FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 17 Dec 2014 15:56:03 +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/t1418831805a549bid7iv6lmf1.htm/, Retrieved Wed, 15 May 2024 16:22:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270451, Retrieved Wed, 15 May 2024 16:22:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
- RMPD  [Kernel Density Estimation] [] [2011-10-18 22:42:23] [b98453cac15ba1066b407e146608df68]
- RMPD    [Percentiles] [] [2011-10-18 22:46:45] [b98453cac15ba1066b407e146608df68]
- RMPD      [Notched Boxplots] [] [2011-10-18 22:58:56] [b98453cac15ba1066b407e146608df68]
-    D        [Notched Boxplots] [] [2011-10-18 23:01:09] [b98453cac15ba1066b407e146608df68]
- RM            [Notched Boxplots] [] [2014-10-16 14:03:19] [4c4ebb0b36a379d1d949ba77427e658a]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:47:28] [6b382800c0d3804662889dbce999b8c7]
- R  D              [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:49:57] [6b382800c0d3804662889dbce999b8c7]
-    D                [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:51:44] [6b382800c0d3804662889dbce999b8c7]
-    D                  [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:53:27] [6b382800c0d3804662889dbce999b8c7]
-    D                      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:56:03] [6993448de96b8662e47595bfdf466bf3] [Current]
-    D                        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:57:58] [6b382800c0d3804662889dbce999b8c7]
-    D                          [Testing Mean with unknown Variance - Critical Value] [] [2014-12-17 15:59:20] [6b382800c0d3804662889dbce999b8c7]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
11
15

16



19






24
25
22

21

27


22




20

21
8
22





23


19





24


25







13

20


22
15

19

22


16
20
21
20


18

16

24
13

20
22
19

15


22
20
21



11

22





22



19
25
21
22
21
22





24


23

20
18








22






21





22
22
17

19
20
19

24


13



22
23
19
18

21

17

21

26
19

21





11

19
20
17

21

23
22
22
21




22
20

19
16
19
23


23
15

21



20



22
22
23


24


18
21
20


16
18
23


20
24
25




23



27
19

16



16

23


20

4

22

23
20


20


21

19
27


20

21
23

16
20



27




22

6
22

19

22
10

21


20
27
13

20




19

24

19
20
16
17
25
16



22
15
16
20
23




14

22


22

16
25
20
19
19
24

18
13




17


20
24
25
19

20
22
18
21
20
11



15
23

23





20
20
23
24
26

19
25

19
27

24


22

26

20



27


20




24

26
23

23


18
25




19




20
19

18


25

21

19
22




24
20

24

21








23

19
22







22



19




22


13
26




21

25

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'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=270451&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=270451&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270451&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'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 size217
Sample standard deviation3.81464309769502
Confidence0.95
Null hypothesis20.46
Sample Mean20.294930875576
2-sided Confidence Interval[ 19.7845289374291 , 20.805332813723 ]
Left-sided Confidence Interval[ 19.8671533550272 , +inf ]
Right-sided Confidence Interval[ -inf, 20.7227083961249 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 217 \tabularnewline
Sample standard deviation & 3.81464309769502 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20.46 \tabularnewline
Sample Mean & 20.294930875576 \tabularnewline
2-sided Confidence Interval & [ 19.7845289374291 , 20.805332813723 ] \tabularnewline
Left-sided Confidence Interval & [ 19.8671533550272 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.7227083961249 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270451&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]217[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.81464309769502[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20.46[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.294930875576[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.7845289374291 , 20.805332813723 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.8671533550272 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.7227083961249 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270451&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270451&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 size217
Sample standard deviation3.81464309769502
Confidence0.95
Null hypothesis20.46
Sample Mean20.294930875576
2-sided Confidence Interval[ 19.7845289374291 , 20.805332813723 ]
Left-sided Confidence Interval[ 19.8671533550272 , +inf ]
Right-sided Confidence Interval[ -inf, 20.7227083961249 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 0.95 ; par2 = 20.46 ;
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')