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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 11:40:19 +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/t1418557227pq6lp7bblxocmwz.htm/, Retrieved Thu, 16 May 2024 09:12:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267461, Retrieved Thu, 16 May 2024 09:12:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared and McNemar Tests] [] [2010-11-16 14:33:59] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 11:25:37] [95c11abf048d3a1e472aeccb09199113]
- R  D    [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 11:28:06] [95c11abf048d3a1e472aeccb09199113]
- R  D        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 11:40:19] [d100ddac424efc880e37824ffef4fe9f] [Current]
- RMPD          [Percentiles] [] [2014-12-16 18:10:27] [95c11abf048d3a1e472aeccb09199113]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
50
68
62
54
71
54
65
73
52
84
42
66
65
78
73
75
66
70
81
71
69
71
72
68
70
67
76
70
60
77
72
69
71
62
70
58
76
52
59
68
76
67
59
76
60
63
70
66
64
70
75
61
60
73
61
66
59
64
66
78
53
67
66
71
51
56
67
69
55
63
67
65
47
76
64
68
64
65
63
60
68
72
70
61
61
62
71
71
51
70
73
76
59
68
48
52
59
60
59
57
79
60
60
59
61
71
58
59
58
60
55
62
69
68
72
19
68
79
71
71
74
75
53
50
70
78
59
72
70
63
74
67
66
62
73
67
61
74
32
69
60
57
60
68
68
73
69
65
81
55
69
48
69
68
74
67
65
63
74
39
68
69
63
70
68
70
78
59
62
75
74
73
62
69
67
73
52
61
53
63
78
65
77
69
68
76
63
41
76
67
69
73
63
78
56
56
64
68
75
55
66
75
77
61
71
72
66
66
63
60
64
74
71
69
77
70
77
68
65
69
50
72
64
76
79
55
62
69
68
75
64
63
67
58
71
79
53
57
67
58
74
62
54
62
64
66
66
63
66
78
84
67
58
75
55
72
54
58
67
77
72
52
76
72
77
64
71
73
75
58
51
75
71

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267461&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267461&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267461&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'Sir Maurice George Kendall' @ kendall.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size273
Sample standard deviation8.73428190847983
Confidence0.95
Null hypothesis60.53
Sample Mean65.7838827838828
2-sided Confidence Interval[ 64.7431704930942 , 66.8245950746714 ]
Left-sided Confidence Interval[ 64.9114041051666 , +inf ]
Right-sided Confidence Interval[ -inf, 66.656361462599 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 273 \tabularnewline
Sample standard deviation & 8.73428190847983 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 60.53 \tabularnewline
Sample Mean & 65.7838827838828 \tabularnewline
2-sided Confidence Interval & [ 64.7431704930942 , 66.8245950746714 ] \tabularnewline
Left-sided Confidence Interval & [ 64.9114041051666 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  66.656361462599 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267461&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]273[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]8.73428190847983[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]60.53[/C][/ROW]
[ROW][C]Sample Mean[/C][C]65.7838827838828[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 64.7431704930942 , 66.8245950746714 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 64.9114041051666 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  66.656361462599 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267461&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267461&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 size273
Sample standard deviation8.73428190847983
Confidence0.95
Null hypothesis60.53
Sample Mean65.7838827838828
2-sided Confidence Interval[ 64.7431704930942 , 66.8245950746714 ]
Left-sided Confidence Interval[ 64.9114041051666 , +inf ]
Right-sided Confidence Interval[ -inf, 66.656361462599 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 8 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 60.53 ;
R code (references can be found in the software module):
par2 <- '60,53'
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')