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Author

*The author of this computation has been verified*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Fri, 19 Oct 2012 07:16:23 -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/2012/Oct/19/t1350645421ukk4raco34q0ldu.htm/, Retrieved Mon, 29 Apr 2024 12:53:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=180028, Retrieved Mon, 29 Apr 2024 12:53:57 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

111

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

-       [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 2] [2012-10-19 11:16:23] [88970af05b38e2e8b1d3faaed6004b57] [Current]
- RMPD    [Mean versus Median] [Workshop 4 - taak 3] [2012-10-19 11:35:58] [498ff5d3288f0a3191251bab12f09e42] 
- RMPD    [Mean versus Median] [Workshop 4 - taak 3] [2012-10-19 11:44:09] [498ff5d3288f0a3191251bab12f09e42] 
- R         [Mean versus Median] [] [2012-10-22 21:45:10] [d191800f060e920bc4e472a3c2728e14] 
-    D        [Mean versus Median] [] [2012-10-22 21:46:41] [d191800f060e920bc4e472a3c2728e14] 
-    D        [Mean versus Median] [] [2012-10-22 21:47:54] [d191800f060e920bc4e472a3c2728e14] 
- RMPD    [Mean versus Median] [Workshop 4 - taak 3] [2012-10-19 11:45:22] [498ff5d3288f0a3191251bab12f09e42] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [Workshop 4- taak 3] [2012-10-19 11:57:36] [498ff5d3288f0a3191251bab12f09e42] 
- R         [Testing Mean with unknown Variance - Critical Value] [] [2012-10-22 21:56:04] [d191800f060e920bc4e472a3c2728e14] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 4] [2012-10-19 12:31:40] [498ff5d3288f0a3191251bab12f09e42] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [] [2012-10-22 22:06:35] [d191800f060e920bc4e472a3c2728e14] 
-    D        [Testing Mean with unknown Variance - Critical Value] [] [2012-10-22 22:14:30] [d191800f060e920bc4e472a3c2728e14] 
-   P           [Testing Mean with unknown Variance - Critical Value] [P: One sample T-t...] [2012-12-15 14:03:55] [d191800f060e920bc4e472a3c2728e14] 
-   P           [Testing Mean with unknown Variance - Critical Value] [P: One sample T-t...] [2012-12-15 16:24:17] [d191800f060e920bc4e472a3c2728e14] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 5] [2012-10-19 12:36:23] [498ff5d3288f0a3191251bab12f09e42] 
- R         [Testing Mean with unknown Variance - Critical Value] [] [2012-10-22 22:17:11] [d191800f060e920bc4e472a3c2728e14] 
-  MP         [Testing Mean with unknown Variance - Critical Value] [P: One sample T-t...] [2012-12-15 14:05:42] [d191800f060e920bc4e472a3c2728e14] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 6] [2012-10-19 12:43:24] [498ff5d3288f0a3191251bab12f09e42] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 6] [2012-10-19 12:49:13] [498ff5d3288f0a3191251bab12f09e42] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 6] [2012-10-19 12:49:13] [498ff5d3288f0a3191251bab12f09e42] 
- RMPD    [One Sample Tests about the Mean] [Workshop 4 - taak 7] [2012-10-19 13:21:23] [498ff5d3288f0a3191251bab12f09e42] 
- R         [One Sample Tests about the Mean] [] [2012-10-22 22:36:52] [d191800f060e920bc4e472a3c2728e14] 
-   P         [One Sample Tests about the Mean] [P: One sample T-t...] [2012-12-15 13:47:53] [d191800f060e920bc4e472a3c2728e14] 
- RMPD    [One Sample Tests about the Mean] [Workshop 4 - taak 7] [2012-10-19 13:32:58] [498ff5d3288f0a3191251bab12f09e42] 
- R  D      [One Sample Tests about the Mean] [] [2012-10-22 22:37:42] [d191800f060e920bc4e472a3c2728e14] 
-   PD        [One Sample Tests about the Mean] [P: One sample T-t...] [2012-12-15 13:50:30] [d191800f060e920bc4e472a3c2728e14] 

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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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180028&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=180028&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180028&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	105
Sample standard deviation	0.545208902396822
Confidence	0.95
Null hypothesis	0
Sample Mean	0.171428571428571
2-sided Confidence Interval	[ 0.0659172112278813 , 0.276939931629262 ]
Left-sided Confidence Interval	[ 0.0831243406459149 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.259732802211228 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 105 \tabularnewline
Sample standard deviation & 0.545208902396822 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.171428571428571 \tabularnewline
2-sided Confidence Interval & [ 0.0659172112278813 , 0.276939931629262 ] \tabularnewline
Left-sided Confidence Interval & [ 0.0831243406459149 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.259732802211228 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180028&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]105[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.545208902396822[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.171428571428571[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.0659172112278813 , 0.276939931629262 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.0831243406459149 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.259732802211228 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=180028&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180028&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	105
Sample standard deviation	0.545208902396822
Confidence	0.95
Null hypothesis	0
Sample Mean	0.171428571428571
2-sided Confidence Interval	[ 0.0659172112278813 , 0.276939931629262 ]
Left-sided Confidence Interval	[ 0.0831243406459149 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.259732802211228 ]

Parameters (Session):

par1 = 0.95 ; par2 = 0 ;

Parameters (R input):

par1 = 0.95 ; par2 = 0 ;

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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