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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

Sun, 21 Oct 2012 05:35:55 -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/21/t1350812285dq05gafbbn7mgy0.htm/, Retrieved Sun, 28 Apr 2024 20:14:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=180693, Retrieved Sun, 28 Apr 2024 20:14:16 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

143

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] [post-pre van S tr...] [2012-10-21 09:35:55] [91c3d91830a25c0bc67fd9a0665302b1] [Current]
- R       [Testing Mean with unknown Variance - Critical Value] [post-pre van E tr...] [2012-10-21 09:42:05] [57fcaae991493f873bcb4ee93ca06ef0] 
-    D    [Testing Mean with unknown Variance - Critical Value] [intrinsic motivat...] [2012-10-21 09:50:25] [57fcaae991493f873bcb4ee93ca06ef0] 
- R P       [Testing Mean with unknown Variance - Critical Value] [intrinsic motivat...] [2012-10-21 09:51:50] [57fcaae991493f873bcb4ee93ca06ef0] 
-    D        [Testing Mean with unknown Variance - Critical Value] [intrinsic motivat...] [2012-10-21 10:01:06] [57fcaae991493f873bcb4ee93ca06ef0] 
- RMPD          [One Sample Tests about the Mean] [P-value intrinsic...] [2012-10-21 11:46:17] [57fcaae991493f873bcb4ee93ca06ef0] 
- R  D            [One Sample Tests about the Mean] [P-value intrinsic...] [2012-10-21 11:53:21] [57fcaae991493f873bcb4ee93ca06ef0] 
- RMPD            [Variability] [variability van I...] [2012-10-21 12:05:46] [57fcaae991493f873bcb4ee93ca06ef0] 
- RMPD            [Testing Variance - p-value (probability)] [Variance P value ...] [2012-10-21 12:08:23] [57fcaae991493f873bcb4ee93ca06ef0] 
- R P               [Testing Variance - p-value (probability)] [P-value intrinsic...] [2012-10-23 07:33:30] [57fcaae991493f873bcb4ee93ca06ef0] 
- RMPD            [Variability] [Variance P value ...] [2012-10-21 12:21:09] [57fcaae991493f873bcb4ee93ca06ef0] 
- RMPD            [Testing Variance - p-value (probability)] [Variance P value ...] [2012-10-21 12:23:41] [57fcaae991493f873bcb4ee93ca06ef0] 
- R P               [Testing Variance - p-value (probability)] [Variance P value ...] [2012-10-23 07:35:07] [57fcaae991493f873bcb4ee93ca06ef0] 
- RMPD            [Testing Mean with known Variance - Sample Size] [Sample size van I...] [2012-10-21 12:44:22] [57fcaae991493f873bcb4ee93ca06ef0] 
- R                 [Testing Mean with known Variance - Sample Size] [Sample size van I...] [2012-10-21 12:49:14] [57fcaae991493f873bcb4ee93ca06ef0] 
- RM                  [Minimum Sample Size - Testing Mean] [Minimum sample size] [2012-10-21 13:03:09] [57fcaae991493f873bcb4ee93ca06ef0] 
- R P                   [Minimum Sample Size - Testing Mean] [Minimum sample size] [2012-10-23 14:45:08] [57fcaae991493f873bcb4ee93ca06ef0] 
- R                       [Minimum Sample Size - Testing Mean] [Workshop 4: Taak 11] [2012-10-23 18:11:59] [7bed0d115000febeef05f886574a3dac] 
- RMPD                      [Paired and Unpaired Two Samples Tests about the Mean] [] [2012-10-30 12:20:46] [c6861060a9fe16fe372e7d046f8d5b70] 
- R  D                        [Paired and Unpaired Two Samples Tests about the Mean] [] [2012-10-30 12:46:42] [c6861060a9fe16fe372e7d046f8d5b70] 
-    D                          [Paired and Unpaired Two Samples Tests about the Mean] [] [2012-10-30 12:58:08] [c6861060a9fe16fe372e7d046f8d5b70] 
-   PD                            [Paired and Unpaired Two Samples Tests about the Mean] [] [2012-10-30 13:16:14] [c6861060a9fe16fe372e7d046f8d5b70] 
-    D                              [Paired and Unpaired Two Samples Tests about the Mean] [] [2012-10-30 13:23:13] [c6861060a9fe16fe372e7d046f8d5b70] 
-    D                                [Paired and Unpaired Two Samples Tests about the Mean] [] [2012-10-30 13:27:16] [c6861060a9fe16fe372e7d046f8d5b70] 
- R                         [Minimum Sample Size - Testing Mean] [Paper - Deel 2: M...] [2012-12-14 09:41:26] [74be16979710d4c4e7c6647856088456] 
- R P               [Testing Mean with known Variance - Sample Size] [Sample size van I...] [2012-11-26 19:39:39] [57fcaae991493f873bcb4ee93ca06ef0] 

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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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180693&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=180693&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180693&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	'Gertrude Mary Cox' @ cox.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	33
Sample standard deviation	0.548758930347711
Confidence	0.95
Null hypothesis	0
Sample Mean	0.363636363636364
2-sided Confidence Interval	[ 0.16905490782782 , 0.558217819444908 ]
Left-sided Confidence Interval	[ 0.201824815066821 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.525447912205906 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 33 \tabularnewline
Sample standard deviation & 0.548758930347711 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.363636363636364 \tabularnewline
2-sided Confidence Interval & [ 0.16905490782782 , 0.558217819444908 ] \tabularnewline
Left-sided Confidence Interval & [ 0.201824815066821 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.525447912205906 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180693&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]33[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.548758930347711[/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]0.363636363636364[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.16905490782782 , 0.558217819444908 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.201824815066821 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.525447912205906 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=180693&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180693&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	33
Sample standard deviation	0.548758930347711
Confidence	0.95
Null hypothesis	0
Sample Mean	0.363636363636364
2-sided Confidence Interval	[ 0.16905490782782 , 0.558217819444908 ]
Left-sided Confidence Interval	[ 0.201824815066821 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.525447912205906 ]

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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