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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, 10 Dec 2014 17:08:25 +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/10/t1418231310r5fxuxpbre0vyx3.htm/, Retrieved Sun, 19 May 2024 14:12:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265517, Retrieved Sun, 19 May 2024 14:12:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact81

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Mean with unknown Variance - Critical Value] [] [2010-10-25 13:12:27] [b98453cac15ba1066b407e146608df68]
- RMP   [Testing Mean with unknown Variance - Critical Value] [] [2014-10-07 07:47:40] [32b17a345b130fdf5cc88718ed94a974]
- R       [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 11:16:02] [9b99fe494671b75fb711c2dc543f4e3e]
- R  D      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-10 14:54:48] [7b949ef3605c038fc6e10efeab34f433]
-   PD        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-10 16:44:30] [7b949ef3605c038fc6e10efeab34f433]
-    D          [Testing Mean with unknown Variance - Critical Value] [] [2014-12-10 16:58:15] [7b949ef3605c038fc6e10efeab34f433]
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2014-12-10 17:00:13] [7b949ef3605c038fc6e10efeab34f433]
-    D              [Testing Mean with unknown Variance - Critical Value] [] [2014-12-10 17:05:59] [7b949ef3605c038fc6e10efeab34f433]
-    D                  [Testing Mean with unknown Variance - Critical Value] [] [2014-12-10 17:08:25] [aa823bdb4d51626f3fbc68989a46faf3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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17
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4
24
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10
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18
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23
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26
24
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26
24
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24
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11
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28
14
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23
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27
16
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19
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10
11
16
13
14
12
15
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15
14
14
10
13
21
11
14
20
7
22
24
16
22
25
5
19
23
13
10
12
21
22
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17
20
13
9
22
15
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25
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9
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28
12
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8
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11
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10
22
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22
18
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18
6
17
12
12
19
23
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16
3
11
15
22
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21
25
12
14
24
12
13
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28
25
14
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18
23
16
15
5
19
22
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12
22
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24
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4
20
24
26
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9
22
18
16
19
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21
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9
26
28
13
16
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18
21
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15
15
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10
23
21
14
17
15
15
17
26
12
14
26
18
17
20
16
19
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20
19
25
19
15
12

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=265517&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=265517&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265517&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 size441
Sample standard deviation4.93241061754829
Confidence0.95
Null hypothesis0
Sample Mean18.8072562358277
2-sided Confidence Interval[ 18.345636595684 , 19.2688758759713 ]
Left-sided Confidence Interval[ 18.4201033204584 , +inf ]
Right-sided Confidence Interval[ -inf, 19.1944091511969 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 441 \tabularnewline
Sample standard deviation & 4.93241061754829 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 18.8072562358277 \tabularnewline
2-sided Confidence Interval & [ 18.345636595684 , 19.2688758759713 ] \tabularnewline
Left-sided Confidence Interval & [ 18.4201033204584 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  19.1944091511969 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265517&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]441[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.93241061754829[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]18.8072562358277[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 18.345636595684 , 19.2688758759713 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 18.4201033204584 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  19.1944091511969 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265517&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265517&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 size441
Sample standard deviation4.93241061754829
Confidence0.95
Null hypothesis0
Sample Mean18.8072562358277
2-sided Confidence Interval[ 18.345636595684 , 19.2688758759713 ]
Left-sided Confidence Interval[ 18.4201033204584 , +inf ]
Right-sided Confidence Interval[ -inf, 19.1944091511969 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 24 ;
Parameters (R input):
par1 = 0.95 ; par2 = 24 ;
R code (references can be found in the software module):
par2 <- '0'
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')