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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 computationTue, 09 Dec 2014 20:43:42 +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/09/t1418157875cti44kfm3qasthy.htm/, Retrieved Thu, 16 May 2024 04:39:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264846, Retrieved Thu, 16 May 2024 04:39:44 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact81

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] [] [2014-12-09 20:43:42] [18673d63f90870b9c004059cd6229007] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
39
62
77
19
31
66
42
21
69
61
46
39
20
31
55
13
41
45
40
64
25
100
56
29
43
59
27
28
51
29
48
25
64
28
34
31
21
33
27
28
32
22
44
27
17
10
143
55
17
35
72
51
67
36
44
45
34
72
25
73
34
72
42
23
16
9
57
48
53
51
79
39
61
30
22
37
2
38
33
43
43
23
44
54
39
16
40
57
27
69
34
34
34
31
13
24
19
30
22
85
27
45
41
31
24
23
51
36
24
54
39
31
39
31
38
22
62
51
49
16
68
32
33
52
62
76
41
48
63
30
78
35
45
25
44
54
74
80
42
41
34
51
42
31
39
49
53
39
54
49
34
46
42
50
37
25
30
28
45
35
28
6
73
17
37
65
28
35
50
59
61
35
44
32
20
26
58
23
21
16
20
37
35
33
41
40
35
12
45
37
37
108
68
72
9
37
27
37
58
66
21
19
78
48
27
43
30
25
69
23
13
61
43
36
39
43
56
80
40
61
74
66
41
51
29
29
55
54
43
20
55
55
27
56
25
39
57
28
36
23
24
78
37
27
61
44
39
51
12
51
81
42
25
22
19
14
45
28
51
74
19
51
73
61
14
54
62
59
26
16
36
31
42
25
31
17
55
30

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=264846&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=264846&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264846&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 size278
Sample standard deviation19.0672571179775
Confidence0.95
Null hypothesis50
Sample Mean41.431654676259
2-sided Confidence Interval[ 39.1804468257604 , 43.6828625267576 ]
Left-sided Confidence Interval[ 39.5443241011838 , +inf ]
Right-sided Confidence Interval[ -inf, 43.3189852513341 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 278 \tabularnewline
Sample standard deviation & 19.0672571179775 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 41.431654676259 \tabularnewline
2-sided Confidence Interval & [ 39.1804468257604 , 43.6828625267576 ] \tabularnewline
Left-sided Confidence Interval & [ 39.5443241011838 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  43.3189852513341 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264846&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]278[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]19.0672571179775[/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]41.431654676259[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 39.1804468257604 , 43.6828625267576 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 39.5443241011838 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  43.3189852513341 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264846&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264846&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 size278
Sample standard deviation19.0672571179775
Confidence0.95
Null hypothesis50
Sample Mean41.431654676259
2-sided Confidence Interval[ 39.1804468257604 , 43.6828625267576 ]
Left-sided Confidence Interval[ 39.5443241011838 , +inf ]
Right-sided Confidence Interval[ -inf, 43.3189852513341 ]


Figures (Output of Computation)

Input Parameters & R Code

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