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Author's title

Author

*Unverified author*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Tue, 11 Nov 2008 05:34:32 -0700

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/2008/Nov/11/t1226406914pg65wbf5yce6y4r.htm/, Retrieved Sun, 19 May 2024 04:28:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23394, Retrieved Sun, 19 May 2024 04:28:09 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

117

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

F       [Testing Mean with unknown Variance - Critical Value] [Testing Mean with...] [2008-11-11 12:34:32] [3b916296c2d2371d528ff188880e3d2b] [Current]

Feedback Forum

2008-11-21 12:58:57 [Natalie De Wilde] [reply] 
Year 2: the sample mean of year 2 (89.575) is significantly different from the null hypothesis (=100) 
the 2-sided 95% confidence interval [ 82.2218544279892 , 96.9281455720108 ] does not contain the null hypothesis 
the 2-sided p-value (of the T-test) is 0.009742 < type I error (5%) 
 
Je moet hier je conclusie baseren op de p-waarde. Je moet controleren of deze groter of kleiner is dan de type 1 error. 
2008-11-21 13:05:18 [Natalie De Wilde] [reply] 
Voor Q2 moet je controleren of de sample mean in het rechtszijdig 1sided interval ligt. En of de sample mean kleiner of groter is dan de nulhypothese.

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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	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23394&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23394&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23394&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Hypothesis Test about the Mean - Confidence Interval
Sample size	12
Sample standard deviation	11.5730191707814
Confidence	0.95
Null hypothesis	100
Sample Mean	89.575
2-sided Confidence Interval	[ 82.2218544279892 , 96.9281455720108 ]
Left-sided Confidence Interval	[ 83.5752310138496 , +inf ]
Right-sided Confidence Interval	[ -inf, 95.5747689861504 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 12 \tabularnewline
Sample standard deviation & 11.5730191707814 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 89.575 \tabularnewline
2-sided Confidence Interval & [ 82.2218544279892 , 96.9281455720108 ] \tabularnewline
Left-sided Confidence Interval & [ 83.5752310138496 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  95.5747689861504 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23394&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]12[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]11.5730191707814[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]89.575[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 82.2218544279892 , 96.9281455720108 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 83.5752310138496 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  95.5747689861504 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23394&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23394&T=1

As an alternative you can also use a QR Code:

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

Hypothesis Test about the Mean - Confidence Interval
Sample size	12
Sample standard deviation	11.5730191707814
Confidence	0.95
Null hypothesis	100
Sample Mean	89.575
2-sided Confidence Interval	[ 82.2218544279892 , 96.9281455720108 ]
Left-sided Confidence Interval	[ 83.5752310138496 , +inf ]
Right-sided Confidence Interval	[ -inf, 95.5747689861504 ]

Parameters (Session):

Parameters (R input):

par1 = 0.95 ; par2 = 100 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
len <- length(x)
df <- len - 1
sd <- sd(x)
mx <- mean(x)
load(file='createtable')
delta2 <- abs(qt((1-par1)/2,df)) * sd / sqrt(len)
delta1 <- abs(qt((1-par1),df)) * sd / sqrt(len)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Hypothesis Test about the Mean - Confidence Interval',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample standard deviation',header=TRUE)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis',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,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'2-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta2)
dum <- paste(dum,',')
dum <- paste(dum,mx+delta2)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Left-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta1)
dum <- paste(dum,', +inf ]')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Right-sided Confidence Interval',header=TRUE)
dum <- paste('[ -inf, ',mx+delta1)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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