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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 computationSun, 14 Dec 2014 13:28:09 +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/t1418563727l16zqvf4xder3sr.htm/, Retrieved Thu, 16 May 2024 18:47:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267564, Retrieved Thu, 16 May 2024 18:47:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88

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] [] [2014-12-14 13:28:09] [feba87b71495ef91d18b6c2716812399] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 














62


56







57
51









56






30


61

47
56
50

67


41

45
48





44



37


56
66


38

34

49
55
49
59
40
58
60
63
56
54
52
34
69
32
48
67
58
57
42
64
58
66
26
61
52
51
55
50
60
56
63
61




52
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72











33













66
66


64
40
46
58


51
50
52
54
66
61
80
51
56


53


47

50
39

58
35
58
60
62
63
53
46
67
59
64
38
50

48
47
66

63

44

43

38
45
50
54


55


37

46
51

64



47

62




67



56


65

50
57
47
47
57






50
22

59
56

53
42
52
54
44
62
53
50
36
76
66
62
59
47
55
58
60

57
45

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=267564&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=267564&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267564&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 size136
Sample standard deviation10.1388938132319
Confidence0.95
Null hypothesis55
Sample Mean53.1323529411765
2-sided Confidence Interval[ 51.4129413977625 , 54.8517644845905 ]
Left-sided Confidence Interval[ 51.6924311049752 , +inf ]
Right-sided Confidence Interval[ -inf, 54.5722747773777 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 136 \tabularnewline
Sample standard deviation & 10.1388938132319 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 55 \tabularnewline
Sample Mean & 53.1323529411765 \tabularnewline
2-sided Confidence Interval & [ 51.4129413977625 , 54.8517644845905 ] \tabularnewline
Left-sided Confidence Interval & [ 51.6924311049752 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  54.5722747773777 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267564&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]136[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]10.1388938132319[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]55[/C][/ROW]
[ROW][C]Sample Mean[/C][C]53.1323529411765[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 51.4129413977625 , 54.8517644845905 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 51.6924311049752 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  54.5722747773777 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267564&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267564&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 size136
Sample standard deviation10.1388938132319
Confidence0.95
Null hypothesis55
Sample Mean53.1323529411765
2-sided Confidence Interval[ 51.4129413977625 , 54.8517644845905 ]
Left-sided Confidence Interval[ 51.6924311049752 , +inf ]
Right-sided Confidence Interval[ -inf, 54.5722747773777 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = paired ; par6 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 55 ;
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')