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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, 07 Dec 2014 12:10:50 +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/07/t1417954269716owyvi0g9u698.htm/, Retrieved Thu, 16 May 2024 09:19:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=263741, Retrieved Thu, 16 May 2024 09:19:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93

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] [Paper] [2014-12-07 12:10:50] [58179e1d3a5a39b9daf58e365d8a3352] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
50
48
50
54
71
54
65
73
52
84
42
66
65
73
75
72
66
70
81
69
71
68
70
68
67
76
70
60
72
71
70
64
76
68
76
65
67
75
60
73
63
70
66
64
70
75
60
66
59
78
67
59
66
71
66
72
71
59
78
65
65
71
72
66
69

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'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263741&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263741&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263741&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size65
Sample standard deviation7.96280415431649
Confidence0.95
Null hypothesis42
Sample Mean67
2-sided Confidence Interval[ 65.0269137396458 , 68.9730862603542 ]
Left-sided Confidence Interval[ 65.3515754191715 , +inf ]
Right-sided Confidence Interval[ -inf, 68.6484245808285 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 65 \tabularnewline
Sample standard deviation & 7.96280415431649 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 42 \tabularnewline
Sample Mean & 67 \tabularnewline
2-sided Confidence Interval & [ 65.0269137396458 , 68.9730862603542 ] \tabularnewline
Left-sided Confidence Interval & [ 65.3515754191715 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  68.6484245808285 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263741&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]65[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]7.96280415431649[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]42[/C][/ROW]
[ROW][C]Sample Mean[/C][C]67[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 65.0269137396458 , 68.9730862603542 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 65.3515754191715 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  68.6484245808285 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263741&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263741&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 size65
Sample standard deviation7.96280415431649
Confidence0.95
Null hypothesis42
Sample Mean67
2-sided Confidence Interval[ 65.0269137396458 , 68.9730862603542 ]
Left-sided Confidence Interval[ 65.3515754191715 , +inf ]
Right-sided Confidence Interval[ -inf, 68.6484245808285 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 42 ;
Parameters (R input):
par1 = 0.95 ; par2 = 42 ;
R code (references can be found in the software module):
par2 <- '42'
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')