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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 computationWed, 17 Dec 2014 13:06:17 +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/2014/Dec/17/t1418821587krx95obw4jl6kk8.htm/, Retrieved Thu, 16 May 2024 12:33:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270166, Retrieved Thu, 16 May 2024 12:33:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared and McNemar Tests] [] [2010-11-16 14:33:59] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 11:25:37] [95c11abf048d3a1e472aeccb09199113]
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 13:06:17] [d100ddac424efc880e37824ffef4fe9f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15
21
30
20
14
18
19
25
23
17
21
21
8
29
20
19
22
23
24
12
22
12
22
20
10
23
17
22
24
18
21
20
20
22
19
20
26
23
24
21
21
19
8
17
20
11
8
15
18
18
19
19
30
17
24
20
25
20
27
18
28
21
27
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28
25
21
22
28
20
29
20
20
23
18
18
19
25
25
25
24
19
26
10
17
13
17
30
4
16
21
22
20
22
23
16
0
18
25
18
18
24
29
15
22
23
24
22
15
17
20
27
26
23
23
15
26
22
18
15
22
27
10
20
17
23
19
13
27
23
16
25
2
26
20
22
24
18
21
24
19
24
19
17
20
21
21
21
16
27
15
21
18
22
20
17
21
23
18
22
24
27
20
27
20
20
21
26
25
18
21
16
25
20
27
20
18
26
18
16
18
21
18
25
20
23
22
10
18
25
23
22
23
19
14
26
17
15
21
20
22
20
26
26
20
24
20
15
25
20
27
20
17
22
24
22
16
22
23
19
20
15
22
12
15
27
24
18
18
25
12
19

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270166&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270166&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270166&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size232
Sample standard deviation4.8121896243233
Confidence0.95
Null hypothesis13.5
Sample Mean20.3577586206897
2-sided Confidence Interval[ 19.7352746727735 , 20.9802425686058 ]
Left-sided Confidence Interval[ 19.8359981210788 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8795191203005 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 232 \tabularnewline
Sample standard deviation & 4.8121896243233 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 13.5 \tabularnewline
Sample Mean & 20.3577586206897 \tabularnewline
2-sided Confidence Interval & [ 19.7352746727735 , 20.9802425686058 ] \tabularnewline
Left-sided Confidence Interval & [ 19.8359981210788 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.8795191203005 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270166&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]232[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.8121896243233[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]13.5[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.3577586206897[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.7352746727735 , 20.9802425686058 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.8359981210788 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.8795191203005 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270166&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270166&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 size232
Sample standard deviation4.8121896243233
Confidence0.95
Null hypothesis13.5
Sample Mean20.3577586206897
2-sided Confidence Interval[ 19.7352746727735 , 20.9802425686058 ]
Left-sided Confidence Interval[ 19.8359981210788 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8795191203005 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 13.75 ;
Parameters (R input):
par1 = 0.95 ; par2 = 13.75 ;
R code (references can be found in the software module):
par2 <- '13.5'
par1 <- '0.95'
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')