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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 computationFri, 12 Dec 2014 10:57:49 +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/12/t1418381888mno51jvit7lp42r.htm/, Retrieved Thu, 16 May 2024 12:09:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266498, Retrieved Thu, 16 May 2024 12:09:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86

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] [cnekjrbcv] [2014-12-12 10:57:49] [ec52aa8040970d621dae982cb6b68c16] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12,2

7,4
6,7
12,6

13,3
11,1
8,2
11,4
6,4
10,6



11,9

9,6

6,4
13,8

13,8
11,7
10,9
16,1

9,9



9
9,7
10,8
10,3

12,7
9,3

5,9
11,4
13
10,8
12,3

11,8
7,9

12,3
11,6
6,7
10,9
12,1
13,3
10,1

14,3

13,3
9,3


15,9

9,1

13
14,5




14,6


12,6


7,7



4,3

11,8
11,2



12,6
5,6
9,9

7,7

7,3
11,4
13,6
7,9
10,7

8,3
9,6
14,2






11,1
4,35
12,7
18,1
17,85

12,6
17,1

16,1


14,7
10,6
12,6
16,2
13,6
18,9
14,1
14,5

14,75
14,8
12,45
12,65
17,35
8,6

16,1
11,6
17,75
15,25
17,65


13,6


18,25

16
18,25

14,6
13,85
18,95




15,9

16,1

10,95

15,1


15,95

14,6
15,4
15,4
17,6
13,35

15,35



19,1

12,9




12,6
10,35
15,4
9,6


14,85




19,25
13,6


12,75

9,85
12,65
11,9
16,6
11,2
15,25



12,4
15,85

11,15



12,35
15,6



15,6
18,4



13,1
12,85
9,5
4,5

13,6
11,7
12,4


14,9

17,75
14,6

14,05

13,35
11,85

14,75

13,2

7,85


7,85
10,95

9,95
14,9

13,4


16,85
10,95

12,2


15,2


8,1

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.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=266498&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]'Sir Maurice George Kendall' @ kendall.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=266498&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266498&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'Sir Maurice George Kendall' @ kendall.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 size158
Sample standard deviation3.26913584199718
Confidence0.95
Null hypothesis13
Sample Mean12.5889240506329
2-sided Confidence Interval[ 12.0752198490549 , 13.102628252211 ]
Left-sided Confidence Interval[ 12.1585937619573 , +inf ]
Right-sided Confidence Interval[ -inf, 13.0192543393085 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 158 \tabularnewline
Sample standard deviation & 3.26913584199718 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 13 \tabularnewline
Sample Mean & 12.5889240506329 \tabularnewline
2-sided Confidence Interval & [ 12.0752198490549 , 13.102628252211 ] \tabularnewline
Left-sided Confidence Interval & [ 12.1585937619573 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  13.0192543393085 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266498&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]158[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.26913584199718[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]13[/C][/ROW]
[ROW][C]Sample Mean[/C][C]12.5889240506329[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 12.0752198490549 , 13.102628252211 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 12.1585937619573 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  13.0192543393085 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266498&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266498&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 size158
Sample standard deviation3.26913584199718
Confidence0.95
Null hypothesis13
Sample Mean12.5889240506329
2-sided Confidence Interval[ 12.0752198490549 , 13.102628252211 ]
Left-sided Confidence Interval[ 12.1585937619573 , +inf ]
Right-sided Confidence Interval[ -inf, 13.0192543393085 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.85 ; par2 = 13 ;
Parameters (R input):
par1 = 0.95 ; par2 = 13 ;
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')