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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, 25 Oct 2010 21:14:46 +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/2010/Oct/25/t1288041199b70ctgwg3drjqxk.htm/, Retrieved Mon, 29 Apr 2024 21:08:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88567, Retrieved Mon, 29 Apr 2024 21:08:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact167

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]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Two-sided null hy...] [2010-10-25 21:06:35] [b8e188bcc949964bed729335b3416734]
-   PD        [Testing Mean with unknown Variance - Critical Value] [Two-sided null hy...] [2010-10-25 21:14:46] [278a0539dc236556c5f30b5bc56ff9eb] [Current]
- RMPD          [Testing Mean with known Variance - Critical Value] [Null hypothesis I...] [2010-10-25 21:38:09] [b8e188bcc949964bed729335b3416734]
- RMPD          [Testing Mean with known Variance - Critical Value] [Null hypothesis I...] [2010-10-25 21:38:09] [b8e188bcc949964bed729335b3416734]
-   P             [Testing Mean with known Variance - Critical Value] [Null hypothesis I...] [2010-10-25 21:42:05] [b8e188bcc949964bed729335b3416734]
-   P               [Testing Mean with known Variance - Critical Value] [vraag 8 man] [2010-10-26 20:40:19] [608064602fec1c42028cf50c6f981c88]
-   P               [Testing Mean with known Variance - Critical Value] [vraag 8 vrouwen] [2010-10-26 20:42:07] [608064602fec1c42028cf50c6f981c88]
-   P               [Testing Mean with known Variance - Critical Value] [] [2010-10-26 22:25:00] [8620fc07154012ec3d982ccd5fe96f55]
- RMP             [Testing Mean with known Variance - Sample Size] [minimum sample size] [2010-10-25 21:51:45] [b8e188bcc949964bed729335b3416734]
-                   [Testing Mean with known Variance - Sample Size] [minimum sample si...] [2010-10-25 21:54:26] [b8e188bcc949964bed729335b3416734]
-                     [Testing Mean with known Variance - Sample Size] [] [2012-10-06 16:26:19] [5b4f808c567607ef83d7f50fc3056dec]
- R P                 [Testing Mean with known Variance - Sample Size] [] [2012-10-06 16:29:53] [5b4f808c567607ef83d7f50fc3056dec]
- RM                [Minimum Sample Size - Testing Mean] [minimum sample si...] [2010-10-25 21:59:07] [b8e188bcc949964bed729335b3416734]
-   P                 [Minimum Sample Size - Testing Mean] [] [2010-10-26 22:36:55] [8620fc07154012ec3d982ccd5fe96f55]
- R P                 [Minimum Sample Size - Testing Mean] [] [2012-10-06 16:32:14] [5b4f808c567607ef83d7f50fc3056dec]
-   P               [Testing Mean with known Variance - Sample Size] [Vraag 9 ws 4] [2010-10-26 20:49:24] [608064602fec1c42028cf50c6f981c88]
-                     [Testing Mean with known Variance - Sample Size] [vraag 10 ws 4] [2010-10-26 20:51:48] [608064602fec1c42028cf50c6f981c88]
-   P               [Testing Mean with known Variance - Sample Size] [] [2010-10-26 22:30:47] [8620fc07154012ec3d982ccd5fe96f55]
-                     [Testing Mean with known Variance - Sample Size] [] [2010-10-26 22:34:49] [8620fc07154012ec3d982ccd5fe96f55]
- R                 [Testing Mean with known Variance - Sample Size] [] [2012-10-06 16:21:14] [5b4f808c567607ef83d7f50fc3056dec]
-   P             [Testing Mean with known Variance - Critical Value] [] [2010-10-26 22:26:51] [8620fc07154012ec3d982ccd5fe96f55]
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Dataset

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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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88567&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88567&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88567&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' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size63
Sample standard deviation3.71225672258781
Confidence0.95
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.223810410058 , 22.0936499074023 ]
Left-sided Confidence Interval[ 20.3777621085879 , +inf ]
Right-sided Confidence Interval[ -inf, 21.9396982088724 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.223810410058 , 22.0936499074023 ] \tabularnewline
Left-sided Confidence Interval & [ 20.3777621085879 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.9396982088724 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88567&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]3.71225672258781[/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]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.223810410058 , 22.0936499074023 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.3777621085879 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.9396982088724 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88567&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88567&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 deviation3.71225672258781
Confidence0.95
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.223810410058 , 22.0936499074023 ]
Left-sided Confidence Interval[ 20.3777621085879 , +inf ]
Right-sided Confidence Interval[ -inf, 21.9396982088724 ]


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')