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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, 11 Dec 2014 15:49:21 +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/11/t1418312978tpvv7vdw947k7ul.htm/, Retrieved Thu, 16 May 2024 18:49:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266136, Retrieved Thu, 16 May 2024 18:49:48 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact69

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] [] [2014-12-11 15:49:21] [8fb8f54f5311a3bdb9fc3d530bb27adb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
68
39
32
62
33
52
62
77
76
41
48
63
30
78
19
31
66
35
42
45
21
25
44
69
54
74
80
42
61
41
46
39
34
51
42
31
39
20
49
53
31
39
54
49
34
46
55
42
50
13
37
25
30
28
45
35
28
41
6
45
73
17
40
64
37
25
65
100
28
35
56
29
43
59
50
3
59
27
61
28
51
35
29
48
25
44
64
32
20
28
34
31
26
58
23
21
21
33
16
20
37
35
33
27
41
40
35
28
32
22
44
27
17
12
45
37
37
108
10
68
72
143
9
55
17
37
27
37
58
66
21
19
78
35
48
27
43
30
25
69
72
23
13
61
43
51
67
36
44
45
34
36
72
39
43
25
56
80
40
73
34
72
42
61
23
74
16
66
9
41
57
48
51
53
29
29
55
54
43
51
20
79
39
61
55
30
55
22
37
2
38
27
56
25
39
33
43
57
43
23
44
54
28
36
39
16
23
40
24
78
57
37
27
61
27
69
34
44
34
39
51
34
31
13
12
51
24
19
30
81
42
22
85
27
25
22
19
14
45
45
28
51
41
31
74
19
51
73
24
61
23
14
54
51
62
36
59
24
26
54
39
16
36
31
31
42
39
25
31
38
31
17
22
55
62
51
30
49
16

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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266136&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266136&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266136&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'George Udny Yule' @ yule.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size279
Sample standard deviation19.1714997219416
Confidence0.95
Null hypothesis0
Sample Mean41.2939068100358
2-sided Confidence Interval[ 39.0344871646089 , 43.5533264554628 ]
Left-sided Confidence Interval[ 39.3996847315896 , +inf ]
Right-sided Confidence Interval[ -inf, 43.1881288884821 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 279 \tabularnewline
Sample standard deviation & 19.1714997219416 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 41.2939068100358 \tabularnewline
2-sided Confidence Interval & [ 39.0344871646089 , 43.5533264554628 ] \tabularnewline
Left-sided Confidence Interval & [ 39.3996847315896 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  43.1881288884821 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266136&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]279[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]19.1714997219416[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]41.2939068100358[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 39.0344871646089 , 43.5533264554628 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 39.3996847315896 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  43.1881288884821 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266136&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266136&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 size279
Sample standard deviation19.1714997219416
Confidence0.95
Null hypothesis0
Sample Mean41.2939068100358
2-sided Confidence Interval[ 39.0344871646089 , 43.5533264554628 ]
Left-sided Confidence Interval[ 39.3996847315896 , +inf ]
Right-sided Confidence Interval[ -inf, 43.1881288884821 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ;
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')