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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 computationFri, 19 Oct 2012 05:16:08 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/19/t1350638188a4obtp3ok7je1w7.htm/, Retrieved Mon, 29 Apr 2024 12:53:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=179965, Retrieved Mon, 29 Apr 2024 12:53:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86

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]
- R PD    [Testing Mean with unknown Variance - Critical Value] [WS4 taak 3.1] [2012-10-19 09:12:50] [3cf53fa4571e8f9aa5147d4ada4d99ce]
-    D        [Testing Mean with unknown Variance - Critical Value] [WS4 taak 3.2] [2012-10-19 09:16:08] [b978e7065c97f96318dd84fbbd850f19] [Current]
-    D          [Testing Mean with unknown Variance - Critical Value] [WS4 taak 3.bis] [2012-10-19 09:52:05] [3cf53fa4571e8f9aa5147d4ada4d99ce]
-   PD            [Testing Mean with unknown Variance - Critical Value] [WS4 taak 3.bis] [2012-10-19 09:55:43] [3cf53fa4571e8f9aa5147d4ada4d99ce]
-    D              [Testing Mean with unknown Variance - Critical Value] [WS4 taak 3.bis 2] [2012-10-19 09:57:57] [3cf53fa4571e8f9aa5147d4ada4d99ce]
-    D                [Testing Mean with unknown Variance - Critical Value] [WS4 taak 3.bis 3] [2012-10-19 09:58:50] [3cf53fa4571e8f9aa5147d4ada4d99ce]
- R PD                [Testing Mean with unknown Variance - Critical Value] [WS4 taak 4] [2012-10-19 10:08:29] [3cf53fa4571e8f9aa5147d4ada4d99ce]
- R PD                [Testing Mean with unknown Variance - Critical Value] [WS4 taak 5] [2012-10-19 10:12:07] [3cf53fa4571e8f9aa5147d4ada4d99ce]
- RMPD                [One Sample Tests about the Mean] [Ws4 taak 7] [2012-10-19 10:18:52] [3cf53fa4571e8f9aa5147d4ada4d99ce]
- R  D                  [One Sample Tests about the Mean] [Ws4 taak 7.2] [2012-10-19 10:23:09] [3cf53fa4571e8f9aa5147d4ada4d99ce]
- RM                    [Variability] [Sample variance M...] [2012-10-19 10:28:00] [3cf53fa4571e8f9aa5147d4ada4d99ce]
- R  D                    [Variability] [sample variance V...] [2012-10-19 10:29:57] [3cf53fa4571e8f9aa5147d4ada4d99ce]
- RM D                    [Testing Mean with known Variance - Sample Size] [Sample size] [2012-10-19 10:40:12] [3cf53fa4571e8f9aa5147d4ada4d99ce]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 

129
119
119
122


82


114

100
99
132
82

107
114
110


109
106
124

91



128
98

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'George Udny Yule' @ yule.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=179965&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=179965&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=179965&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'George Udny Yule' @ yule.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Hypothesis Test about the Mean - Confidence Interval
Sample size19
Sample standard deviation14.9474713776209
Confidence0.95
Null hypothesis100
Sample Mean109.736842105263
2-sided Confidence Interval[ 102.53239151582 , 116.941292694707 ]
Left-sided Confidence Interval[ 103.790416995936 , +inf ]
Right-sided Confidence Interval[ -inf, 115.68326721459 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 19 \tabularnewline
Sample standard deviation & 14.9474713776209 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 109.736842105263 \tabularnewline
2-sided Confidence Interval & [ 102.53239151582 , 116.941292694707 ] \tabularnewline
Left-sided Confidence Interval & [ 103.790416995936 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  115.68326721459 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=179965&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]19[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]14.9474713776209[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]109.736842105263[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 102.53239151582 , 116.941292694707 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 103.790416995936 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  115.68326721459 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=179965&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=179965&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 size19
Sample standard deviation14.9474713776209
Confidence0.95
Null hypothesis100
Sample Mean109.736842105263
2-sided Confidence Interval[ 102.53239151582 , 116.941292694707 ]
Left-sided Confidence Interval[ 103.790416995936 , +inf ]
Right-sided Confidence Interval[ -inf, 115.68326721459 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 100 ;
Parameters (R input):
par1 = 0.95 ; par2 = 100 ;
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')