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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, 23 Oct 2012 08:19:09 -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/23/t13509948106m848nh8nx6r5gx.htm/, Retrieved Wed, 14 May 2025 03:02:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=182881, Retrieved Wed, 14 May 2025 03:02:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact232

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Boxplot and Trimmed Means] [Reddy Moores Boxp...] [2010-10-12 16:37:57] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R P   [Boxplot and Trimmed Means] [Reddy-Moores Plac...] [2010-10-13 09:46:26] [98fd0e87c3eb04e0cc2efde01dbafab6]
- RMPD    [Notched Boxplots] [] [2010-10-15 11:13:23] [b98453cac15ba1066b407e146608df68]
- RMPD      [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak...] [2012-10-23 09:04:05] [9c45c7d0f0ec5a92d53ae36c26891393]
- R PD          [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 4] [2012-10-23 12:19:09] [ea3f368794e91aea24e3a61414fc1d16] [Current]
- R  D            [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - taak 5] [2012-10-23 12:25:38] [9c45c7d0f0ec5a92d53ae36c26891393]
- RMP             [One Sample Tests about the Mean] [Workshop 4 - taak...] [2012-10-23 14:23:35] [9c45c7d0f0ec5a92d53ae36c26891393]
- R  D              [One Sample Tests about the Mean] [Workshop 4 - taak...] [2012-10-23 14:29:27] [9c45c7d0f0ec5a92d53ae36c26891393]
- RMP               [Variability] [Workshop 4 - taak 8] [2012-10-23 14:33:51] [9c45c7d0f0ec5a92d53ae36c26891393]
- RMPD              [Testing Variance - Critical Value (Region)] [Workshop 4 - taak 8] [2012-10-23 14:40:39] [9c45c7d0f0ec5a92d53ae36c26891393]
- RMPD              [Variability] [Workshop 4 - taak 8] [2012-10-23 14:47:57] [9c45c7d0f0ec5a92d53ae36c26891393]
- RMPD              [Testing Variance - Critical Value (Region)] [Workshop 4 - taak 8] [2012-10-23 14:49:59] [9c45c7d0f0ec5a92d53ae36c26891393]
- RMPD              [Minimum Sample Size - Testing Mean] [Workshop 4 - taak 11] [2012-10-23 15:14:12] [9c45c7d0f0ec5a92d53ae36c26891393]
- RMPD              [Testing Mean with known Variance - Sample Size] [Workshop 4 - taak 9] [2012-10-23 15:31:06] [9c45c7d0f0ec5a92d53ae36c26891393]
- R                   [Testing Mean with known Variance - Sample Size] [Workshop 4 - taak 10] [2012-10-23 15:33:18] [9c45c7d0f0ec5a92d53ae36c26891393]
- R                 [One Sample Tests about the Mean] [Deel 2: hypothese...] [2012-12-20 21:29:55] [5e6119a0aa181aac6bb71d6b937f8665]
- R               [Testing Mean with unknown Variance - Critical Value] [Deel 2: Hypothese...] [2012-12-20 22:05:43] [5e6119a0aa181aac6bb71d6b937f8665]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
20
19

20
25

22
26
22


19
24
26

13


22

21
7

17
25
25
19

23

22
21



18


22
18
23
20


15


21

18
19
22
16

18
20
24


24
18
21

17



22
16
21


24
24
16
16




18

20


24
17
19
20
15

22
23
16
19

19


21

24
22

18

24
24
22
23
22
20
18
25

16
20

15
19
19
16
17
28

25
20


16




23
21


23
18
20
9

25
20




21
22
27



18
16
22
20

20

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.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=182881&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]'Gwilym Jenkins' @ jenkins.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=182881&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182881&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'Gwilym Jenkins' @ jenkins.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 deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 3.60983764663337 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 20.2857142857143 \tabularnewline
2-sided Confidence Interval & [ 19.5619876187585 , 21.00944095267 ] \tabularnewline
Left-sided Confidence Interval & [ 19.6801369145128 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.8912916569158 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182881&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]3.60983764663337[/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]20.2857142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.5619876187585 , 21.00944095267 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.6801369145128 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.8912916569158 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182881&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182881&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 deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]


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')