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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, 21 Jan 2008 10:54:27 -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/21/t12009377339mc5f6si360w5ma.htm/, Retrieved Wed, 15 May 2024 14:06:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8040, Retrieved Wed, 15 May 2024 14:06:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKlaas Van Pelt
Estimated Impact272

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] [Hyp] [2008-01-21 17:54:27] [6abd901c2e17b7d5559c695bbff3d863] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-91.1475791030107 
3190.42180503223 
185.862605252137 
1550.17928222182 
-4051.53466892196 
-4004.1469034324 
-2204.90421033094 
-3175.02179676197 
1617.67360074152 
-2295.61084112079 
-2267.28881152434 
-178.308096584080 
-2907.55001941824 
-1216.53734921381 
48.5092400249178 
-1514.62908371032 
-1870.08923636928 
1737.07276264525 
1322.68307094671 
1531.26030628704 
3529.536136408 
1083.53779125802 
114.816768829857 
4962.3367137392 
-4410.15761457681 
-705.030349962284 
5667.18502395077 
1692.68355190490 
-385.471443157229 
2226.52946084297 
-2876.4779008572 
1925.6448223277 
-163.367556720991 
-438.55153453541 
3334.65989098450 
982.184861050696 
1029.03345213034 
-513.875854018738 
-2510.83330372982 
-40.1510898266841 
706.29012138126 
2780.73665444619 
-1915.73938576603 
461.574896705557 
-194.41601170322 
-4379.00588135181 
401.364395856297 
-3520.92308360079 
4320.31714492519 
1061.20811234363 
918.831327257089 
-3585.968081328 
5000.39576505044 
-1487.92693874835 
1216.74262983933 
99.3537263031683 
-1778.52956044609 
1253.83574142802 
-636.914399484525 
-1370.94420414171 
829.700192929427 
1312.98017076556 
1055.28939393764 
1642.24197042200 
243.858906129592 
-162.001034384922 
1636.89305297192 
-431.237688133459

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=8040&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=8040&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8040&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 deviation2279.00479488183
Confidence0.95
Null hypothesis0
Sample Mean79.2519681809658
2-sided Confidence Interval[ -472.384713303077 , 630.888649665009 ]
Left-sided Confidence Interval[ -381.709885172239 , +inf ]
Right-sided Confidence Interval[ -inf, 540.213821534171 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 68 \tabularnewline
Sample standard deviation & 2279.00479488183 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 79.2519681809658 \tabularnewline
2-sided Confidence Interval & [ -472.384713303077 , 630.888649665009 ] \tabularnewline
Left-sided Confidence Interval & [ -381.709885172239 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  540.213821534171 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8040&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]2279.00479488183[/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]79.2519681809658[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -472.384713303077 , 630.888649665009 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -381.709885172239 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  540.213821534171 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8040&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8040&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 deviation2279.00479488183
Confidence0.95
Null hypothesis0
Sample Mean79.2519681809658
2-sided Confidence Interval[ -472.384713303077 , 630.888649665009 ]
Left-sided Confidence Interval[ -381.709885172239 , +inf ]
Right-sided Confidence Interval[ -inf, 540.213821534171 ]


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')