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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 10:49:33 +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/t1418381633l9go840f4p5vqx8.htm/, Retrieved Thu, 31 Oct 2024 22:51:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266493, Retrieved Thu, 31 Oct 2024 22:51:02 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
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] [bgzrbr] [2014-12-12 10:49:33] [ec52aa8040970d621dae982cb6b68c16] [Current]
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Dataseries X:
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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.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=266493&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]'George Udny Yule' @ yule.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=266493&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266493&T=0

As an alternative you can also use a 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'George Udny Yule' @ yule.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
Confidence0.95
Null hypothesis13
Sample Mean13.4170833333333
2-sided Confidence Interval[ 12.7928965478643 , 14.0412701188024 ]
Left-sided Confidence Interval[ 12.8945079564783 , +inf ]
Right-sided Confidence Interval[ -inf, 13.9396587101883 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 120 \tabularnewline
Sample standard deviation & 3.45317109064009 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 13 \tabularnewline
Sample Mean & 13.4170833333333 \tabularnewline
2-sided Confidence Interval & [ 12.7928965478643 , 14.0412701188024 ] \tabularnewline
Left-sided Confidence Interval & [ 12.8945079564783 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  13.9396587101883 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266493&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]0.95[/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][ 12.7928965478643 , 14.0412701188024 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 12.8945079564783 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  13.9396587101883 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266493&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266493&T=1

As an alternative you can also use a 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
Confidence0.95
Null hypothesis13
Sample Mean13.4170833333333
2-sided Confidence Interval[ 12.7928965478643 , 14.0412701188024 ]
Left-sided Confidence Interval[ 12.8945079564783 , +inf ]
Right-sided Confidence Interval[ -inf, 13.9396587101883 ]



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):
par2 <- '13'
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')