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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 12:19:22 +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/t1287749866ppwtxcu3wkahude.htm/, Retrieved Sun, 03 Dec 2023 04:59:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87420, Retrieved Sun, 03 Dec 2023 04:59:00 +0000

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IsPrivate?

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User-defined keywords

Estimated Impact

237

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] [Hypothesis Testing] [2010-10-22 12:19:22] [0cadca125c925bcc9e6efbdd1941e458] [Current]
F         [Testing Mean with unknown Variance - Critical Value] [question 2 worksh...] [2010-10-25 17:10:23] [6ff9fb24bdca608d2f4f1f9db3f6445e] 
F R  D      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 11:49:37] [22937c5b58c14f6c22964f32d64ff823] 
-   P         [Testing Mean with unknown Variance - Critical Value] [Verbetering w4 q2] [2010-10-29 13:25:40] [87d60b8864dc39f7ed759c345edfb471] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-27 17:13:22] [22937c5b58c14f6c22964f32d64ff823] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-27 17:18:53] [22937c5b58c14f6c22964f32d64ff823] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-27 17:23:44] [22937c5b58c14f6c22964f32d64ff823] 
F         [Testing Mean with unknown Variance - Critical Value] [Workshop 4 Q 2] [2010-10-25 17:57:25] [247f085ab5b7724f755ad01dc754a3e8] 
-   P     [Testing Mean with unknown Variance - Critical Value] [hypothese 1] [2010-10-25 19:42:05] [d6a5e6c1b0014d57cedb2bdfb4a7099f] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [hypothese 1] [2010-10-25 19:47:33] [d6a5e6c1b0014d57cedb2bdfb4a7099f] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [Hypothese 2] [2010-10-25 19:49:37] [d6a5e6c1b0014d57cedb2bdfb4a7099f] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [hypothese 3] [2010-10-25 19:52:59] [d6a5e6c1b0014d57cedb2bdfb4a7099f] 
- R  D    [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:52:50] [4cb9d9226ff0df1b8fdf89cde6bcc828] 
-         [Testing Mean with unknown Variance - Critical Value] [eperiment 1 : task 2] [2010-10-26 10:00:10] [18a20458ff88c9ba38344d123a9464bc] 
-           [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - expe...] [2010-10-26 13:09:43] [8d09066a9d3795298da6860e7d4a4400] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 15:38:11] [8441f95c4a5787a301bc621ebc7904ca] 
-   PD        [Testing Mean with unknown Variance - Critical Value] [Q2] [2011-10-20 16:17:21] [0f81819b439c6e991d1a2004e9982756] 
- R P           [Testing Mean with unknown Variance - Critical Value] [Q2] [2011-10-20 16:20:48] [0f81819b439c6e991d1a2004e9982756] 
-   PD            [Testing Mean with unknown Variance - Critical Value] [Q2 1] [2011-10-25 17:46:20] [0f81819b439c6e991d1a2004e9982756] 
-    D              [Testing Mean with unknown Variance - Critical Value] [Q2 1] [2011-10-25 17:49:42] [0f81819b439c6e991d1a2004e9982756] 
-    D                [Testing Mean with unknown Variance - Critical Value] [Q2 3] [2011-10-25 17:53:33] [0f81819b439c6e991d1a2004e9982756] 
-   PD          [Testing Mean with unknown Variance - Critical Value] [T1] [2011-10-20 16:25:08] [0f81819b439c6e991d1a2004e9982756] 
- R P             [Testing Mean with unknown Variance - Critical Value] [Q3 1] [2011-10-25 20:05:43] [0f81819b439c6e991d1a2004e9982756] 
-                   [Testing Mean with unknown Variance - Critical Value] [Q3 1] [2011-10-25 20:14:02] [0f81819b439c6e991d1a2004e9982756] 
-                     [Testing Mean with unknown Variance - Critical Value] [Q3 1] [2011-10-25 20:21:50] [0f81819b439c6e991d1a2004e9982756] 
-                       [Testing Mean with unknown Variance - Critical Value] [Q3 1] [2011-10-25 20:25:17] [0f81819b439c6e991d1a2004e9982756] 
-   PD          [Testing Mean with unknown Variance - Critical Value] [T2] [2011-10-20 16:27:10] [0f81819b439c6e991d1a2004e9982756] 
- R P             [Testing Mean with unknown Variance - Critical Value] [Q3 2] [2011-10-25 20:06:20] [0f81819b439c6e991d1a2004e9982756] 
-                   [Testing Mean with unknown Variance - Critical Value] [Q3 2] [2011-10-25 20:14:32] [0f81819b439c6e991d1a2004e9982756] 
-                     [Testing Mean with unknown Variance - Critical Value] [Q3 2] [2011-10-25 20:22:22] [0f81819b439c6e991d1a2004e9982756] 
-                       [Testing Mean with unknown Variance - Critical Value] [Q3 2] [2011-10-25 20:25:40] [0f81819b439c6e991d1a2004e9982756] 
-   PD          [Testing Mean with unknown Variance - Critical Value] [T3] [2011-10-20 16:27:54] [0f81819b439c6e991d1a2004e9982756] 
- R P             [Testing Mean with unknown Variance - Critical Value] [Q3 3] [2011-10-25 20:06:48] [0f81819b439c6e991d1a2004e9982756] 
-                   [Testing Mean with unknown Variance - Critical Value] [Q3 3] [2011-10-25 20:14:58] [0f81819b439c6e991d1a2004e9982756] 
-                     [Testing Mean with unknown Variance - Critical Value] [Q3 3] [2011-10-25 20:22:52] [0f81819b439c6e991d1a2004e9982756] 
-                       [Testing Mean with unknown Variance - Critical Value] [Q3 3] [2011-10-25 20:26:19] [0f81819b439c6e991d1a2004e9982756] 
-    D                    [Testing Mean with unknown Variance - Critical Value] [Q3 4] [2011-10-25 20:31:25] [0f81819b439c6e991d1a2004e9982756] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 20:25:28] [76e72a1b37cce9a27058d2e4927e5bf5] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [ws4 oef 1] [2010-10-26 20:29:59] [5278e0a58c5de897b31ce79607e774d7] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 21:39:18] [6e5489189f7de5cfbcc25dd35ae15009] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [Experiment 1, Que...] [2010-10-26 22:58:11] [b20a509e36241371274681d9edf773da] 
-         [Testing Mean with unknown Variance - Critical Value] [WS 4 Q2] [2010-10-26 10:01:03] [c2a9e95daa10045f9fd6252038bcb219] 
-         [Testing Mean with unknown Variance - Critical Value] [oefening 4.2] [2010-10-26 10:28:12] [814f53995537cd15c528d8efbf1cf544] 
F           [Testing Mean with unknown Variance - Critical Value] [ws 4 q3] [2010-10-26 16:42:25] [c1a9f1d6a1a56eda57b5ddd6daa7a288] 
-   P     [Testing Mean with unknown Variance - Critical Value] [WS4-Q2] [2010-10-26 23:20:59] [7e261c986c934df955dd3ac53e9d45c6] 
- R PD    [Testing Mean with unknown Variance - Critical Value] [] [2013-10-29 18:32:00] [6c2f6c6ea910808786c6eeaf4a8f7882] 
- R PD    [Testing Mean with unknown Variance - Critical Value] [] [2013-10-30 14:30:57] [6c2f6c6ea910808786c6eeaf4a8f7882] 
- R PD    [Testing Mean with unknown Variance - Critical Value] [] [2013-10-30 14:32:48] [6c2f6c6ea910808786c6eeaf4a8f7882] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [] [2013-10-30 14:35:12] [6c2f6c6ea910808786c6eeaf4a8f7882] 

