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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 computationThu, 11 Nov 2010 23:58:07 +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/Nov/12/t1289519767hrkq6m9helpcltd.htm/, Retrieved Tue, 30 Apr 2024 18:17:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=93919, Retrieved Tue, 30 Apr 2024 18:17:03 +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)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2010-11-11 23:58:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2016
19
16
23
12
19
16
13
20
27
8
13
15
5
14
24
24
9
19
19
18
12
25
19
20
24
12
17
16
11
20
11
20
19
17
18
17
27
19
19
11
22
20
24
16
16
11
20
20
12
8
21
18
16
18
20
20
17
15
17
23
19
17
12
24
18
20
16
20
22
16
17
12
14
23
15
17
28
23
13
19
13
22
20
10
17
18
23
17
19
18
22
16
16
16
16
18
18
17
19
20
17
25
26
19
16
19
25
15
12
21
15
28
26
25
12
15
14
22
21
23
25
22
24
20
22
16
22
24
16
27
20
27
24
19
16
26
22
21
14
12
22
20
18
23
23
12
16
23
18
23
15
17
22
20
20
20
22
18
17

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93919&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93919&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93919&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' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size160
Sample standard deviation157.977289064165
Confidence0.05
Null hypothesis20
Sample Mean31.00625
2-sided Confidence Interval[ 30.2218552247661 , 31.7906447752339 ]
Left-sided Confidence Interval[ 10.3429475952057 , +inf ]
Right-sided Confidence Interval[ -inf, 51.6695524047943 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 160 \tabularnewline
Sample standard deviation & 157.977289064165 \tabularnewline
Confidence & 0.05 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 31.00625 \tabularnewline
2-sided Confidence Interval & [ 30.2218552247661 , 31.7906447752339 ] \tabularnewline
Left-sided Confidence Interval & [ 10.3429475952057 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  51.6695524047943 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93919&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]160[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]157.977289064165[/C][/ROW]
[ROW][C]Confidence[/C][C]0.05[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]31.00625[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 30.2218552247661 , 31.7906447752339 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 10.3429475952057 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  51.6695524047943 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93919&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93919&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 size160
Sample standard deviation157.977289064165
Confidence0.05
Null hypothesis20
Sample Mean31.00625
2-sided Confidence Interval[ 30.2218552247661 , 31.7906447752339 ]
Left-sided Confidence Interval[ 10.3429475952057 , +inf ]
Right-sided Confidence Interval[ -inf, 51.6695524047943 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.05 ; par2 = 20 ;
Parameters (R input):
par1 = 0.05 ; par2 = 20 ;
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')