat de producent enkel een voordeel haalt door een te hoog vetpercentage te gebruiken, te laag zal dus niet voorkomen. Daarom gebruiken we de Right one-sided confidence interval at 0.95 omdat dit in dit geval het meest nauwkeurige is. We zien dan dat het gemiddelde binnen het 95%-betrouwbaarheidsinterval ligt.
2008-11-24 18:45:24 [Kevin Vermeiren] [reply] 
Voor deze opgave werd geen conclusie genoteerd. De berekeningen, uitgevoerd door de student, zijn wel correct echter er werd een fout gemaakt bij het invoeren van de gegevens. De waarden van de population variance en sample size werden omgewisseld. Als gevolg hier van werden er uiteraard verkeerde gegevens tot stand gebracht. Daar de producent enkel een economisch voordeel kan bereiken door teveel vet in zijn vlees te verwerken (en we uit gaan van fraude) dient er hier gekeken te worden naar de “Right one-sided confidence interval at 0.95” naar de right tail hiervan. Deze is nauwkeuriger daar de 5% foutmarge toegewezen wordt aan de rechterkant. Dit is niet het geval bij het 2-zijdig betrouwbaarheidsinterval, hier wordt de foutmarge over zowel de linker als de rechter staart verdeeld met een mindere nauwkeurigheid als gevolg. Uit de juiste tabel blijkt dat de sample mean gelegen is binnen het 95% betrouwbaarheidsinterval daar 0.1546 < 0.1893.

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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'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=24430&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=24430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24430&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 Population Mean with known Variance
Population variance27
Sample size0.012
Sample mean0.1546
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.95-92.814654845684293.1238548456842
Left one-sided confidence interval at 0.95-77.8676581813336+inf
Right one-sided confidence interval at 0.95-inf78.1768581813336
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Population Mean with known Variance \tabularnewline
Population variance & 27 \tabularnewline
Sample size & 0.012 \tabularnewline
Sample mean & 0.1546 \tabularnewline
Confidence interval & 0.95 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.95 & -92.8146548456842 & 93.1238548456842 \tabularnewline
Left one-sided confidence interval at  0.95 & -77.8676581813336 & +inf \tabularnewline
Right one-sided confidence interval at  0.95 & -inf & 78.1768581813336 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24430&T=1

[TABLE]
[ROW][C]Testing Population Mean with known Variance[/C][/ROW]
[ROW][C]Population variance[/C][C]27[/C][/ROW]
[ROW][C]Sample size[/C][C]0.012[/C][/ROW]
[ROW][C]Sample mean[/C][C]0.1546[/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]-92.8146548456842[/C][C]93.1238548456842[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.95[/C][C]-77.8676581813336[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.95[/C][C]-inf[/C][C]78.1768581813336[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24430&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 variance27
Sample size0.012
Sample mean0.1546
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.95-92.814654845684293.1238548456842
Left one-sided confidence interval at 0.95-77.8676581813336+inf
Right one-sided confidence interval at 0.95-inf78.1768581813336
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 27 ; par2 = 0.012 ; par3 = 0.1546 ; par4 = 0.95 ;
Parameters (R input):
par1 = 27 ; par2 = 0.012 ; par3 = 0.1546 ; 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')