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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 computationThu, 17 Jan 2008 01:06:13 -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/2008/Jan/17/t1200556910i3umafo9dsvkejm.htm/, Retrieved Wed, 15 May 2024 23:54:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8016, Retrieved Wed, 15 May 2024 23:54:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact313

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 known Variance - Type II Error] [residuals] [2007-12-03 12:09:19] [8eeeb1b102d3219870922ae6f80f1f57]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [Hypothese_y] [2008-01-17 08:06:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-64.7052505627806

-3456.92146791498

1221.53818880044

-3425.92181819955

476.517449571596

771.237252580258

1486.03059810756

-1420.53604746731

-1231.65983588785

-1072.35237321869

-1028.79999310919

1689.70160953415

104.781462266857

3056.00468005053

2058.12890000085

-2120.15571952206

857.951846139995

-7653.62307012801

-3625.47032737070

-1066.78246083915

1480.43801029269

383.807285529813

-183.460775788262

-412.66366558563

-3386.49397717813

-868.872254604358

-4519.64765815746

3043.34922909291

4526.15618595789

2298.41482668304

1992.23133104446

1442.95792211978

-893.403718302956

3167.99873285149

231.403932376355

-534.568799433291

-3856.42358359645

-418.841481409176

-1376.94550043225

1524.94083007199

-6240.6385168242

512.555201154925

1722.16374385519

756.960403479329

2999.69977354755

-2634.01843507769

-1578.85998252178

78.6364326059933

-376.690663222133

992.978747098893

994.51938653588

-10.5193017588915

-921.573813091965

606.066588722763

1003.79725596858

1201.6546911613

1805.44593151825

596.116762365994

-1360.77445520603

3383.24617420951

-5515.05833999521

-2431.17906069741

4733.10028012447

4010.28330224708

-2898.76736676388

76.4283006144755

-2221.26939354851

2373.68897140019

-1244.72571223942

537.169792121625

2246.81073824300

864.588365965909

611.893000896821

-1922.54556007542

-2682.31131104567

86.6180766216501

2273.08966203739

3100.18749454311

-3642.00381742456

-661.164658428561

-728.23512638401

-3035.53289896783

585.916426040515

-2542.63265568714

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8016&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8016&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8016&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Hypothesis Test about the Mean - Confidence Interval
Sample size84
Sample standard deviation2389.80881913584
Confidence0.95
Null hypothesis0
Sample Mean-182.137441327565
2-sided Confidence Interval[ -700.757747894579 , 336.482865239448 ]
Left-sided Confidence Interval[ -615.873452314279 , +inf ]
Right-sided Confidence Interval[ -inf, 251.598569659148 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 84 \tabularnewline
Sample standard deviation & 2389.80881913584 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & -182.137441327565 \tabularnewline
2-sided Confidence Interval & [ -700.757747894579 , 336.482865239448 ] \tabularnewline
Left-sided Confidence Interval & [ -615.873452314279 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  251.598569659148 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8016&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]84[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]2389.80881913584[/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]-182.137441327565[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -700.757747894579 , 336.482865239448 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -615.873452314279 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  251.598569659148 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8016&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8016&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 size84
Sample standard deviation2389.80881913584
Confidence0.95
Null hypothesis0
Sample Mean-182.137441327565
2-sided Confidence Interval[ -700.757747894579 , 336.482865239448 ]
Left-sided Confidence Interval[ -615.873452314279 , +inf ]
Right-sided Confidence Interval[ -inf, 251.598569659148 ]


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')