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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 computationThu, 13 Nov 2008 02:21:35 -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/13/t1226568149yqshunjr1d0skkm.htm/, Retrieved Sun, 19 May 2024 12:13:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24511, Retrieved Sun, 19 May 2024 12:13:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159

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] [the pork quality ...] [2008-11-13 09:21:35] [0cebda6bbc99948f606f5db2560512ab] [Current]
-   P     [Testing Population Mean with known Variance - Confidence Interval] [correctie Q5 pork...] [2008-11-24 21:02:03] [b1bd16d1f47bfe13feacf1c27a0abba5]
Feedback Forum
2008-11-24 09:31:35 [Anouk Greeve] [reply] 
Berekeningen kloppen niet helemaal maar het is wel correct dat we de one-sided confidence interval van de right-tail gebruiken.
2008-11-24 21:33:36 [Jasmine Hendrikx] [reply] 
Evaluatie Q5:
Er is gebruik gemaakt van de juiste module, maar de getallen zijn verkeerd ingevuld. Zo moet er bij population variance 0.012 staan en bij sample mean 0.1546. Hieronder staat de URL met de juiste berekeningen: http://www.freestatistics.org/blog/index.php?v=date/2008/Nov/24/t1227560566qyo9tfdfbho88dm.htm
Zoals de student correct concludeert, maken we inderdaad gebruik van het right one-sided confidence interval at 0.95. Dit komt doordat we een vermoeden hebben van fraude (te veel vet leveren). We kijken dus alleen naar de afwijking naar boven. Aangezien de berekeningen verkeerd waren, is de verklaring wel anders. De sample mean (15.46%) ligt onder de 18.93% en bijgevolg binnen het betrouwbaarheidsinterval. De rechterstaart is ook nauwkeuriger ten opzichte van het tweezijdige betrouwbaarheidsinterval, aangezien de volledige foutmarge van 5% toegewezen wordt aan de rechterkant. Bij het tweezijdige betrouwbaarheidsinterval wordt deze 5% verdeeld over zowel de linkse als de rechtse staart, waardoor de grenzen van het tweezijdige betrouwbaarheidsinterval extremer worden.

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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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24511&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24511&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24511&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






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=24511&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=24511&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24511&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')