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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 computationSat, 29 Dec 2012 05:49:14 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/29/t1356778162ufouj6copq0575e.htm/, Retrieved Thu, 02 May 2024 02:45:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=204863, Retrieved Thu, 02 May 2024 02:45:36 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [One Sample Tests about the Mean] [] [2012-11-27 07:45:38] [b98453cac15ba1066b407e146608df68]
- RMP     [Testing Mean with unknown Variance - Critical Value] [] [2012-12-29 10:49:14] [7338cd26db379c04f0557b08db763c32] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
31
27
34
35
37
40
30
28
28
32
33
28
25
34
30
38
28
35
33
39
30
31
33
30
24
31
27
26
33
33
26
35
26
30
28
27
34
29
28
32
26
29
25
37
24
24
23
31
26
31
31
25
23
31
38
18
29
28
30
28
23
25
27
20
35
19
24
24
29
26
28
32
28
23
27
31
24
23
26
32
20
29
28
27
20
21
31
21
21
24
29
26
29
27
32
26
18
25
19
27
14
16
25
26
25
24
29
10
24
22
22
10
24
24
33
27
24
25
24
16
37
28
20
24
24
30
26
20
23
12
24
16
26
11
25
3
24
34
26
29
26
1
29
10
8
10
23
15
12
24
3
6
21
24
14
1
15
21
0
0
18
0
4
0
0
0
0
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'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204863&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204863&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204863&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'Gwilym Jenkins' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size168
Sample standard deviation9.14605999645731
Confidence0.99
Null hypothesis30
Sample Mean23.8809523809524
2-sided Confidence Interval[ 22.0423605073048 , 25.7195442546 ]
Left-sided Confidence Interval[ 22.2235001843392 , +inf ]
Right-sided Confidence Interval[ -inf, 25.5384045775656 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 168 \tabularnewline
Sample standard deviation & 9.14605999645731 \tabularnewline
Confidence & 0.99 \tabularnewline
Null hypothesis & 30 \tabularnewline
Sample Mean & 23.8809523809524 \tabularnewline
2-sided Confidence Interval & [ 22.0423605073048 , 25.7195442546 ] \tabularnewline
Left-sided Confidence Interval & [ 22.2235001843392 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  25.5384045775656 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204863&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]168[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]9.14605999645731[/C][/ROW]
[ROW][C]Confidence[/C][C]0.99[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]30[/C][/ROW]
[ROW][C]Sample Mean[/C][C]23.8809523809524[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 22.0423605073048 , 25.7195442546 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 22.2235001843392 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  25.5384045775656 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204863&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204863&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 size168
Sample standard deviation9.14605999645731
Confidence0.99
Null hypothesis30
Sample Mean23.8809523809524
2-sided Confidence Interval[ 22.0423605073048 , 25.7195442546 ]
Left-sided Confidence Interval[ 22.2235001843392 , +inf ]
Right-sided Confidence Interval[ -inf, 25.5384045775656 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.99 ; par2 = 30 ;
Parameters (R input):
par1 = 0.99 ; par2 = 30 ;
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')