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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean1.wasp
Title produced by softwareTesting Mean with known Variance - Critical Value
Date of computationTue, 26 Oct 2010 18:21:42 +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/26/t12881172110uqqitzb5bi3z9k.htm/, Retrieved Sat, 27 Apr 2024 20:20:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89515, Retrieved Sat, 27 Apr 2024 20:20:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact218

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] [WS4 - Question 5] [2010-10-25 19:47:30] [1f5baf2b24e732d76900bb8178fc04e7]
- RMPD      [Testing Mean with known Variance - Critical Value] [WS4 - Question 8 ...] [2010-10-25 20:17:41] [1f5baf2b24e732d76900bb8178fc04e7]
F R P           [Testing Mean with known Variance - Critical Value] [WS4 Q8] [2010-10-26 18:21:42] [aa6b599ccd367bc74fed0d8f67004a46] [Current]
-                 [Testing Mean with known Variance - Critical Value] [Workshop 1] [2010-11-11 15:50:52] [eb6e95800005ec22b7fd76eead8d8a59]
- R               [Testing Mean with known Variance - Critical Value] [WS IV question 8 ...] [2011-10-23 14:00:18] [7c680a04865e75aa8ab422cdbfd97ac3]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-24 13:03:58] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-24 20:55:09] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 09:56:08] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 09:56:48] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 10:03:30] [0748461f029d231b348d2f525a63e360]
- RMP             [Testing Mean with known Variance - p-value] [] [2011-10-24 20:59:41] [0748461f029d231b348d2f525a63e360]
- R P             [Testing Mean with known Variance - Critical Value] [taak 8 mannen] [2011-10-25 11:36:52] [380049693c521f4999989215fb37aeca]
-   P               [Testing Mean with known Variance - Critical Value] [WS4-Q8.1] [2011-10-25 19:20:12] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 21:00:13] [74be16979710d4c4e7c6647856088456]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 22:51:15] [493236dcc414c5f9e1823f06b33a5ad6]
-  MP                 [Testing Mean with known Variance - Critical Value] [] [2011-11-08 17:37:08] [22f8bc702946f784836540059d0d9516]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-25 17:27:22] [a1957df0bc37aec4aa3c994e6a08412c]
- R                 [Testing Mean with known Variance - Critical Value] [] [2011-10-25 17:33:28] [a1957df0bc37aec4aa3c994e6a08412c]
- RMPD            [Variability] [Ws] [2012-10-23 08:24:41] [8c30f4dd45e15fd207e4faf2fdf6253e]
- RMPD            [Variability] [WS 4 Q 8.2] [2012-10-23 08:26:30] [8c30f4dd45e15fd207e4faf2fdf6253e]
- R P             [Testing Mean with known Variance - Critical Value] [Q8.1] [2012-10-23 16:59:16] [74be16979710d4c4e7c6647856088456]
- R               [Testing Mean with known Variance - Critical Value] [] [2012-10-23 17:56:54] [74be16979710d4c4e7c6647856088456]
Feedback Forum
2010-11-02 23:38:26 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De berekening voor mannelijke studenten is hier overbodig. De standaarddeviatie en de sample size is al berekend in excel. De nulhypothese is hier gelijke aan de sample variantie, die gelijk is aan 13 dus moeten we de hypothese niet berekenen voor mannelijke studenten.

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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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89515&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89515&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89515&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'George Udny Yule' @ 72.249.76.132






Testing Mean with known Variance
sample size98
population variance13
sample mean20.2857142857143
null hypothesis about mean20
type I error0.35
critical value (one-tailed)20.1403397555142
confidence interval (two-tailed)(sample mean)[ 19.9453222119730 , 20.6261063594556 ]
conclusion for one-tailed test
Reject the null hypothesis.
conclusion for two-tailed test
Do not reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
sample size & 98 \tabularnewline
population variance & 13 \tabularnewline
sample mean & 20.2857142857143 \tabularnewline
null hypothesis about mean & 20 \tabularnewline
type I error & 0.35 \tabularnewline
critical value (one-tailed) & 20.1403397555142 \tabularnewline
confidence interval (two-tailed)(sample mean) & [ 19.9453222119730 ,  20.6261063594556 ] \tabularnewline
conclusion for one-tailed test \tabularnewline
Reject the null hypothesis. \tabularnewline
conclusion for two-tailed test \tabularnewline
Do not reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89515&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]sample size[/C][C]98[/C][/ROW]
[ROW][C]population variance[/C][C]13[/C][/ROW]
[ROW][C]sample mean[/C][C]20.2857142857143[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]20[/C][/ROW]
[ROW][C]type I error[/C][C]0.35[/C][/ROW]
[ROW][C]critical value (one-tailed)[/C][C]20.1403397555142[/C][/ROW]
[ROW][C]confidence interval (two-tailed)(sample mean)[/C][C][ 19.9453222119730 ,  20.6261063594556 ][/C][/ROW]
[ROW][C]conclusion for one-tailed test[/C][/ROW]
[ROW][C]Reject the null hypothesis.[/C][/ROW]
[ROW][C]conclusion for two-tailed test[/C][/ROW]
[ROW][C]Do not reject the null hypothesis[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89515&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89515&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
sample size98
population variance13
sample mean20.2857142857143
null hypothesis about mean20
type I error0.35
critical value (one-tailed)20.1403397555142
confidence interval (two-tailed)(sample mean)[ 19.9453222119730 , 20.6261063594556 ]
conclusion for one-tailed test
Reject the null hypothesis.
conclusion for two-tailed test
Do not reject the null hypothesis


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 98 ; par2 = 13 ; par3 = 20.2857142857143 ; par4 = 20 ; par5 = 0.35 ;
Parameters (R input):
par1 = 98 ; par2 = 13 ; par3 = 20.2857142857143 ; par4 = 20 ; par5 = 0.35 ;
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))
csn2 <- abs(qnorm(par5/2))
if (par3 == par4)
{
conclusion <- 'Error: the null hypothesis and sample mean must not be equal.'
conclusion2 <- conclusion
} else {
cleft <- par3 - csn2 * sqrt(par2) / sqrt(par1)
cright <- par3 + csn2 * sqrt(par2) / sqrt(par1)
c2 <- paste('[',cleft)
c2 <- paste(c2,', ')
c2 <- paste(c2,cright)
c2 <- paste(c2,']')
if ((par4 < cleft) | (par4 > cright))
{
conclusion2 <- 'Reject the null hypothesis'
} else {
conclusion2 <- 'Do not reject the null hypothesis'
}
}
if (par3 > par4)
{
c <- par4 + csn * sqrt(par2) / sqrt(par1)
if (par3 < c)
{
conclusion <- 'Do not reject the null hypothesis.'
} else {
conclusion <- 'Reject the null hypothesis.'
}
}
if (par3 < par4)
{
c <- par4 - csn * sqrt(par2) / sqrt(par1)
if (par3 > c)
{
conclusion <- 'Do not reject the null hypothesis.'
} else {
conclusion <- 'Reject the null hypothesis.'
}
}
c
conclusion
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,'sample size',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'population variance',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'sample mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'null hypothesis about mean',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type I 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#overview','critical value (one-tailed)','about the critical value'),header=TRUE)
a<-table.element(a,c)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'confidence interval (two-tailed)
(sample mean)',header=TRUE)
a<-table.element(a,c2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'conclusion for one-tailed test',2,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,conclusion,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'conclusion for two-tailed test',2,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,conclusion2,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')