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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, 19 Jan 2015 22:04:37 +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/2015/Jan/19/t14217050946u6z34ir21oqfu9.htm/, Retrieved Thu, 20 Feb 2025 19:33:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=274758, Retrieved Thu, 20 Feb 2025 19:33:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104

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] [ex WS4 5] [2015-01-19 21:49:05] [bb1b6762b7e5624d262776d3f7139d34]
-    D  [Testing Mean with unknown Variance - Critical Value] [ex WS4 7] [2015-01-19 21:54:45] [bb1b6762b7e5624d262776d3f7139d34]
- R       [Testing Mean with unknown Variance - Critical Value] [ex WS4 7] [2015-01-19 21:55:46] [bb1b6762b7e5624d262776d3f7139d34]
- R  D        [Testing Mean with unknown Variance - Critical Value] [ex WS4 8] [2015-01-19 22:04:37] [8568a324fefbb8dbb43f697bfa8d1be6] [Current]
- R             [Testing Mean with unknown Variance - Critical Value] [ex WS4 8] [2015-01-19 22:06:29] [bb1b6762b7e5624d262776d3f7139d34]
-                 [Testing Mean with unknown Variance - Critical Value] [ex WS4 8] [2015-01-19 22:07:55] [bb1b6762b7e5624d262776d3f7139d34]
- RM              [One Sample Tests about the Mean] [ex WS4 Q7] [2015-01-19 22:15:55] [bb1b6762b7e5624d262776d3f7139d34]
- R                 [One Sample Tests about the Mean] [ex WS4 9] [2015-01-19 22:18:34] [bb1b6762b7e5624d262776d3f7139d34]
- RM                [Variability] [ex WS4 10] [2015-01-19 22:25:00] [bb1b6762b7e5624d262776d3f7139d34]
- R                   [Variability] [ex WS4 12] [2015-01-19 22:25:52] [bb1b6762b7e5624d262776d3f7139d34]
- RM D                [Testing Variance - Critical Value (Region)] [ex WS4 11] [2015-01-19 22:33:10] [bb1b6762b7e5624d262776d3f7139d34]
-    D                [Variability] [ex WS4 13] [2015-01-19 22:36:17] [bb1b6762b7e5624d262776d3f7139d34]
- R                     [Variability] [ex WS4 13] [2015-01-19 22:37:01] [bb1b6762b7e5624d262776d3f7139d34]
- RM D                  [Testing Variance - Critical Value (Region)] [ex WS4 14] [2015-01-19 22:47:32] [bb1b6762b7e5624d262776d3f7139d34]
- RM D                  [Testing Variance - Confidence Intervals for Population Variance] [ex ws4 extra Q8] [2015-01-19 22:55:58] [bb1b6762b7e5624d262776d3f7139d34]
- RM D                  [Testing Variance - Confidence Intervals for Sample Variance] [ex WS4 extra 2 Q8] [2015-01-19 22:58:39] [bb1b6762b7e5624d262776d3f7139d34]
- RM D                  [Testing Mean with known Variance - Sample Size] [ex WS4 Q9] [2015-01-19 23:04:45] [bb1b6762b7e5624d262776d3f7139d34]
- R                       [Testing Mean with known Variance - Sample Size] [eX WS4 Q10] [2015-01-19 23:07:47] [bb1b6762b7e5624d262776d3f7139d34]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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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 time0 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=274758&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=274758&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=274758&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size162
Sample standard deviationNA
Confidence0.95
Null hypothesis20
Sample MeanNA
2-sided Confidence Interval[ NA , NA ]
Left-sided Confidence Interval[ NA , +inf ]
Right-sided Confidence Interval[ -inf, NA ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 162 \tabularnewline
Sample standard deviation & NA \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & NA \tabularnewline
2-sided Confidence Interval & [ NA , NA ] \tabularnewline
Left-sided Confidence Interval & [ NA , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  NA ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=274758&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]162[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]NA[/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]NA[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ NA , NA ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ NA , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  NA ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=274758&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=274758&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 size162
Sample standard deviationNA
Confidence0.95
Null hypothesis20
Sample MeanNA
2-sided Confidence Interval[ NA , NA ]
Left-sided Confidence Interval[ NA , +inf ]
Right-sided Confidence Interval[ -inf, NA ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
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')