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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 computationSat, 17 Dec 2011 12:27:54 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/17/t13241429494na3ucj1x74f89j.htm/, Retrieved Tue, 16 Apr 2024 11:21:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156514, Retrieved Tue, 16 Apr 2024 11:21:31 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Cronbach Alpha] [Intrinsic Motivat...] [2010-10-12 11:40:37] [b98453cac15ba1066b407e146608df68]
- R  D  [Cronbach Alpha] [] [2011-10-18 12:27:58] [b98453cac15ba1066b407e146608df68]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [] [2011-11-29 15:11:23] [50e3859e0b739a5118d466e989dfc0cb]
-   P         [Testing Mean with unknown Variance - Critical Value] [] [2011-12-17 17:27:54] [b95d9398d16c17c54b557e3a52d461f1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41
39
30
31
34
35
39
34
36
37
38
36
38
39
33
32
36
38
39
32
32
31
39
37
39
41
36
33
33
34
31
27
37
34
34
32
29
36
29
35
37
34
38
35
38
37
38
33
36
38
32
32
32
34
32
37
39
29
37
35
30
38
34
31
34
35
36
30
39
35
38
31
34
38
34
39
37
34
28
37
33
37
35
37
32
33
38
33
29
33
31
36
35
32
29
39
37
35
37
32
38
37
36
32
33
40
38
41
36
43
30
31
32
32
37
37
33
34
33
38
33
31
38
37
33
31
39
44
33
35
32
28
40
27
37
32
28
34
30
35
31
32
30
30
31
40
32
36
32
35
38
42
34
35
35
33
36
32
33
34
32
34

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156514&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156514&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156514&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size162
Sample standard deviation3.37512904211326
Confidence0.95
Null hypothesis35
Sample Mean34.6234567901235
2-sided Confidence Interval[ 34.0997866960625 , 35.1471268841844 ]
Left-sided Confidence Interval[ 34.1847581144249 , +inf ]
Right-sided Confidence Interval[ -inf, 35.062155465822 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 162 \tabularnewline
Sample standard deviation & 3.37512904211326 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 35 \tabularnewline
Sample Mean & 34.6234567901235 \tabularnewline
2-sided Confidence Interval & [ 34.0997866960625 , 35.1471268841844 ] \tabularnewline
Left-sided Confidence Interval & [ 34.1847581144249 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  35.062155465822 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156514&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]162[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.37512904211326[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]35[/C][/ROW]
[ROW][C]Sample Mean[/C][C]34.6234567901235[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 34.0997866960625 , 35.1471268841844 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 34.1847581144249 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  35.062155465822 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156514&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156514&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 size162
Sample standard deviation3.37512904211326
Confidence0.95
Null hypothesis35
Sample Mean34.6234567901235
2-sided Confidence Interval[ 34.0997866960625 , 35.1471268841844 ]
Left-sided Confidence Interval[ 34.1847581144249 , +inf ]
Right-sided Confidence Interval[ -inf, 35.062155465822 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 35 ;
Parameters (R input):
par1 = 0.95 ; par2 = 35 ;
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')