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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 computationThu, 17 Dec 2015 21:01:22 +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/2015/Dec/17/t14503860997s5qvr4dqreddf7.htm/, Retrieved Thu, 16 May 2024 07:52:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286848, Retrieved Thu, 16 May 2024 07:52:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [spreiding inflatie] [2015-12-17 13:30:54] [d0eafe73d4e650d484ccdc89300f4861]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [hypothesetest] [2015-12-17 21:01:22] [f46b37d14f9c0e05137bdc83c34461d3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-8,5
-6,4
-12,9
-1,3
10,8
8,9
12,9
5,1
-3,3
8,0
8,8
17,7
18,9
17,0
8,0
-1,0
-11,6
-1,1
4,1
-0,5
8,7
8,1
4,1
4,7
-0,6
7,1
2,1
2,1
-0,7
6,9
2,6
2,6
6,1
4,4
5,8
6,5
6,6
2,7
4,9
3,1
0,2
3,3
5,2
5,6
-0,5
-0,2
5,4
4,6
5,6
3,2
-0,2
2,6
-1,9
4,6
7,3
4,2
3,5
3,5
4,2
3,7
1,9
-0,1
3,6
2,7
4,0
2,7
3,8
4,5
4,5
4,7
4,1
1,0
1,8
2,8
3,8
3,3
2,7
1,8
-0,3
-2,8
2,5
1,6
2,2
1,5
2,4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286848&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286848&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286848&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 time0 seconds
R Server'George Udny Yule' @ yule.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size85
Sample standard deviation4.99246350780361
Confidence0.97
Null hypothesis3.4
Sample Mean3.36470588235294
2-sided Confidence Interval[ 2.16928299602112 , 4.56012876868476 ]
Left-sided Confidence Interval[ 2.33230074515516 , +inf ]
Right-sided Confidence Interval[ -inf, 4.39711101955072 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 85 \tabularnewline
Sample standard deviation & 4.99246350780361 \tabularnewline
Confidence & 0.97 \tabularnewline
Null hypothesis & 3.4 \tabularnewline
Sample Mean & 3.36470588235294 \tabularnewline
2-sided Confidence Interval & [ 2.16928299602112 , 4.56012876868476 ] \tabularnewline
Left-sided Confidence Interval & [ 2.33230074515516 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  4.39711101955072 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286848&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]85[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.99246350780361[/C][/ROW]
[ROW][C]Confidence[/C][C]0.97[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]3.4[/C][/ROW]
[ROW][C]Sample Mean[/C][C]3.36470588235294[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 2.16928299602112 , 4.56012876868476 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 2.33230074515516 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  4.39711101955072 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286848&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286848&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 size85
Sample standard deviation4.99246350780361
Confidence0.97
Null hypothesis3.4
Sample Mean3.36470588235294
2-sided Confidence Interval[ 2.16928299602112 , 4.56012876868476 ]
Left-sided Confidence Interval[ 2.33230074515516 , +inf ]
Right-sided Confidence Interval[ -inf, 4.39711101955072 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ;
Parameters (R input):
par1 = 0.97 ; par2 = 3.4 ;
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')