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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, 08 Oct 2012 08:02:52 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/08/t1349697807mhd4alk6uwm5dwx.htm/, Retrieved Thu, 02 May 2024 06:36:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=173424, Retrieved Thu, 02 May 2024 06:36:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62

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] [TT Ho MA] [2012-10-08 11:06:10] [86dcce9422b96d4554cb918e531c1d5d]
- R  D  [Testing Mean with unknown Variance - Critical Value] [TE Ho MA] [2012-10-08 11:14:48] [86dcce9422b96d4554cb918e531c1d5d]
-    D    [Testing Mean with unknown Variance - Critical Value] [TS Ho MA] [2012-10-08 11:19:28] [86dcce9422b96d4554cb918e531c1d5d]
-    D      [Testing Mean with unknown Variance - Critical Value] [TT Ho MA Post-Pre] [2012-10-08 11:34:58] [86dcce9422b96d4554cb918e531c1d5d]
-    D        [Testing Mean with unknown Variance - Critical Value] [TE Ho MA Post-Pre] [2012-10-08 11:40:00] [86dcce9422b96d4554cb918e531c1d5d]
- R PD            [Testing Mean with unknown Variance - Critical Value] [Question 4 MA] [2012-10-08 12:02:52] [c63d55528b56cf8bb48e0b5d1a959d8e] [Current]
- R  D              [Testing Mean with unknown Variance - Critical Value] [Question 5 MA] [2012-10-08 12:07:34] [86dcce9422b96d4554cb918e531c1d5d]
- RM D                [Testing Variance - p-value (probability)] [Ho Variance 13] [2012-10-08 12:53:55] [86dcce9422b96d4554cb918e531c1d5d]
- R                     [Testing Variance - p-value (probability)] [Ho Variance 13 Male] [2012-10-08 13:00:18] [86dcce9422b96d4554cb918e531c1d5d]
-                       [Testing Variance - p-value (probability)] [Ho Variance 13 Fe...] [2012-10-08 13:04:40] [86dcce9422b96d4554cb918e531c1d5d]
- RM                    [Minimum Sample Size - Testing Mean] [Sample size] [2012-10-08 13:21:30] [86dcce9422b96d4554cb918e531c1d5d]
- RM                    [Testing Mean with known Variance - Sample Size] [Sample size] [2012-10-08 13:25:38] [86dcce9422b96d4554cb918e531c1d5d]
- R                       [Testing Mean with known Variance - Sample Size] [Sample size 0,05 ...] [2012-10-08 13:27:50] [86dcce9422b96d4554cb918e531c1d5d]
- RM                      [Minimum Sample Size - Testing Mean] [Question 11] [2012-10-08 13:34:55] [86dcce9422b96d4554cb918e531c1d5d]
-    D                [Testing Mean with unknown Variance - Critical Value] [Female 20] [2012-10-08 18:26:44] [86dcce9422b96d4554cb918e531c1d5d]
- R  D                [Testing Mean with unknown Variance - Critical Value] [Type 1 fout] [2012-10-08 18:34:39] [86dcce9422b96d4554cb918e531c1d5d]
- R  D              [Testing Mean with unknown Variance - Critical Value] [Male 20] [2012-10-08 18:24:37] [86dcce9422b96d4554cb918e531c1d5d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
127
108
110

104
140

115
121
112


105
111
151

100


115

124
69

113
123
123
84

121

119
98



109


129
119
119
122


82


114

100
99
132
82

107
114
110


109
106
124

91



128
98
133


124
142
96
93




92

117


130
87
92
114
81

115
123
115
117

103


113

117
133

103

117
113
127
126
119
97
105
140

112
113

92
98
122
100
84
142

137
105


104




98
120


123
90
119
105

135
101




114
122
132



114
103
115
108

105

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'George Udny Yule' @ yule.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173424&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173424&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173424&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'George Udny Yule' @ yule.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Hypothesis Test about the Mean - Confidence Interval
Sample size98
Sample standard deviation15.4343795318687
Confidence0.95
Null hypothesis20
Sample Mean112.081632653061
2-sided Confidence Interval[ 108.987235300995 , 115.176030005127 ]
Left-sided Confidence Interval[ 109.492399591083 , +inf ]
Right-sided Confidence Interval[ -inf, 114.670865715039 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 15.4343795318687 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 112.081632653061 \tabularnewline
2-sided Confidence Interval & [ 108.987235300995 , 115.176030005127 ] \tabularnewline
Left-sided Confidence Interval & [ 109.492399591083 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  114.670865715039 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173424&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]15.4343795318687[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]112.081632653061[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 108.987235300995 , 115.176030005127 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 109.492399591083 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  114.670865715039 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173424&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173424&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 size98
Sample standard deviation15.4343795318687
Confidence0.95
Null hypothesis20
Sample Mean112.081632653061
2-sided Confidence Interval[ 108.987235300995 , 115.176030005127 ]
Left-sided Confidence Interval[ 109.492399591083 , +inf ]
Right-sided Confidence Interval[ -inf, 114.670865715039 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.95 ; par2 = 20 ;
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')