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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 computationThu, 18 Dec 2014 12:09:39 +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/18/t1418904588tb458rbndom1skn.htm/, Retrieved Sun, 19 May 2024 17:01:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270845, Retrieved Sun, 19 May 2024 17:01:34 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact91

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] [] [2014-10-18 07:38:50] [fa1b8827d7de91b8b87087311d3d9fa1]
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2014-12-18 12:09:39] [7de19aadd459682308988067914fc05d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
51
57
37
67
43
52
52
43
84
67
49
70
52
58
68
43
56
74
65
63
58
57
63
53
64
53
29
54
51
58
43
51
53
54
61
47
39
48
50
35
68
49
67
43
62
57
54
61
56
41
43
53
66
58
46
51
51
45
37
59
42
66
53
52
16
46
56
50
59
60
52
44
67
52
55
37
54
51
48
60
50
63
33
67
46
54
59
61
47
69
52
55
55
41
73
51
52
50
51
60
56
56
29
73
55
43
61
56
56
47
25
46
51
48
47
58
51
55
57
60
56
49
43
59
58
53
48
51
59
62
51
64
52
50
54
58
63
31
71
54
43
41
63
63
56
51
41
66
44
58
51
57
30
46
51
56
58
44
14
53
42
44
30
46
50
54
48
55
35
55
41
59
54
66
55
45
51
47
42
53
53
41
55
55
46
63
43
65
59
39
44
57
69
46
46
40
70
54
77
60
50
66
60
51
69
60
58
39
51
52
49
63
51
52
52
31
61
54
72
65
56
63
45
52
68
45
70
69
46
39
54
41
68
63
57
61
39
59
51
51
65
50
21
47
37
58
51
40
64
58
56
63
60
64
47
46
50
46
44
58
58
25
56
56
59
46
49
53
58
54
52
59
53

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'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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270845&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270845&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270845&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size274
Sample standard deviation10.3677803423923
Confidence0.95
Null hypothesis53
Sample Mean52.6861313868613
2-sided Confidence Interval[ 51.4530600611585 , 53.9192027125641 ]
Left-sided Confidence Interval[ 51.6523849864726 , +inf ]
Right-sided Confidence Interval[ -inf, 53.71987778725 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 274 \tabularnewline
Sample standard deviation & 10.3677803423923 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 53 \tabularnewline
Sample Mean & 52.6861313868613 \tabularnewline
2-sided Confidence Interval & [ 51.4530600611585 , 53.9192027125641 ] \tabularnewline
Left-sided Confidence Interval & [ 51.6523849864726 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  53.71987778725 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270845&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]274[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]10.3677803423923[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]53[/C][/ROW]
[ROW][C]Sample Mean[/C][C]52.6861313868613[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 51.4530600611585 , 53.9192027125641 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 51.6523849864726 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  53.71987778725 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270845&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270845&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 size274
Sample standard deviation10.3677803423923
Confidence0.95
Null hypothesis53
Sample Mean52.6861313868613
2-sided Confidence Interval[ 51.4530600611585 , 53.9192027125641 ]
Left-sided Confidence Interval[ 51.6523849864726 , +inf ]
Right-sided Confidence Interval[ -inf, 53.71987778725 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 50 ;
Parameters (R input):
par1 = 0.95 ; par2 = 53 ;
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')