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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, 24 Dec 2010 15:04:06 +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/Dec/24/t1293202919bzpwnij900vay7z.htm/, Retrieved Tue, 30 Apr 2024 00:26:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115057, Retrieved Tue, 30 Apr 2024 00:26:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146

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] [Hypothese Paper] [2010-12-22 16:07:25] [1251ac2db27b84d4a3ba43449388906b]
-   P     [Testing Mean with unknown Variance - Critical Value] [] [2010-12-24 15:04:06] [4f70e6cd0867f10d298e58e8e27859b5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2
-4
-2
9
8
2
7
2
6
-7
5
5
1
-4
-4
5
7
4
3
0
3
4
0
1
0
3
-9
6
0
-1
-9
7
3
4
6
5
-4
7
7
3
6
6
-3
-4
2
6
3
2
-3
0
3
4
8
3
0
5
6
-1
-2
1
3
10
3
2
2
1
2
-1
-4
8
2
0
3
5
6
4
3
-2
-2
1
6
0
-1
10
9
7
4
-1
-1
3
1
10
5
-2
0
10
-3
3
-1
3
0
4
7
-5
0
1
0
3
9
1
2
3
3
4
3
0
2
5
3
-6
2
2
3
4
-4
-1
-5
5
-9
5
3
-9
1
-8
-5
-8
3
0
-5
3
2
3
0
-3
-6
-4
-5
3
1
0
-2
-2
2
-7
-6
0

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115057&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115057&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115057&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Hypothesis Test about the Mean - Confidence Interval
Sample size156
Sample standard deviation4.29870525066474
Confidence0.95
Null hypothesis0
Sample Mean1.42948717948718
2-sided Confidence Interval[ 0.749614501021955 , 2.10935985795240 ]
Left-sided Confidence Interval[ 0.859970924135455 , +inf ]
Right-sided Confidence Interval[ -inf, 1.99900343483890 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 156 \tabularnewline
Sample standard deviation & 4.29870525066474 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.42948717948718 \tabularnewline
2-sided Confidence Interval & [ 0.749614501021955 , 2.10935985795240 ] \tabularnewline
Left-sided Confidence Interval & [ 0.859970924135455 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.99900343483890 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115057&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]156[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.29870525066474[/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]1.42948717948718[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.749614501021955 , 2.10935985795240 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.859970924135455 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.99900343483890 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115057&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115057&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 size156
Sample standard deviation4.29870525066474
Confidence0.95
Null hypothesis0
Sample Mean1.42948717948718
2-sided Confidence Interval[ 0.749614501021955 , 2.10935985795240 ]
Left-sided Confidence Interval[ 0.859970924135455 , +inf ]
Right-sided Confidence Interval[ -inf, 1.99900343483890 ]


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')