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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 computationThu, 25 Nov 2010 12:36:41 +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/Nov/25/t12906885814yyw3obgyvzx2q5.htm/, Retrieved Fri, 19 Apr 2024 21:53:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=100893, Retrieved Fri, 19 Apr 2024 21:53:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124

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] [] [2010-10-25 20:51:55] [b98453cac15ba1066b407e146608df68]
-   PD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-11-25 12:27:48] [62f7c80c4d96454bbd2b2b026ea9aad9]
-   PD      [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-11-25 12:36:41] [8eb352cba3cf694c3df89d0a436a2f1b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16896.2
16698.00
19691.6
15930.7
17444.6
17699.4
15189.8
15672.7
17180.8
17664.9
17862.9
16162.3
17463.6
16772.1
19106.9
16721.3
18161.3
18509.9
17802.7
16409.9
17967.7
20286.6
19537.3
18021.9
20194.3
19049.6
20244.7
21473.3
19673.6
21053.2
20159.5
18203.6
21289.5
20432.3
17180.4
15816.8
15071.8
14521.1
15668.8
14346.9
13881.00
15465.9
14238.2
13557.7
16127.6
16793.9
16014.00
16867.9
16014.6
15878.6
18664.9
17962.5
17332.7
19542.1
17203.6

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100893&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100893&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100893&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Hypothesis Test about the Mean - Confidence Interval
Sample size55
Sample standard deviation1966.42427646495
Confidence0.95
Null hypothesis17332.7
Sample Mean17468.7218181818
2-sided Confidence Interval[ 16937.1228715605 , 18000.3207648031 ]
Left-sided Confidence Interval[ 17024.9717397802 , +inf ]
Right-sided Confidence Interval[ -inf, 17912.4718965834 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 55 \tabularnewline
Sample standard deviation & 1966.42427646495 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 17332.7 \tabularnewline
Sample Mean & 17468.7218181818 \tabularnewline
2-sided Confidence Interval & [ 16937.1228715605 , 18000.3207648031 ] \tabularnewline
Left-sided Confidence Interval & [ 17024.9717397802 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  17912.4718965834 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100893&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]55[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1966.42427646495[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]17332.7[/C][/ROW]
[ROW][C]Sample Mean[/C][C]17468.7218181818[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 16937.1228715605 , 18000.3207648031 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 17024.9717397802 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  17912.4718965834 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100893&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100893&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 size55
Sample standard deviation1966.42427646495
Confidence0.95
Null hypothesis17332.7
Sample Mean17468.7218181818
2-sided Confidence Interval[ 16937.1228715605 , 18000.3207648031 ]
Left-sided Confidence Interval[ 17024.9717397802 , +inf ]
Right-sided Confidence Interval[ -inf, 17912.4718965834 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 17332.7 ;
Parameters (R input):
par1 = 0.95 ; par2 = 17332.7 ;
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')