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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 computationSun, 18 Dec 2011 11:43:28 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/18/t13242266292x3g68m7znzqzub.htm/, Retrieved Sat, 04 May 2024 01:29:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157070, Retrieved Sat, 04 May 2024 01:29:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [D1 H1] [2011-12-18 16:43:28] [cdf03f2f7d2bbe3f2da091606ae8e03f] [Current]
- R PD    [Testing Mean with unknown Variance - Critical Value] [D1 tweezijdig] [2011-12-20 10:24:06] [0f81819b439c6e991d1a2004e9982756]
-   PD      [Testing Mean with unknown Variance - Critical Value] [Paper (2)] [2012-12-11 17:56:30] [300ac07a477d84a470eebba12c2af4b2]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Paper (1)] [2012-12-11 16:07:30] [300ac07a477d84a470eebba12c2af4b2]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Paper mean unknow...] [2012-12-11 16:15:46] [300ac07a477d84a470eebba12c2af4b2]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1966
1938
1911
1941
1936
1943
1986
1918
1945
1930
1935
1913
1895
1964
1950
1920
1890
1935
1948
1928
1895
1953
1944
1936
1938
1955
1930
1976
1978
1966
1985
1905
1956
1957
1927
1937
1939
1973
1974
1955

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'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157070&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157070&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157070&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'Herman Ole Andreas Wold' @ wold.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size40
Sample standard deviation24.3631578728715
Confidence0.95
Null hypothesis1800
Sample Mean1941.775
2-sided Confidence Interval[ 1933.98328410585 , 1949.56671589415 ]
Left-sided Confidence Interval[ 1935.28460241358 , +inf ]
Right-sided Confidence Interval[ -inf, 1948.26539758643 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 40 \tabularnewline
Sample standard deviation & 24.3631578728715 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 1800 \tabularnewline
Sample Mean & 1941.775 \tabularnewline
2-sided Confidence Interval & [ 1933.98328410585 , 1949.56671589415 ] \tabularnewline
Left-sided Confidence Interval & [ 1935.28460241358 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1948.26539758643 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157070&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]40[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]24.3631578728715[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]1800[/C][/ROW]
[ROW][C]Sample Mean[/C][C]1941.775[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 1933.98328410585 , 1949.56671589415 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 1935.28460241358 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1948.26539758643 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157070&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157070&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 size40
Sample standard deviation24.3631578728715
Confidence0.95
Null hypothesis1800
Sample Mean1941.775
2-sided Confidence Interval[ 1933.98328410585 , 1949.56671589415 ]
Left-sided Confidence Interval[ 1935.28460241358 , +inf ]
Right-sided Confidence Interval[ -inf, 1948.26539758643 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 1800 ;
Parameters (R input):
par1 = 0.95 ; par2 = 1800 ;
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')