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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, 14 Oct 2014 19:43:28 +0100
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/Oct/14/t1413312224osndg0h8u1h8pty.htm/, Retrieved Mon, 13 May 2024 20:12:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=241012, Retrieved Mon, 13 May 2024 20:12:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact210

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
- RM D      [Testing Mean with unknown Variance - Critical Value] [] [2014-10-14 18:43:28] [63a9f0ea7bb98050796b649e85481845] [Current]
- R PD        [Testing Mean with unknown Variance - Critical Value] [WS 4 Q4] [2014-10-19 13:24:24] [0157b5c42b4f7eb2350035031c315d52]
- R  D          [Testing Mean with unknown Variance - Critical Value] [WS 4 Q4] [2014-10-19 13:25:44] [0157b5c42b4f7eb2350035031c315d52]
-   PD        [Testing Mean with unknown Variance - Critical Value] [WS4 task4] [2014-10-21 08:33:11] [46c7ebd23dbdec306a09830d8b7528e7]
-   PD        [Testing Mean with unknown Variance - Critical Value] [WS4 task 5] [2014-10-21 08:41:55] [46c7ebd23dbdec306a09830d8b7528e7]
- RMPD        [One Sample Tests about the Mean] [WS4 task 7] [2014-10-21 08:53:11] [46c7ebd23dbdec306a09830d8b7528e7]
- R  D          [One Sample Tests about the Mean] [WS4 task 7a] [2014-10-21 09:00:26] [46c7ebd23dbdec306a09830d8b7528e7]
- RM D          [Variability] [WS4 task8ma] [2014-10-21 09:06:48] [46c7ebd23dbdec306a09830d8b7528e7]
- R  D            [Variability] [WS4 task8Fa] [2014-10-21 09:21:23] [46c7ebd23dbdec306a09830d8b7528e7]
- RM D          [Testing Mean with known Variance - Critical Value] [WS4 task8mb] [2014-10-21 09:15:34] [46c7ebd23dbdec306a09830d8b7528e7]
- RM              [Testing Mean with known Variance - Sample Size] [WS4 task9a] [2014-10-21 09:49:12] [46c7ebd23dbdec306a09830d8b7528e7]
- R                 [Testing Mean with known Variance - Sample Size] [WS4 task 10] [2014-10-21 09:52:21] [46c7ebd23dbdec306a09830d8b7528e7]
- RM                [Minimum Sample Size - Testing Mean] [WS4 task 11] [2014-10-21 09:55:04] [46c7ebd23dbdec306a09830d8b7528e7]
- R               [Testing Mean with known Variance - Critical Value] [WS4 task8fb] [2014-10-21 10:01:01] [46c7ebd23dbdec306a09830d8b7528e7]
-   PD        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-21 09:54:46] [d253a55552bf9917a397def3be261e30]
-    D          [Testing Mean with unknown Variance - Critical Value] [] [2014-10-21 10:02:05] [d253a55552bf9917a397def3be261e30]
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2014-10-21 10:03:57] [d253a55552bf9917a397def3be261e30]
- RMP           [One Sample Tests about the Mean] [] [2014-10-21 10:28:43] [d253a55552bf9917a397def3be261e30]
- R  D            [One Sample Tests about the Mean] [] [2014-10-21 10:31:32] [d253a55552bf9917a397def3be261e30]
-  M          [Testing Mean with unknown Variance - Critical Value] [Academic motivati...] [2014-10-21 15:28:13] [6795cd14e59cd8fafcdf800c40b889d9]
-   PD        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-21 18:15:25] [d69b52d23ca73e15a0c741afa583703c]
- RMPD        [Minimum Sample Size - Testing Mean] [] [2014-10-21 18:32:44] [d69b52d23ca73e15a0c741afa583703c]
-   PD        [Testing Mean with unknown Variance - Critical Value] [WS4 Question 4] [2014-10-22 10:43:37] [2c7dedbadf9652d0ab85aa087468ddf4]
- RMP           [One Sample Tests about the Mean] [WS4 Question 7.1] [2014-10-22 11:05:09] [2c7dedbadf9652d0ab85aa087468ddf4]
- RMP           [Variability] [WS4 Question 8.1] [2014-10-22 11:19:24] [2c7dedbadf9652d0ab85aa087468ddf4]
- RMPD          [Variability] [WS4 Question 8.2] [2014-10-22 11:25:22] [2c7dedbadf9652d0ab85aa087468ddf4]
- RMPD          [Testing Variance - Critical Value (Region)] [WS4 Question 8.2.2] [2014-10-22 11:29:42] [2c7dedbadf9652d0ab85aa087468ddf4]
- RMPD          [Minimum Sample Size - Testing Mean] [WS4 Question 11] [2014-10-22 11:37:59] [2c7dedbadf9652d0ab85aa087468ddf4]
- R PD        [Testing Mean with unknown Variance - Critical Value] [WS4 Question 5] [2014-10-22 10:53:27] [2c7dedbadf9652d0ab85aa087468ddf4]
- RMP           [One Sample Tests about the Mean] [WS4 Question 7.2] [2014-10-22 11:08:58] [2c7dedbadf9652d0ab85aa087468ddf4]
-   PD        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 12:48:35] [b007041690f75f30ec26eb43925b7b35]
-   P           [Testing Mean with unknown Variance - Critical Value] [berekening 1 ws 4] [2014-10-22 12:49:56] [b007041690f75f30ec26eb43925b7b35]
-  M          [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:45:07] [8d160a85bfd9526a7d0e42afc5fb569b]
-   PD        [Testing Mean with unknown Variance - Critical Value] [WSH 4 Task 4] [2014-10-23 11:55:31] [4e6b221caf797a012ce5465db674848b]
-   PD        [Testing Mean with unknown Variance - Critical Value] [WSH 4 Task 4] [2014-10-23 11:57:52] [4e6b221caf797a012ce5465db674848b]
-    D          [Testing Mean with unknown Variance - Critical Value] [WSH 4 Task 4] [2014-10-23 12:01:34] [4e6b221caf797a012ce5465db674848b]
- R PD        [Testing Mean with unknown Variance - Critical Value] [WSH 4 Task 4] [2014-10-23 12:23:41] [4e6b221caf797a012ce5465db674848b]
- R PD        [Testing Mean with unknown Variance - Critical Value] [WSH 4 Task 5] [2014-10-23 12:28:39] [4e6b221caf797a012ce5465db674848b]
-   PD        [Testing Mean with unknown Variance - Critical Value] [WSH 4, Question 4] [2014-10-23 17:15:31] [e7da31d1eb6eab8d5ed70d87d07c747b]
- R PD        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-11 17:38:52] [67894a4ff6098ffac356bc81e6028257]
- RMPD        [Notched Boxplots] [] [2014-12-11 21:14:42] [6b382800c0d3804662889dbce999b8c7]
- RMPD        [Multiple Regression] [] [2014-12-11 21:39:03] [6b382800c0d3804662889dbce999b8c7]
- R PD          [Multiple Regression] [] [2014-12-14 23:33:56] [6b382800c0d3804662889dbce999b8c7]
- RM D            [Decomposition by Loess] [] [2014-12-15 02:12:41] [6b382800c0d3804662889dbce999b8c7]
-  MP         [Testing Mean with unknown Variance - Critical Value] [] [2015-01-13 14:21:56] [7cbb18b434f1664cf49f28a3db4308dd]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 

