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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 12:27:48 +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/t1290688225j3twarx1c2uukgp.htm/, Retrieved Fri, 19 Apr 2024 23:03:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=100878, Retrieved Fri, 19 Apr 2024 23:03:09 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
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] [8eb352cba3cf694c3df89d0a436a2f1b] [Current]
-   PD      [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-11-25 12:36:41] [62f7c80c4d96454bbd2b2b026ea9aad9]
-    D      [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-12-06 20:54:24] [62f7c80c4d96454bbd2b2b026ea9aad9]
-   PD      [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-12-06 20:56:54] [62f7c80c4d96454bbd2b2b026ea9aad9]
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Dataseries X:
16198.9
16554.2
19554.2
15903.8
18003.8
18329.6
16260.7
14851.9
18174.1
18406.6
18466.5
16016.5
17428.5
17167.2
19630,00
17183.6
18344.7
19301.4
18147.5
16192.9
18374.4
20515.2
18957.2
16471.5
18746.8
19009.5
19211.2
20547.7
19325.8
20605.5
20056.9
16141.4
20359.8
19711.6
15638.6
14384.5
13855.6
14308.3
15290.6
14423.8
13779.7
15686.3
14733.8
12522.5
16189.4
16059.1
16007.1
15806.8
15160,00
15692.1
18908.9
16969.9
16997.5
19858.9
17681.2




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=100878&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=100878&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100878&T=0

As an alternative you can also use a 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 deviation2019.06449013895
Confidence0.95
Null hypothesis17167.2
Sample Mean17238.2854545455
2-sided Confidence Interval[ 16692.4558647847 , 17784.1150443062 ]
Left-sided Confidence Interval[ 16782.6564041313 , +inf ]
Right-sided Confidence Interval[ -inf, 17693.9145049596 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 55 \tabularnewline
Sample standard deviation & 2019.06449013895 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 17167.2 \tabularnewline
Sample Mean & 17238.2854545455 \tabularnewline
2-sided Confidence Interval & [ 16692.4558647847 , 17784.1150443062 ] \tabularnewline
Left-sided Confidence Interval & [ 16782.6564041313 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  17693.9145049596 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100878&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]2019.06449013895[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]17167.2[/C][/ROW]
[ROW][C]Sample Mean[/C][C]17238.2854545455[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 16692.4558647847 , 17784.1150443062 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 16782.6564041313 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  17693.9145049596 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100878&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100878&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size55
Sample standard deviation2019.06449013895
Confidence0.95
Null hypothesis17167.2
Sample Mean17238.2854545455
2-sided Confidence Interval[ 16692.4558647847 , 17784.1150443062 ]
Left-sided Confidence Interval[ 16782.6564041313 , +inf ]
Right-sided Confidence Interval[ -inf, 17693.9145049596 ]



Parameters (Session):
par1 = 0.95 ; par2 = 17167.2 ;
Parameters (R input):
par1 = 0.95 ; par2 = 17167.2 ;
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')