[Truncated]

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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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87420&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87420&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87420&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	'George Udny Yule' @ 72.249.76.132

Hypothesis Test about the Mean - Confidence Interval
Sample size	105
Sample standard deviation	0.482856275873249
Confidence	0.95
Null hypothesis	NA
Sample Mean	0.638095238095238
2-sided Confidence Interval	[ 0.544650647911813 , 0.731539828278663 ]
Left-sided Confidence Interval	[ 0.559889889957816 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.71630058623266 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 105 \tabularnewline
Sample standard deviation & 0.482856275873249 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & NA \tabularnewline
Sample Mean & 0.638095238095238 \tabularnewline
2-sided Confidence Interval & [ 0.544650647911813 , 0.731539828278663 ] \tabularnewline
Left-sided Confidence Interval & [ 0.559889889957816 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.71630058623266 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87420&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]0.482856275873249[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]NA[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.638095238095238[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.544650647911813 , 0.731539828278663 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.559889889957816 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.71630058623266 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87420&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87420&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	0.482856275873249
Confidence	0.95
Null hypothesis	NA
Sample Mean	0.638095238095238
2-sided Confidence Interval	[ 0.544650647911813 , 0.731539828278663 ]
Left-sided Confidence Interval	[ 0.559889889957816 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.71630058623266 ]

Parameters (Session):

par1 = 0.95 ; par2 = 0,466666667 ;

Parameters (R input):

par1 = 0.95 ; par2 = 0,466666667 ;

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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