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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hypothesismean6.wasp
Title produced by softwareTesting Sample Mean with known Variance - Confidence Interval
Date of computationThu, 13 Nov 2008 06:42:19 -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/t1226583790p5azrfs664mitjo.htm/, Retrieved Sun, 19 May 2024 11:29:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24606, Retrieved Sun, 19 May 2024 11:29:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Testing Sample Mean with known Variance - Confidence Interval] [confidence II] [2008-11-13 13:42:19] [628d1df75cd8f2f5ef9dafa62752b4fe] [Current]
Feedback Forum
2008-11-15 16:21:05 [Philip Van Herck] [reply] 
Zelfde opmerking omtrent foutieve input. De oplossing is dezelfde als in Q5 maar dan nu voor de nieuwe nulhypothese. Ook hier valt de sample mean binnen het betrouwbaarheidsinterval.
2008-11-17 14:01:16 [Stef Vermeiren] [reply] 
wederop foute invoergegevens.

Hier zijn het zelfde oplossingen als in vraag 5, maar dan een andere nulhypothese.

Deze valt ook binnen het betrouwbaarheidsinterval. We maken gebruik van een rechtszijdig interval
2008-11-23 16:16:43 [Gilliam Schoorel] [reply] 
De nulhypothese is nu verschoven naar 15,2%, dit betekent dat als we ervan uitgaan dat het vetpercentage 15.2 % bedraagt we voor het betrouwbaarheidsinterval 18.66% krijgen. Dit is nog steeds groter dan 15.46% na het veranderen van de nulhypothese. Dus kunnen we weer concluderen dat er geen fraude gepleegd wordt.
2008-11-24 11:14:38 [Sofie Sergoynne] [reply] 
Weer een foute output wegens foute ingave van de gegevens. indien deze correct werd ingegeven kan je besluiten dat het gemiddelde van de steekproef 0.1546 lager ligt dan 0.189276559191704 en dus binnen het betrouwbaarheidsinterval. Correcte uitleg van de nulhypothese dat die moet aangepastworden van 15% naar 15.2%. Uitleg van het werkelijke gemiddelde is dus fout.

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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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24606&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24606&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24606&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Testing Sample Mean with known Variance
Population variance0.012
Sample size27
Null hypothesis (H0)15.2
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.9515.158680331179715.2413196688203
Left one-sided confidence interval at 0.9515.1653234408083+inf
Right one-sided confidence interval at 0.95-inf15.2346765591917
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Sample Mean with known Variance \tabularnewline
Population variance & 0.012 \tabularnewline
Sample size & 27 \tabularnewline
Null hypothesis (H0) & 15.2 \tabularnewline
Confidence interval & 0.95 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.95 & 15.1586803311797 & 15.2413196688203 \tabularnewline
Left one-sided confidence interval at  0.95 & 15.1653234408083 & +inf \tabularnewline
Right one-sided confidence interval at  0.95 & -inf & 15.2346765591917 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24606&T=1

[TABLE]
[ROW][C]Testing Sample Mean with known Variance[/C][/ROW]
[ROW][C]Population variance[/C][C]0.012[/C][/ROW]
[ROW][C]Sample size[/C][C]27[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]15.2[/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]15.1586803311797[/C][C]15.2413196688203[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.95[/C][C]15.1653234408083[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.95[/C][C]-inf[/C][C]15.2346765591917[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24606&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24606&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 Sample Mean with known Variance
Population variance0.012
Sample size27
Null hypothesis (H0)15.2
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.9515.158680331179715.2413196688203
Left one-sided confidence interval at 0.9515.1653234408083+inf
Right one-sided confidence interval at 0.95-inf15.2346765591917
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.012 ; par2 = 27 ; par3 = 15.2 ; par4 = 0.95 ;
Parameters (R input):
par1 = 0.012 ; par2 = 27 ; par3 = 15.2 ; 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 Sample 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,'Null hypothesis (H0)',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#ex6', 'more information about confidence interval','example'),3,TRUE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')