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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, 20 Dec 2018 20:03:36 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Dec/20/t1545332696e3jufru3jj9n9lw.htm/, Retrieved Sat, 18 May 2024 23:39:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316134, Retrieved Sat, 18 May 2024 23:39:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97

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] [] [2018-12-20 19:03:36] [593aecdf71e2387dd5acdd2c766144c5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
70
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130
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Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316134&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316134&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316134&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Hypothesis Test about the Mean - Confidence Interval
Sample size77
Sample standard deviation19.4841190568208
Confidence0.95
Null hypothesis100
Sample Mean106.883116883117
2-sided Confidence Interval[ 102.46076432015 , 111.305469446084 ]
Left-sided Confidence Interval[ 103.185779117965 , +inf ]
Right-sided Confidence Interval[ -inf, 110.580454648268 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 77 \tabularnewline
Sample standard deviation & 19.4841190568208 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 106.883116883117 \tabularnewline
2-sided Confidence Interval & [ 102.46076432015 , 111.305469446084 ] \tabularnewline
Left-sided Confidence Interval & [ 103.185779117965 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  110.580454648268 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316134&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]77[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]19.4841190568208[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]106.883116883117[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 102.46076432015 , 111.305469446084 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 103.185779117965 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  110.580454648268 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316134&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316134&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 size77
Sample standard deviation19.4841190568208
Confidence0.95
Null hypothesis100
Sample Mean106.883116883117
2-sided Confidence Interval[ 102.46076432015 , 111.305469446084 ]
Left-sided Confidence Interval[ 103.185779117965 , +inf ]
Right-sided Confidence Interval[ -inf, 110.580454648268 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 100 ;
Parameters (R input):
par1 = 0.95 ; par2 = 100 ;
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')