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Author

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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Fri, 22 Oct 2010 14:33:44 +0000

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/2010/Oct/22/t1287757962ltra2ght4zyvuzs.htm/, Retrieved Mon, 29 Apr 2024 10:15:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87509, Retrieved Mon, 29 Apr 2024 10:15:55 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

204

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]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Q4 I1 equals 20 male] [2010-10-22 12:41:00] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RMPD      [Testing Mean with known Variance - Sample Size] [Sample size] [2010-10-22 13:36:15] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RM          [Testing Variance - Confidence Intervals for Sample Variance] [Variantie mannen] [2010-10-22 14:12:22] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RM D            [Testing Mean with unknown Variance - Critical Value] [Test treatment 1] [2010-10-22 14:33:44] [9ea95e194e0eb2a674315798620d5bc6] [Current]
-    D              [Testing Mean with unknown Variance - Critical Value] [Test treatment 2] [2010-10-22 14:36:53] [97ad38b1c3b35a5feca8b85f7bc7b3ff] 
-    D                [Testing Mean with unknown Variance - Critical Value] [Test treatment 3] [2010-10-22 14:39:37] [97ad38b1c3b35a5feca8b85f7bc7b3ff] 
-   P                   [Testing Mean with unknown Variance - Critical Value] [vraag 2c] [2010-10-25 21:04:28] [9f32078fdcdc094ca748857d5ebdb3de] 
-   P                   [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 21:05:12] [39c51da0be01189e8a44eb69e891b7a1] 
-   P                   [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:09:58] [dc30d19c3bc2be07fe595ad36c2cf923] 
F                         [Testing Mean with unknown Variance - Critical Value] [Treatment 3] [2010-10-26 16:33:02] [b659239b537e56f17142ee5c56ad6265] 
- R P                   [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-21 09:37:31] [3deae35ae8526e36953f595ad65f3a1f] 
-                         [Testing Mean with unknown Variance - Critical Value] [C4 Vr 2.3] [2011-10-24 17:36:25] [246430c28552f7bc561843533d7ec653] 
-   P                 [Testing Mean with unknown Variance - Critical Value] [vraag 2b] [2010-10-25 20:57:55] [9f32078fdcdc094ca748857d5ebdb3de] 
-   P                 [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 20:58:23] [39c51da0be01189e8a44eb69e891b7a1] 
- R PD                [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:07:28] [dc30d19c3bc2be07fe595ad36c2cf923] 
F                       [Testing Mean with unknown Variance - Critical Value] [Treatment 2] [2010-10-26 16:31:27] [b659239b537e56f17142ee5c56ad6265] 
- R P                 [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-21 09:35:50] [3deae35ae8526e36953f595ad65f3a1f] 
-                       [Testing Mean with unknown Variance - Critical Value] [C4 Vr 2.2] [2011-10-24 17:35:34] [246430c28552f7bc561843533d7ec653] 
-   P               [Testing Mean with unknown Variance - Critical Value] [vraag 2] [2010-10-25 20:51:22] [9f32078fdcdc094ca748857d5ebdb3de] 
- R                   [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (T)] [2010-10-26 22:29:52] [74be16979710d4c4e7c6647856088456] 
- R  D                [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (E)] [2010-10-26 22:33:37] [74be16979710d4c4e7c6647856088456] 
- R  D                [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (S)] [2010-10-26 22:37:56] [74be16979710d4c4e7c6647856088456] 
-    D                [Testing Mean with unknown Variance - Critical Value] [treatment wwe] [2010-12-11 12:13:20] [9f32078fdcdc094ca748857d5ebdb3de] 
- R  D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:37:30] [9f32078fdcdc094ca748857d5ebdb3de] 
-    D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:48:50] [9f32078fdcdc094ca748857d5ebdb3de] 
-    D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:48:50] [9f32078fdcdc094ca748857d5ebdb3de] 
-    D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:48:50] [9f32078fdcdc094ca748857d5ebdb3de] 
-   P               [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 20:52:00] [39c51da0be01189e8a44eb69e891b7a1] 
-    D                [Testing Mean with unknown Variance - Critical Value] [Treatment WWE] [2010-12-11 12:13:21] [39c51da0be01189e8a44eb69e891b7a1] 
- R  D                [Testing Mean with unknown Variance - Critical Value] [Treatment CSWE] [2010-12-11 12:38:13] [39c51da0be01189e8a44eb69e891b7a1] 
- R  D                [Testing Mean with unknown Variance - Critical Value] [Treatment C] [2010-12-11 12:47:57] [39c51da0be01189e8a44eb69e891b7a1] 
-   P               [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:03:27] [dc30d19c3bc2be07fe595ad36c2cf923] 
F                     [Testing Mean with unknown Variance - Critical Value] [Treatment 1] [2010-10-26 16:27:38] [b659239b537e56f17142ee5c56ad6265] 
- R P               [Testing Mean with unknown Variance - Critical Value] [Nulhypothes; geen...] [2010-10-26 10:05:38] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
-    D                [Testing Mean with unknown Variance - Critical Value] [Nulhypothese geen...] [2010-10-26 10:34:36] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
-    D                  [Testing Mean with unknown Variance - Critical Value] [Nulhypothese geen...] [2010-10-26 10:42:30] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
-   PD                  [Testing Mean with unknown Variance - Critical Value] [Q4 WS4] [2010-10-26 11:04:56] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
-    D                    [Testing Mean with unknown Variance - Critical Value] [Q5 WS4] [2010-10-26 11:10:19] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
-   P                       [Testing Mean with unknown Variance - Critical Value] [Q7 WS4] [2010-10-26 11:32:44] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
- RM                          [Population Mean Test] [Q7 WS4] [2010-10-26 12:05:20] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
- RM D                          [Testing Variance - Confidence Intervals for Sample Variance] [Q8 WS4 Mannen] [2010-10-26 12:14:15] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
-                                 [Testing Variance - Confidence Intervals for Sample Variance] [Q8 WS4 Vrouwen] [2010-10-26 12:16:08] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
- RMPD                [Testing Mean with known Variance - Sample Size] [Q9 WS4 ] [2010-10-26 13:51:17] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
-   P                   [Testing Mean with known Variance - Sample Size] [Q10 WS4] [2010-10-26 13:57:07] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
- RMP                   [Minimum Sample Size - Testing Mean] [Q11 WS4] [2010-10-26 14:01:17] [b84bdc9bd81e1f02ca0dcc4710c1b790] 
- R PD              [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-21 09:29:33] [3deae35ae8526e36953f595ad65f3a1f] 
-                     [Testing Mean with unknown Variance - Critical Value] [C4 Vr 2.1] [2011-10-24 17:34:27] [246430c28552f7bc561843533d7ec653] 
- R P               [Testing Mean with unknown Variance - Critical Value] [] [2011-10-21 16:09:14] [06c08141d7d783218a8164fd2ea166f2] 
- R P               [Testing Mean with unknown Variance - Critical Value] [Comp 4 deel 1] [2012-10-23 17:35:11] [8eb8d17c2ec8c4c2abfbcde955accee7] 
- R PD              [Testing Mean with unknown Variance - Critical Value] [Comp 4 deel 2] [2012-10-23 17:46:12] [8eb8d17c2ec8c4c2abfbcde955accee7] 
-    D                [Testing Mean with unknown Variance - Critical Value] [Comp 4 deel 3] [2012-10-23 17:47:18] [8eb8d17c2ec8c4c2abfbcde955accee7] 