102


112



118
122



106

149
122

86


117




97

132


87
101
115

109
159




131
120

86
105

100




132



105
121



120

126
138
118



130
103




129
150
88
125



112
144





127




117

108
139

97


115

95








91


102






124


106
125

130
79
108
136


108
139




110


114
118
120
108



130
130
112




94

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'Sir Maurice George Kendall' @ kendall.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 & 0 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.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=241012&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]'Sir Maurice George Kendall' @ kendall.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=241012&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=241012&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'Sir Maurice George Kendall' @ kendall.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 size63
Sample standard deviation17.0670944886854
Confidence0.95
Null hypothesis100
Sample Mean115.857142857143
2-sided Confidence Interval[ 111.558850771674 , 120.155434942611 ]
Left-sided Confidence Interval[ 112.266643465406 , +inf ]
Right-sided Confidence Interval[ -inf, 119.44764224888 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 17.0670944886854 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 115.857142857143 \tabularnewline
2-sided Confidence Interval & [ 111.558850771674 , 120.155434942611 ] \tabularnewline
Left-sided Confidence Interval & [ 112.266643465406 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  119.44764224888 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=241012&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]17.0670944886854[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]115.857142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 111.558850771674 , 120.155434942611 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 112.266643465406 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  119.44764224888 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=241012&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=241012&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 size63
Sample standard deviation17.0670944886854
Confidence0.95
Null hypothesis100
Sample Mean115.857142857143
2-sided Confidence Interval[ 111.558850771674 , 120.155434942611 ]
Left-sided Confidence Interval[ 112.266643465406 , +inf ]
Right-sided Confidence Interval[ -inf, 119.44764224888 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 98 ; par2 = 13.0309278351 ; par3 = 20.2857142857 ; par4 = 20 ; par5 = 0.05 ; par6 = 21 ;
Parameters (R input):
par1 = 0.95 ; par2 = 100 ;
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')