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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_hypothesismean2.wasp

Title produced by software

Testing Mean with known Variance - p-value

Date of computation

Sun, 23 Oct 2011 11:11:41 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Oct/23/t1319382734oycdgpb3p4wp4lm.htm/, Retrieved Fri, 10 May 2024 01:40:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=134165, Retrieved Fri, 10 May 2024 01:40:02 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

122

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]
- R PD    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-20 14:58:10] [ee8c3a74bf3b349877806e9a50913c60]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-20 15:00:30] [ee8c3a74bf3b349877806e9a50913c60]
- RMPD        [Testing Mean with known Variance - p-value] [] [2011-10-20 20:40:19] [ee8c3a74bf3b349877806e9a50913c60]
- R P           [Testing Mean with known Variance - p-value] [] [2011-10-20 20:41:59] [ee8c3a74bf3b349877806e9a50913c60]
-                 [Testing Mean with known Variance - p-value] [] [2011-10-20 20:44:47] [ee8c3a74bf3b349877806e9a50913c60]
- RM                [Testing Mean with known Variance - Sample Size] [] [2011-10-20 20:52:24] [ee8c3a74bf3b349877806e9a50913c60]
- RMP                   [Testing Mean with known Variance - p-value] [WS4 Q8 I1M] [2011-10-23 15:11:41] [7a9891c1925ad1e8ddfe52b8c5887b5b] [Current]
-   P                     [Testing Mean with known Variance - p-value] [WS4 Q8 I1F] [2011-10-25 18:29:11] [91ce4971c808115c699d50336245df56] 
- RMP                     [Testing Mean with known Variance - Sample Size] [WS4 Q9] [2011-10-25 18:31:46] [91ce4971c808115c699d50336245df56] 
- R P                       [Testing Mean with known Variance - Sample Size] [WS4 Q10] [2011-10-25 18:33:42] [91ce4971c808115c699d50336245df56] 
- RMP                       [Minimum Sample Size - Testing Mean] [WS4 Q11] [2011-10-25 18:35:58] [91ce4971c808115c699d50336245df56] 

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=134165&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=134165&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134165&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Testing Mean with known Variance
sample size	9
population variance	13
sample mean	5.35
null hypothesis about mean	5.2
type I error	0.35
Z-value	0.124807544150676
p-value (one-tailed)	0.450337957364005
p-value (two-tailed)	0.900675914728011
conclusion for one-tailed test
Do not 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 & 9 \tabularnewline
population variance & 13 \tabularnewline
sample mean & 5.35 \tabularnewline
null hypothesis about mean & 5.2 \tabularnewline
type I error & 0.35 \tabularnewline
Z-value & 0.124807544150676 \tabularnewline
p-value (one-tailed) & 0.450337957364005 \tabularnewline
p-value (two-tailed) & 0.900675914728011 \tabularnewline
conclusion for one-tailed test \tabularnewline
Do not 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=134165&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]sample size[/C][C]9[/C][/ROW]
[ROW][C]population variance[/C][C]13[/C][/ROW]
[ROW][C]sample mean[/C][C]5.35[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]5.2[/C][/ROW]
[ROW][C]type I error[/C][C]0.35[/C][/ROW]
[ROW][C]Z-value[/C][C]0.124807544150676[/C][/ROW]
[ROW][C]p-value (one-tailed)[/C][C]0.450337957364005[/C][/ROW]
[ROW][C]p-value (two-tailed)[/C][C]0.900675914728011[/C][/ROW]
[ROW][C]conclusion for one-tailed test[/C][/ROW]
[ROW][C]Do not 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=134165&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134165&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Testing Mean with known Variance
sample size	9
population variance	13
sample mean	5.35
null hypothesis about mean	5.2
type I error	0.35
Z-value	0.124807544150676
p-value (one-tailed)	0.450337957364005
p-value (two-tailed)	0.900675914728011
conclusion for one-tailed test
Do not reject the null hypothesis.
conclusion for two-tailed test
Do not reject the null hypothesis

Parameters (Session):

par1 = 9 ; par2 = 13 ; par3 = 5.35 ; par4 = 5.2 ; par5 = 0.35 ;

Parameters (R input):

par1 = 9 ; par2 = 13 ; par3 = 5.35 ; par4 = 5.2 ; 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))
z <- (par3 - par4) / (sqrt(par2/par1))
p <- 1-pnorm(z)
if (par3 == par4)
{
conclusion <- 'Error: the null hypothesis and sample mean must not be equal.'
conclusion2 <- conclusion
} else {
if (p < par5/2)
{
conclusion2 <- 'Reject the null hypothesis'
} else {
conclusion2 <- 'Do not reject the null hypothesis'
}
}
if (p < par5)
{
conclusion <- 'Reject the null hypothesis.'
} else {
conclusion <- 'Do not reject the null hypothesis.'
}
p
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,'Z-value',header=TRUE)
a<-table.element(a,z)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (one-tailed)',header=TRUE)
a<-table.element(a,p)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (two-tailed)',header=TRUE)
a<-table.element(a,p*2)
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')

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Input Parameters & R Code