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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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87509&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87509&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87509&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Hypothesis Test about the Mean - Confidence Interval
Sample size	37
Sample standard deviation	0.515524747966347
Confidence	0.95
Null hypothesis	0
Sample Mean	0.108108108108108
2-sided Confidence Interval	[ -0.063776400534094 , 0.27999261675031 ]
Left-sided Confidence Interval	[ -0.0349780717693694 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.251194287985586 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 0.515524747966347 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.108108108108108 \tabularnewline
2-sided Confidence Interval & [ -0.063776400534094 , 0.27999261675031 ] \tabularnewline
Left-sided Confidence Interval & [ -0.0349780717693694 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.251194287985586 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87509&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]37[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.515524747966347[/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]0.108108108108108[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.063776400534094 , 0.27999261675031 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.0349780717693694 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.251194287985586 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87509&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87509&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	37
Sample standard deviation	0.515524747966347
Confidence	0.95
Null hypothesis	0
Sample Mean	0.108108108108108
2-sided Confidence Interval	[ -0.063776400534094 , 0.27999261675031 ]
Left-sided Confidence Interval	[ -0.0349780717693694 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.251194287985586 ]

Parameters (Session):

par1 = 64 ; par2 = 9 ; par3 = 0.65 ;

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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Input Parameters & R Code