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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 13:21:40 +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/t1418563440rk01gqb70sld8oj.htm/, Retrieved Thu, 16 May 2024 10:37:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267555, Retrieved Thu, 16 May 2024 10:37:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

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]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 11:34:22] [95c11abf048d3a1e472aeccb09199113]
- R P           [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 13:21:40] [4bf1efda48b6e8e35beb7b429a900cbb] [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
55
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
56
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
49
62
60
67
52
52
53
45
47
41
53
34
45
44
60
53
53
51
65
51
49
58
62
52
50
53
62
66
50
58
53
59
58
52
58
71
58
46
64
67
44
69
64
38
59
47
57
51
67
43
41
58
64
50
59
55
59
58
41
77
58
62
60
56
43
54
54
56
65
66
62
67
53
49
56
76
33
72
51
42
69
51
51
67
64
58

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=267555&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=267555&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267555&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 size223
Sample standard deviation9.7817123830023
Confidence0.95
Null hypothesis49.43
Sample Mean54.085201793722
2-sided Confidence Interval[ 52.7943255641876 , 55.3760780232564 ]
Left-sided Confidence Interval[ 53.0032552212867 , +inf ]
Right-sided Confidence Interval[ -inf, 55.1671483661573 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 223 \tabularnewline
Sample standard deviation & 9.7817123830023 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 49.43 \tabularnewline
Sample Mean & 54.085201793722 \tabularnewline
2-sided Confidence Interval & [ 52.7943255641876 , 55.3760780232564 ] \tabularnewline
Left-sided Confidence Interval & [ 53.0032552212867 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  55.1671483661573 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267555&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]223[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]9.7817123830023[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]49.43[/C][/ROW]
[ROW][C]Sample Mean[/C][C]54.085201793722[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 52.7943255641876 , 55.3760780232564 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 53.0032552212867 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  55.1671483661573 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267555&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267555&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 size223
Sample standard deviation9.7817123830023
Confidence0.95
Null hypothesis49.43
Sample Mean54.085201793722
2-sided Confidence Interval[ 52.7943255641876 , 55.3760780232564 ]
Left-sided Confidence Interval[ 53.0032552212867 , +inf ]
Right-sided Confidence Interval[ -inf, 55.1671483661573 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 49.43 ;
R code (references can be found in the software module):
par2 <- '49,43'
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')