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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, 13 Dec 2014 14:44:19 +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/13/t1418481906rvsvom5bwwoavvj.htm/, Retrieved Thu, 16 May 2024 17:54:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267130, Retrieved Thu, 16 May 2024 17:54:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72

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]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [] [2014-10-07 08:38:27] [32b17a345b130fdf5cc88718ed94a974]
- R PD        [Testing Mean with unknown Variance - Critical Value] [Onderzoeksvraag 2...] [2014-12-13 14:44:19] [f89ab3f0b580871a9b630460155ef2b6] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
23
22
19
25
16
28
21
22
24
24
20
21
27
23
24
22
21
25
21
27
25
23
25
19
22
19
21
27
25
25
17
28
20
25
21
24
28
20
19
21
23
18
20
23
24
27
23
19
23
26
23
26
22
20
27
22
21
24
26
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24
25
27
19
23
22
24
19
25
18
24
23
27
24
26
21
25
28
19
20
27
23
18
23
21
23
21
14
24
26
24
20
25
23
20
27
24
23
26
18
23
21
24
24
23
21
24
19
23
18
20
27
19
25
25
17
5
19
28
27
16
26
24
23
19
19
24
20
19
23
25
25
27
26
23
22
22
17
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24
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23
23
20
25
21
17
20
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23
21
24
25
21
16
22.52531646

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267130&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267130&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267130&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'Sir Maurice George Kendall' @ kendall.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size159
Sample standard deviation3.26604969283358
Confidence0.95
Null hypothesis20
Sample Mean22.5253164557233
2-sided Confidence Interval[ 22.0137387946803 , 23.0368941167663 ]
Left-sided Confidence Interval[ 22.0967626050249 , +inf ]
Right-sided Confidence Interval[ -inf, 22.9538703064217 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 159 \tabularnewline
Sample standard deviation & 3.26604969283358 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 22.5253164557233 \tabularnewline
2-sided Confidence Interval & [ 22.0137387946803 , 23.0368941167663 ] \tabularnewline
Left-sided Confidence Interval & [ 22.0967626050249 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  22.9538703064217 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267130&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]159[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.26604969283358[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]22.5253164557233[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 22.0137387946803 , 23.0368941167663 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 22.0967626050249 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  22.9538703064217 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267130&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267130&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 size159
Sample standard deviation3.26604969283358
Confidence0.95
Null hypothesis20
Sample Mean22.5253164557233
2-sided Confidence Interval[ 22.0137387946803 , 23.0368941167663 ]
Left-sided Confidence Interval[ 22.0967626050249 , +inf ]
Right-sided Confidence Interval[ -inf, 22.9538703064217 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.95 ; 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')