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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 15:07:42 +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/t1418828980n06nz1a8y5dcw60.htm/, Retrieved Thu, 16 May 2024 09:38:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270382, Retrieved Thu, 16 May 2024 09:38:07 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60
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 20:57:31] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:00:59] [6b382800c0d3804662889dbce999b8c7]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:07:42] [6993448de96b8662e47595bfdf466bf3] [Current]
-    D        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:10:27] [6b382800c0d3804662889dbce999b8c7]
-    D          [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:12:19] [6b382800c0d3804662889dbce999b8c7]
- R             [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:31:00] [6b382800c0d3804662889dbce999b8c7]
- R  D            [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:32:33] [6b382800c0d3804662889dbce999b8c7]
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Dataseries X:
20

19
12
16

9
28
20
16
22
17



12

16

15
17

17
18
15
20

21



6
19
12
14
13

17
19

10
11
11
10
7

12
18

9
16
14
11
20
17
14

16

10
15


10

10

16
10




22
13

18

8


16



21

17
18



15
8
22

13

18
15
11
19
19

4
17
10






20
15
4
9
18

17
12

17


20
16
15
10
16
21
15
16

9
19
7
23
14
10

12
10
7
20
9



19



14

14
15

22
19
22




17

17

17

11


24

16
13
15
15
11

13



7

9




12
14
22
19


16




22
20


15

11
9
18

11
14
10



16
11

16
13



14
10



19
17



19
12
8
17

17
7
23


17

13
8
16

13

15
15

14

11

19


12
18

15
20

12


19
18

8


18


13
18
13

10
12
10
13

8


9

12


11

10
16



14

19
16
21
16

12

9






15
11
20





19
17
18
19

11

8
19

24






8


10
20
17
12

10
15




16






16
18
16


20

16
11
24
13
17





9


10


15

12
12

22

23

19
7
9

19
8

10
18
19
12

12


10

12
15


13
14
18
4

10
7
20
10


11

16
19

16

15


14
11
11
19


15

12

24
16
9
16
8
11
13
14

14


17
20
11
19
6
16
14

16
11
14

22
7
17
16

22
13


14
15
15
15

19

18
10




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=270382&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=270382&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270382&T=0

As an alternative you can also use a 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'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Hypothesis Test about the Mean - Confidence Interval
Sample size281
Sample standard deviation4.3836103447154
Confidence0.95
Null hypothesis12.21
Sample Mean14.6156583629893
2-sided Confidence Interval[ 14.1008944007098 , 15.1304223252689 ]
Left-sided Confidence Interval[ 14.1840942538926 , +inf ]
Right-sided Confidence Interval[ -inf, 15.0472224720861 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 281 \tabularnewline
Sample standard deviation & 4.3836103447154 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 12.21 \tabularnewline
Sample Mean & 14.6156583629893 \tabularnewline
2-sided Confidence Interval & [ 14.1008944007098 , 15.1304223252689 ] \tabularnewline
Left-sided Confidence Interval & [ 14.1840942538926 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  15.0472224720861 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270382&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]281[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.3836103447154[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]12.21[/C][/ROW]
[ROW][C]Sample Mean[/C][C]14.6156583629893[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 14.1008944007098 , 15.1304223252689 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 14.1840942538926 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  15.0472224720861 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270382&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270382&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size281
Sample standard deviation4.3836103447154
Confidence0.95
Null hypothesis12.21
Sample Mean14.6156583629893
2-sided Confidence Interval[ 14.1008944007098 , 15.1304223252689 ]
Left-sided Confidence Interval[ 14.1840942538926 , +inf ]
Right-sided Confidence Interval[ -inf, 15.0472224720861 ]



Parameters (Session):
Parameters (R input):
par1 = 0.95 ; par2 = 12.21 ;
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')