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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 11:01:39 +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/t1418382133j1bet1gjnsriyf3.htm/, Retrieved Thu, 16 May 2024 03:52:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266503, Retrieved Thu, 16 May 2024 03:52:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75

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] [cjbljzrkcze] [2014-12-12 11:01:39] [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 Ronald Aylmer Fisher' @ fisher.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 Ronald Aylmer Fisher' @ fisher.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=266503&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 Ronald Aylmer Fisher' @ fisher.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=266503&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266503&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 Ronald Aylmer Fisher' @ fisher.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
Confidence0.88
Null hypothesis13
Sample Mean12.5889240506329
2-sided Confidence Interval[ 12.1823483486896 , 12.9954997525762 ]
Left-sided Confidence Interval[ 12.2821723741742 , +inf ]
Right-sided Confidence Interval[ -inf, 12.8956757270916 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 158 \tabularnewline
Sample standard deviation & 3.26913584199718 \tabularnewline
Confidence & 0.88 \tabularnewline
Null hypothesis & 13 \tabularnewline
Sample Mean & 12.5889240506329 \tabularnewline
2-sided Confidence Interval & [ 12.1823483486896 , 12.9954997525762 ] \tabularnewline
Left-sided Confidence Interval & [ 12.2821723741742 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  12.8956757270916 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266503&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]0.88[/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][ 12.1823483486896 , 12.9954997525762 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 12.2821723741742 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  12.8956757270916 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266503&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266503&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
Confidence0.88
Null hypothesis13
Sample Mean12.5889240506329
2-sided Confidence Interval[ 12.1823483486896 , 12.9954997525762 ]
Left-sided Confidence Interval[ 12.2821723741742 , +inf ]
Right-sided Confidence Interval[ -inf, 12.8956757270916 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.85 ; par2 = 13 ;
Parameters (R input):
par1 = 0.88 ; par2 = 13 ;
R code (references can be found in the software module):
par2 <- '13'
par1 <- '0.87'
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')