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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 10:31:33 +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/t1418380301ivkalib34e53esp.htm/, Retrieved Thu, 16 May 2024 11:22:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266481, Retrieved Thu, 16 May 2024 11:22:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94

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] [zefjhlzkefhju] [2014-12-12 10:31:33] [ec52aa8040970d621dae982cb6b68c16] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12,9

12,8



14,8






12
6,3
11,3

9,3

10


10,8




13,4

11,5
8,3
11,7




10,4


11,8





11,3


12,7







5,7

8


12,5
7,6

9,2

11,1


12,2
12,3
11,4
8,8

12,6
13

13,2
9,9

10,5
13,4
10,9

10,3


11,4
8,6
13,2



8,8

9





10,3



8,5
13,5
4,9
6,4
9,6
11,6





16,6


19,1

13,35
18,4








16,15






18,4





15,6
17,65

11,7
14,75

9,9


16,85



15,6
14,85
11,75
18,45

17,1

19,9

18,45

15
11,35

18,1





19,1

7,6
13,4
13,9

15,25

16,1
17,35
13,15
12,15




18,2
13,6

14,75
14,1
14,9
16,25


13,6
15,65

14,6






11,9
13,2
16,35


14,35

15,65
17,75
7,65


19,3
15,2
17,1


19,05
18,55
19,1




11,85



13,35
11,4

19,9


17,6

16,1


11,95

15,15

16,85

7,7
12,6


12,35


16,65

13,95
15,7


15,35

15,1
17,75

14,6
16,65

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'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 & 1 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=266481&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]'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=266481&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266481&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'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 size120
Sample standard deviation3.45317109064009
Confidence0.98
Null hypothesis13
Sample Mean13.4170833333333
2-sided Confidence Interval[ 12.6737419343647 , 14.160424732302 ]
Left-sided Confidence Interval[ 12.7625068182388 , +inf ]
Right-sided Confidence Interval[ -inf, 14.0716598484279 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 120 \tabularnewline
Sample standard deviation & 3.45317109064009 \tabularnewline
Confidence & 0.98 \tabularnewline
Null hypothesis & 13 \tabularnewline
Sample Mean & 13.4170833333333 \tabularnewline
2-sided Confidence Interval & [ 12.6737419343647 , 14.160424732302 ] \tabularnewline
Left-sided Confidence Interval & [ 12.7625068182388 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  14.0716598484279 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266481&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]120[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.45317109064009[/C][/ROW]
[ROW][C]Confidence[/C][C]0.98[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]13[/C][/ROW]
[ROW][C]Sample Mean[/C][C]13.4170833333333[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 12.6737419343647 , 14.160424732302 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 12.7625068182388 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  14.0716598484279 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266481&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266481&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 size120
Sample standard deviation3.45317109064009
Confidence0.98
Null hypothesis13
Sample Mean13.4170833333333
2-sided Confidence Interval[ 12.6737419343647 , 14.160424732302 ]
Left-sided Confidence Interval[ 12.7625068182388 , +inf ]
Right-sided Confidence Interval[ -inf, 14.0716598484279 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.98 ; par2 = 13 ;
Parameters (R input):
par1 = 0.98 ; 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')