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 computationSun, 14 Dec 2014 17:22:35 +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/t1418577763zx7bdcfc9566bk9.htm/, Retrieved Thu, 16 May 2024 12:34:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267763, Retrieved Thu, 16 May 2024 12:34:11 +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)
-     [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 17:21:21] [ccd66b5a2d6b0dd8c147f526ae5cbd1f]
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 17:22:35] [921bde233b8ec180d9061abb09deed53] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21
21
19
16
22
12
19
20
20
18
20
14
18
17
17

19
20

15
14
21
20
17
23
9


20
15
14
19
23
18
20
18
7

21
23
21
21
21
21

22
13

15



18

16
25

11


26
22
18
18
19

17
18
15

23
19


13
25
14

18

23
































21
20
19
22


25
20
22
16
16
21
17
15
19
14

23
22
17
17
14
17
18
21
19
21
18

18
3
21
21
20
13
15
6
22
16
22
21
18


25
21




17
20









23
23

19
16

18


22













22



22

16

17

14




21
11

23
11

21


17

27
14
16

14

21
17
4
18

18
4
22

15
3

21





15
18
20
17
22
17


25


20

















20


19
14
20
20
25
26
18
21
17
6
17
25

24

18
17
20
22
14
18
21
18
14
14
18
25
16
21
23
26
16
18
16
15
13
14
15
20
12
18
14
19

15



12
9
12

18
18
14
14

14

14
15
22



18
23
25

19
19
25
16
19
20

19
12



18
14




18


21

16

17

14
20



12

20

21



20

17
17

19

22




24
22
24
15
14
22
24



21
18

12
23

14

19
11

14


20
20
22



23
13






21
18

14

11
16


15
18
15
11








21

24
20

22
22
20




23
16
19





18
18
15




24

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'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 & 1 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=267763&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]'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=267763&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267763&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'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 size265
Sample standard deviation4.23933768304106
Confidence0.95
Null hypothesis14.5
Sample Mean18.1132075471698
2-sided Confidence Interval[ 17.6004421682588 , 18.6259729260808 ]
Left-sided Confidence Interval[ 17.6833456067403 , +inf ]
Right-sided Confidence Interval[ -inf, 18.5430694875993 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 265 \tabularnewline
Sample standard deviation & 4.23933768304106 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 14.5 \tabularnewline
Sample Mean & 18.1132075471698 \tabularnewline
2-sided Confidence Interval & [ 17.6004421682588 , 18.6259729260808 ] \tabularnewline
Left-sided Confidence Interval & [ 17.6833456067403 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  18.5430694875993 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267763&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]265[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.23933768304106[/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]18.1132075471698[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 17.6004421682588 , 18.6259729260808 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 17.6833456067403 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  18.5430694875993 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267763&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267763&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 size265
Sample standard deviation4.23933768304106
Confidence0.95
Null hypothesis14.5
Sample Mean18.1132075471698
2-sided Confidence Interval[ 17.6004421682588 , 18.6259729260808 ]
Left-sided Confidence Interval[ 17.6833456067403 , +inf ]
Right-sided Confidence Interval[ -inf, 18.5430694875993 ]


Figures (Output of Computation)

Input Parameters & R Code

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')