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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 computationTue, 26 Oct 2010 08:27:22 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/26/t12880815451dhz21u1r1gvjlv.htm/, Retrieved Sat, 27 Apr 2024 16:04:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88841, Retrieved Sat, 27 Apr 2024 16:04:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Maximum-likelihood Fitting - Normal Distribution] [Intrinsic Motivat...] [2010-10-12 11:57:21] [b98453cac15ba1066b407e146608df68]
-   PD  [Maximum-likelihood Fitting - Normal Distribution] [WS3 - Intr2 fitdi...] [2010-10-17 20:45:33] [b11c112f8986de933f8b95cd30e75cc2]
F RMPD    [Testing Mean with unknown Variance - Critical Value] [WS4 - Question 2] [2010-10-24 13:36:22] [b11c112f8986de933f8b95cd30e75cc2]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-24 15:15:58] [ed939ef6f97e5f2afb6796311d9e7a5f]
-               [Testing Mean with unknown Variance - Critical Value] [W4] [2010-10-26 08:27:22] [476d588d86fe88306e0383abd6004235] [Current]
F                 [Testing Mean with unknown Variance - Critical Value] [T Treatment] [2010-10-26 11:13:25] [9b13650c94c5192ca5135ec8a1fa39f7]
-    D              [Testing Mean with unknown Variance - Critical Value] [Treatment E] [2010-10-26 11:25:24] [9b13650c94c5192ca5135ec8a1fa39f7]
-    D                [Testing Mean with unknown Variance - Critical Value] [Treatment S] [2010-10-26 11:31:48] [9b13650c94c5192ca5135ec8a1fa39f7]
F    D            [Testing Mean with unknown Variance - Critical Value] [ws4q2h1] [2010-10-26 14:15:21] [ca5ab8c53423c489dac59e1a1d654047]
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Dataset

Dataseries X:
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Histogram
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88841&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88841&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88841&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 time4 seconds
R Server'George Udny Yule' @ 72.249.76.132






Hypothesis Test about the Mean - Confidence Interval
Sample size37
Sample standard deviation0.505227924065224
Confidence0.95
Null hypothesis0
Sample Mean0.540540540540541
2-sided Confidence Interval[ 0.372089163913439 , 0.708991917167642 ]
Left-sided Confidence Interval[ 0.400312289797784 , +inf ]
Right-sided Confidence Interval[ -inf, 0.680768791283297 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 0.505227924065224 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.540540540540541 \tabularnewline
2-sided Confidence Interval & [ 0.372089163913439 , 0.708991917167642 ] \tabularnewline
Left-sided Confidence Interval & [ 0.400312289797784 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.680768791283297 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88841&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]37[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.505227924065224[/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]0.540540540540541[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.372089163913439 , 0.708991917167642 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.400312289797784 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.680768791283297 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88841&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88841&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 size37
Sample standard deviation0.505227924065224
Confidence0.95
Null hypothesis0
Sample Mean0.540540540540541
2-sided Confidence Interval[ 0.372089163913439 , 0.708991917167642 ]
Left-sided Confidence Interval[ 0.400312289797784 , +inf ]
Right-sided Confidence Interval[ -inf, 0.680768791283297 ]


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')