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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 computationSat, 13 Dec 2014 10:03:37 +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/13/t1418465035w9ope11peh08css.htm/, Retrieved Thu, 16 May 2024 14:31:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266932, Retrieved Thu, 16 May 2024 14:31:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

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 KUL intrins...] [2014-12-13 09:10:39] [bb1b6762b7e5624d262776d3f7139d34]
-    D  [Testing Mean with unknown Variance - Critical Value] [PAPER KUL intrins...] [2014-12-13 09:35:19] [bb1b6762b7e5624d262776d3f7139d34]
-   PD    [Testing Mean with unknown Variance - Critical Value] [KUL paper extrins...] [2014-12-13 10:01:17] [bb1b6762b7e5624d262776d3f7139d34]
- R           [Testing Mean with unknown Variance - Critical Value] [KUL paper extrins...] [2014-12-13 10:03:37] [8568a324fefbb8dbb43f697bfa8d1be6] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
NA
62
NA
71
54
65
NA
52
84
42
66
65
78
NA
NA
NA
66
NA
61
NA
71
69
NA
72
68
70
68
NA
67
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NA
72
69
71
62
NA
64
58
NA
52
59
68
76
65
NA
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69
NA
63
75
63
60
73
63
70
NA
66
NA
63
64
NA
NA
61
NA
62
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66
NA
NA
NA
NA
56
NA
53
NA
59
NA
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71
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71
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64
66
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62
65
68
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60
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72
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NA
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66

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'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266932&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266932&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266932&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'Herman Ole Andreas Wold' @ wold.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size66
Sample standard deviation6.70359817099954
Confidence0.95
Null hypothesis50
Sample Mean65.3484848484848
2-sided Confidence Interval[ 63.7005347326544 , 66.9964349643153 ]
Left-sided Confidence Interval[ 63.9716000384164 , +inf ]
Right-sided Confidence Interval[ -inf, 66.7253696585533 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 66 \tabularnewline
Sample standard deviation & 6.70359817099954 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 65.3484848484848 \tabularnewline
2-sided Confidence Interval & [ 63.7005347326544 , 66.9964349643153 ] \tabularnewline
Left-sided Confidence Interval & [ 63.9716000384164 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  66.7253696585533 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266932&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]66[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]6.70359817099954[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]65.3484848484848[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 63.7005347326544 , 66.9964349643153 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 63.9716000384164 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  66.7253696585533 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266932&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266932&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 size66
Sample standard deviation6.70359817099954
Confidence0.95
Null hypothesis50
Sample Mean65.3484848484848
2-sided Confidence Interval[ 63.7005347326544 , 66.9964349643153 ]
Left-sided Confidence Interval[ 63.9716000384164 , +inf ]
Right-sided Confidence Interval[ -inf, 66.7253696585533 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 50 ;
Parameters (R input):
par1 = 0.95 ; par2 = 50 ;
R code (references can be found in the software module):
x<-na.omit(x)
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')