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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationTue, 26 Oct 2010 10:35:35 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/26/t1288089260wozr5peg28als3m.htm/, Retrieved Wed, 23 Apr 2025 01:31:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89006, Retrieved Wed, 23 Apr 2025 01:31:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact355

Tree of Dependent Computations

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]
F   PD    [Testing Mean with unknown Variance - Critical Value] [task 4: academic ...] [2010-10-22 07:53:14] [18a20458ff88c9ba38344d123a9464bc]
F    D      [Testing Mean with unknown Variance - Critical Value] [task 5: academic ...] [2010-10-22 08:06:35] [18a20458ff88c9ba38344d123a9464bc]
-   P           [Testing Mean with unknown Variance - Critical Value] [task 7] [2010-10-26 10:35:35] [1b6bbf3cf94635fe119752c144706ab0] [Current]
-   P             [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task 7] [2010-10-26 13:44:04] [8d09066a9d3795298da6860e7d4a4400]
-                   [Testing Mean with unknown Variance - Critical Value] [ws4 question7] [2010-11-11 17:47:44] [8b2514d8f13517d765015fc185a22b4b]
-   P             [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 16:44:27] [8441f95c4a5787a301bc621ebc7904ca]
-   P             [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 20:34:27] [76e72a1b37cce9a27058d2e4927e5bf5]
-   PD            [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 20:52:51] [5278e0a58c5de897b31ce79607e774d7]
-   P             [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 22:43:28] [6e5489189f7de5cfbcc25dd35ae15009]
-   PD            [Testing Mean with unknown Variance - Critical Value] [Academic Motivati...] [2010-10-26 23:41:43] [b20a509e36241371274681d9edf773da]
- R PD            [Testing Mean with unknown Variance - Critical Value] [WS4 - Q7M] [2011-10-25 21:24:14] [7e261c986c934df955dd3ac53e9d45c6]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19
25
17
22
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20
14
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11
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18

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89006&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89006&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89006&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size63
Sample standard deviation3.71225672258781
Confidence0.98
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.0418565993016 , 22.2756037181587 ]
Left-sided Confidence Interval[ 20.1775598117852 , +inf ]
Right-sided Confidence Interval[ -inf, 22.1399005056751 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.98 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.0418565993016 , 22.2756037181587 ] \tabularnewline
Left-sided Confidence Interval & [ 20.1775598117852 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  22.1399005056751 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89006&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.71225672258781[/C][/ROW]
[ROW][C]Confidence[/C][C]0.98[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.0418565993016 , 22.2756037181587 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.1775598117852 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  22.1399005056751 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89006&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89006&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size63
Sample standard deviation3.71225672258781
Confidence0.98
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.0418565993016 , 22.2756037181587 ]
Left-sided Confidence Interval[ 20.1775598117852 , +inf ]
Right-sided Confidence Interval[ -inf, 22.1399005056751 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.96 ; par2 = 20 ;
Parameters (R input):
par1 = 0.98 ; par2 = 20 ;
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')