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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationMon, 17 Dec 2007 14:28:57 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/17/t11979261427d1t181mq3ue1y6.htm/, Retrieved Fri, 03 May 2024 18:48:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4433, Retrieved Fri, 03 May 2024 18:48:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPTMRMA
Estimated Impact198

Tree of Dependent Computations

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] [Paper - Testing m...] [2007-12-17 21:28:57] [e51d7ab0e549b3dc96ac85a81d9bd259] [Current]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Paper - Testing m...] [2008-12-27 13:08:50] [1aad2bd7746abaf3ab17fe0d80878872]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-0.385868851153837
4.81234262686034
-5.86804122114596
16.0725680225492
-8.57525163788969
5.08247518971098
0.092732021505415
3.83298655010795
5.81986266263392
37.1247698411582
-0.456916305824569
-3.62813490741323
-3.87648507892191
4.61958462101272
-12.967748044016
3.19886759717217
-5.74783565702396
-0.568909646003526
-7.15658094463292
-18.0497313555278
15.6314099338156
-18.6819481453537
-0.704909311621681
2.59171945848611
2.56763423323193
0.363060127151921
32.5587282582796
8.52568321864334
1.42269516052334
3.53469472344553
0.904411865388995
-1.1005444418027
13.3248076718110
-33.5907843348750
-0.845486516554237
42.0892768528428
-6.25360506437205
-11.0785340316643
-29.2902232669615
-11.1727173982373
13.9239510644368
13.5369579913798
-16.4941540115674
-9.38355957013267
-2.83541693438183
-2.88173330956316
6.18397479401454
3.71189006095175
3.17508248559435
-4.18249526402528
13.6042900329871
4.81933405297545
10.0482983006261
9.69015652302726
-13.6259654676286
2.81390485024080
2.39082408194279
9.1175078099302
14.2141474796521
3.49385172983141
5.51425675339953
-6.1504957612917
2.72297593670155
-11.1163190852539
-4.69675096946234
1.81576665288666
-10.4353591925503
6.036622781552

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4433&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4433&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4433&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size68
Sample standard deviation12.5142406645140
Confidence0.95
Null hypothesis0
Sample Mean1.01737644546483
2-sided Confidence Interval[ -2.01171511545185 , 4.0464680063815 ]
Left-sided Confidence Interval[ -1.51381066874287 , +inf ]
Right-sided Confidence Interval[ -inf, 3.54856355967252 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 68 \tabularnewline
Sample standard deviation & 12.5142406645140 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.01737644546483 \tabularnewline
2-sided Confidence Interval & [ -2.01171511545185 , 4.0464680063815 ] \tabularnewline
Left-sided Confidence Interval & [ -1.51381066874287 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  3.54856355967252 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4433&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]68[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]12.5142406645140[/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]1.01737644546483[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -2.01171511545185 , 4.0464680063815 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -1.51381066874287 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  3.54856355967252 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4433&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4433&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 size68
Sample standard deviation12.5142406645140
Confidence0.95
Null hypothesis0
Sample Mean1.01737644546483
2-sided Confidence Interval[ -2.01171511545185 , 4.0464680063815 ]
Left-sided Confidence Interval[ -1.51381066874287 , +inf ]
Right-sided Confidence Interval[ -inf, 3.54856355967252 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
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')