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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 14:50:23 +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/t1418828064z4th6uvkg5h0f32.htm/, Retrieved Thu, 31 Oct 2024 22:47:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270361, Retrieved Thu, 31 Oct 2024 22:47:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
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 14:24:53] [6b382800c0d3804662889dbce999b8c7]
-    D    [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 14:30:24] [6b382800c0d3804662889dbce999b8c7]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 14:40:23] [6b382800c0d3804662889dbce999b8c7]
-    D        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 14:44:05] [6b382800c0d3804662889dbce999b8c7]
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 14:50:23] [6993448de96b8662e47595bfdf466bf3] [Current]
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Dataseries X:
19

24
15
17

19
28
26
15
26
16



15

22

26
26

21
22
20
21

22



18
20
24
17
20

20
22

15
20
22
17
14

17
23

16
18
20
18
23
24
23

20

19
22


17

20

21
21




23
15

22

17


19



21

21
24



19
14
25

17

20
22
15
23
20

16
25
18






23
20
6
15
18

22
21

20


25
16
20
14
22
26
20
17

22
20
17
22
17
22

25
11
19
24
17



26



21

21
19

24
28
27




23

22

15

20


28

19
22
21
20
19

17



21

12




20
18
21
24


17




8
22


17

25
18
23

21
21
24



17
15

22
19



19
19



22
23



25
20
23
21

23
11
21


21

22
21
22

18

24
20

18

14

17


18
19

15
24

19


23
23

17


22


16
21
19

13
17
18
20

18


15

17


21

23
18



20

22
20
24
23

22

21






23
20
23





24
17
19
25

18

15
27

26






14


19
25
20
17

13
20




20






18
22
21


18

19
23
26
19
26





23


23


23

20
16

26

24

20
12
21

26
17

18
28
24
24

12


13

16
23


18
18
21
7

21
17
22
15


10

25
23

23

23


23
15
23
23


23

17

19
23
22
14
19
21
23


19


26
22
24
24
11
21
21

22
19
18

27
14
15
20

26
20


19
20
18
20

26

20
21




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=270361&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=270361&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270361&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 size280
Sample standard deviation3.82218709423122
Confidence0.95
Null hypothesis18.89
Sample Mean20.0857142857143
2-sided Confidence Interval[ 19.636070045125 , 20.5353585263036 ]
Left-sided Confidence Interval[ 19.7087461604155 , +inf ]
Right-sided Confidence Interval[ -inf, 20.462682411013 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 280 \tabularnewline
Sample standard deviation & 3.82218709423122 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 18.89 \tabularnewline
Sample Mean & 20.0857142857143 \tabularnewline
2-sided Confidence Interval & [ 19.636070045125 , 20.5353585263036 ] \tabularnewline
Left-sided Confidence Interval & [ 19.7087461604155 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.462682411013 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270361&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]280[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.82218709423122[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]18.89[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.0857142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.636070045125 , 20.5353585263036 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.7087461604155 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.462682411013 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270361&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270361&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 size280
Sample standard deviation3.82218709423122
Confidence0.95
Null hypothesis18.89
Sample Mean20.0857142857143
2-sided Confidence Interval[ 19.636070045125 , 20.5353585263036 ]
Left-sided Confidence Interval[ 19.7087461604155 , +inf ]
Right-sided Confidence Interval[ -inf, 20.462682411013 ]



Parameters (Session):
Parameters (R input):
par1 = 0.95 ; par2 = 18.89 ;
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')