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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 08:10:32 -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/t1350648706q1ou0wtzvdrqzhs.htm/, Retrieved Mon, 29 Apr 2024 15:36:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=180075, Retrieved Mon, 29 Apr 2024 15:36:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

119

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] [WS4T1a] [2012-10-19 12:04:10] [d2e282a9ac132a80b8d48efc3a3dfb6b]
- R  D    [Testing Mean with unknown Variance - Critical Value] [WS4T1b] [2012-10-19 12:10:32] [b0d74e5516a9792d73894039244f6765] [Current]
-    D      [Testing Mean with unknown Variance - Critical Value] [WS4T1c] [2012-10-19 12:14:48] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
-   PD        [Testing Mean with unknown Variance - Critical Value] [WS4T4] [2012-10-19 13:44:14] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
-    D          [Testing Mean with unknown Variance - Critical Value] [WS4T5] [2012-10-19 13:48:39] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- RMP             [One Sample Tests about the Mean] [WS5T7a] [2012-10-19 14:03:57] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- R  D              [One Sample Tests about the Mean] [WS4T6b] [2012-10-19 14:19:08] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- RM D              [Variability] [WS5T8a] [2012-10-19 14:35:05] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- R  D                [Variability] [WS4T8b] [2012-10-19 14:37:00] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- RM D                [Testing Variance - Critical Value (Region)] [WS4T8A2] [2012-10-19 14:38:38] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- R                     [Testing Variance - Critical Value (Region)] [] [2012-10-19 14:40:45] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- R                     [Testing Variance - Critical Value (Region)] [WS4T8B2] [2012-10-19 14:41:19] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- RM                    [Minimum Sample Size - Testing Mean] [WS4T9a] [2012-10-19 14:53:21] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- RM                      [Testing Mean with known Variance - Sample Size] [WS4T9B] [2012-10-19 15:02:18] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- R                         [Testing Mean with known Variance - Sample Size] [WS4T9a] [2012-10-19 15:05:48] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
-                             [Testing Mean with known Variance - Sample Size] [WS4T9a] [2012-10-19 15:26:51] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
-                               [Testing Mean with known Variance - Sample Size] [WS4T10] [2012-10-19 15:28:49] [d2e282a9ac132a80b8d48efc3a3dfb6b] 
- RM                            [Minimum Sample Size - Testing Mean] [WS4T11] [2012-10-19 15:36:59] [d2e282a9ac132a80b8d48efc3a3dfb6b] 

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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=180075&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=180075&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180075&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	35
Sample standard deviation	0.50709255283711
Confidence	0.95
Null hypothesis	0
Sample Mean	0.514285714285714
2-sided Confidence Interval	[ 0.340093327772767 , 0.688478100798662 ]
Left-sided Confidence Interval	[ 0.369349349555412 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.659222079016016 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 35 \tabularnewline
Sample standard deviation & 0.50709255283711 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.514285714285714 \tabularnewline
2-sided Confidence Interval & [ 0.340093327772767 , 0.688478100798662 ] \tabularnewline
Left-sided Confidence Interval & [ 0.369349349555412 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.659222079016016 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180075&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]35[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.50709255283711[/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]0.514285714285714[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.340093327772767 , 0.688478100798662 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.369349349555412 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.659222079016016 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=180075&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180075&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	35
Sample standard deviation	0.50709255283711
Confidence	0.95
Null hypothesis	0
Sample Mean	0.514285714285714
2-sided Confidence Interval	[ 0.340093327772767 , 0.688478100798662 ]
Left-sided Confidence Interval	[ 0.369349349555412 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.659222079016016 ]

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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