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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 computationMon, 15 Dec 2014 16:03:23 +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/15/t1418659414zavc287g2m2n1be.htm/, Retrieved Thu, 16 May 2024 07:09:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268686, Retrieved Thu, 16 May 2024 07:09:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90

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] [gzg] [2014-12-15 16:03:23] [cf34f1111566f5ca061ad80c95189d56] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
57
67
43
52
43
84
67
49
70
52
43
56
65
63
57
63
53
57
64
51
58
43
51
53
56
61
39
48
50
35
30
49
61
47
56
50
43
67
62
57
54
48
61
43
44
58
46
66
45
59
38
53
59
58
60
52
34
69
48
58
57
42
64
58
26
61
52
61
52
16
46
56
55
50
60
67
52
55
37
54
72
51
48
50
63
33
67
46
54
61
33
47
69
52
73
51
56
56
66
66
73
58
61
50
54
80
56
56
56
53
47
47
51
35
53
46
67
59
50
47
63
51
55
38
56
50
54
57
49
37
59
46
53
48
62
62
67
50
54
58
63
31
65
57
54
47
57
41
63
56
41
42
44
66
62
60
45
51
51
56
42
50
59
54
66
51
42
63
43
67
69
40
70
77
41
51
69
60
45
39
51
51
51
65
51
58
54
52
72
50
65
50
52
59
52
45
70
71
58
39
46
67
44
41
68
63
57
39
38
51
59
47
50
57
21
51
37
67
43
40
58
64
58
59
58
41
56
63
58
47
62
60
50
46
44
58
56
43
54
66
62
58
67
25
56
53
59
46
49
76
33
49
53
72
51
51
54
52
59
67
58
53

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=268686&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=268686&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268686&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 size262
Sample standard deviation10.3376643523262
Confidence0.95
Null hypothesis54
Sample Mean53.7557251908397
2-sided Confidence Interval[ 52.4981371750902 , 55.0133132065892 ]
Left-sided Confidence Interval[ 52.7014759884031 , +inf ]
Right-sided Confidence Interval[ -inf, 54.8099743932763 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 262 \tabularnewline
Sample standard deviation & 10.3376643523262 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 54 \tabularnewline
Sample Mean & 53.7557251908397 \tabularnewline
2-sided Confidence Interval & [ 52.4981371750902 , 55.0133132065892 ] \tabularnewline
Left-sided Confidence Interval & [ 52.7014759884031 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  54.8099743932763 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268686&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]262[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]10.3376643523262[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]54[/C][/ROW]
[ROW][C]Sample Mean[/C][C]53.7557251908397[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 52.4981371750902 , 55.0133132065892 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 52.7014759884031 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  54.8099743932763 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268686&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268686&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 size262
Sample standard deviation10.3376643523262
Confidence0.95
Null hypothesis54
Sample Mean53.7557251908397
2-sided Confidence Interval[ 52.4981371750902 , 55.0133132065892 ]
Left-sided Confidence Interval[ 52.7014759884031 , +inf ]
Right-sided Confidence Interval[ -inf, 54.8099743932763 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 54 ;
Parameters (R input):
par1 = 0.95 ; par2 = 54 ;
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')