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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 computationSun, 14 Dec 2014 16:32:50 +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/14/t1418574782ne04lpnyf8hqssk.htm/, Retrieved Sun, 19 May 2024 13:20:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267744, Retrieved Sun, 19 May 2024 13:20:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89
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 13:26:31] [b98453cac15ba1066b407e146608df68]
- RMP   [Testing Mean with unknown Variance - Critical Value] [] [2014-10-07 07:53:21] [32b17a345b130fdf5cc88718ed94a974]
- R PD    [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:43:29] [fa1b8827d7de91b8b87087311d3d9fa1]
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 16:30:52] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D          [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 16:32:50] [921bde233b8ec180d9061abb09deed53] [Current]
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Dataseries X:
21

19



19






17
17
14

20

15


20




18

15
14
19




7


23





22


15







19

7


22
18

19

17


17
23
19
21

13

14

18
11

19
12
21

9


20
22
16



20

19





17



11
8
14
18
16
18





27


20

16
16








17






21





21
20

15
6

16


18



21
24
16
25

17

24

25

18
20

18





16

18
23
16

18

24
24
24
23




11
15

22
3
15
19


16
18

20


0



11
17
23




26
17
13


16
21
14


17
4
18




21



21
16

24


15

20


17

13

23

20
16


24


16

18
13


14

1
24

20
20



20




21

6
17

15

19
18



14
18
21

14



16

23

16
18
16
15
13
14



18
14
19
22
15




9

16


14

17
14
19
14
15
22

19
14




19


16
19
20
15

12
19
16
19
18
14



21
18

20





17
14
20
24
19

12
19

24
21

18


13

17

19



19


24




22

17
16

21


12
23




11




20
20

9


23

22

21
16




15
14

11
16








23

18
22







22



18




19


15
19




17

14






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
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 & 'Gertrude Mary Cox' @ cox.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=267744&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]
[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=267744&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267744&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'Gertrude Mary Cox' @ cox.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 size212
Sample standard deviation4.4705035453948
Confidence0.95
Null hypothesis14.5
Sample Mean17.4009433962264
2-sided Confidence Interval[ 16.7956934380445 , 18.0061933544083 ]
Left-sided Confidence Interval[ 16.893687901977 , +inf ]
Right-sided Confidence Interval[ -inf, 17.9081988904759 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 212 \tabularnewline
Sample standard deviation & 4.4705035453948 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 14.5 \tabularnewline
Sample Mean & 17.4009433962264 \tabularnewline
2-sided Confidence Interval & [ 16.7956934380445 , 18.0061933544083 ] \tabularnewline
Left-sided Confidence Interval & [ 16.893687901977 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  17.9081988904759 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267744&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]212[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.4705035453948[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]14.5[/C][/ROW]
[ROW][C]Sample Mean[/C][C]17.4009433962264[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 16.7956934380445 , 18.0061933544083 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 16.893687901977 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  17.9081988904759 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267744&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267744&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 size212
Sample standard deviation4.4705035453948
Confidence0.95
Null hypothesis14.5
Sample Mean17.4009433962264
2-sided Confidence Interval[ 16.7956934380445 , 18.0061933544083 ]
Left-sided Confidence Interval[ 16.893687901977 , +inf ]
Right-sided Confidence Interval[ -inf, 17.9081988904759 ]



Parameters (Session):
par1 = 0.95 ; par2 = 14.5 ;
Parameters (R input):
par1 = 0.95 ; par2 = 14.5 ;
R code (references can be found in the software module):
par2 <- '14.5'
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')