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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, 16 Dec 2014 22:59:52 +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/16/t141877084605w7wjgsss743bv.htm/, Retrieved Thu, 16 May 2024 10:31:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269967, Retrieved Thu, 16 May 2024 10:31:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact59

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Connected vs Sepa...] [2010-10-04 07:35:56] [b98453cac15ba1066b407e146608df68]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [] [2014-12-16 22:59:52] [6993448de96b8662e47595bfdf466bf3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
109
68
131
71
68
89
115
78
118
87
162
49
122
96
100
82
100
115
141
110
146
90
121
104
147
110
108
113
115
61
60
109
111
77
73
89
78
110
65
117
63
52
131
101
42
77
96
57
112
56
86
88
48
85
63
102
162
86
114
94
81
110
104
49
88
102
99
63
76
109
117
57
120
73
91
108
105
119

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269967&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269967&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269967&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'Gwilym Jenkins' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size78
Sample standard deviation26.7664166249623
Confidence0.99
Null hypothesis15
Sample Mean94.8846153846154
2-sided Confidence Interval[ 86.8799380925891 , 102.889292676642 ]
Left-sided Confidence Interval[ 87.6844089402616 , +inf ]
Right-sided Confidence Interval[ -inf, 102.084821828969 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 78 \tabularnewline
Sample standard deviation & 26.7664166249623 \tabularnewline
Confidence & 0.99 \tabularnewline
Null hypothesis & 15 \tabularnewline
Sample Mean & 94.8846153846154 \tabularnewline
2-sided Confidence Interval & [ 86.8799380925891 , 102.889292676642 ] \tabularnewline
Left-sided Confidence Interval & [ 87.6844089402616 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  102.084821828969 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269967&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]78[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]26.7664166249623[/C][/ROW]
[ROW][C]Confidence[/C][C]0.99[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]15[/C][/ROW]
[ROW][C]Sample Mean[/C][C]94.8846153846154[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 86.8799380925891 , 102.889292676642 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 87.6844089402616 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  102.084821828969 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269967&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269967&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 size78
Sample standard deviation26.7664166249623
Confidence0.99
Null hypothesis15
Sample Mean94.8846153846154
2-sided Confidence Interval[ 86.8799380925891 , 102.889292676642 ]
Left-sided Confidence Interval[ 87.6844089402616 , +inf ]
Right-sided Confidence Interval[ -inf, 102.084821828969 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.99 ; par2 = 15 ;
Parameters (R input):
par1 = 0.99 ; par2 = 15 ;
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')