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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, 15 Dec 2014 10:30:15 +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/2014/Dec/15/t141863944000rb6loylowmcb7.htm/, Retrieved Thu, 16 May 2024 08:28:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268038, Retrieved Thu, 16 May 2024 08:28:21 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact41

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] [hypothesis testin...] [2014-12-15 10:30:15] [5a1a6480a94cc63423bd5720e139a09a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6
6.5
5.5
6.5
4.5
2
5
0.5
5
5.5
3
0.5
6.5
7.5
5.5
4
7.5
4
3.5
2.5
4.5
4.5
6
2.5
0
5
6.5
5
6
5.5
1
6
5
1
5
6.5
7
4.5
8.5
7.5
3.5
9
3.5
6.5
7.5
7.5
6.5
1.5
0
5.5
5
7
0
4.5
1.5
2.5
5.5
8
1
5
3
3
8
5.5
0.5
7.5
9
9.5
7
8
7
9.5
4
6
8
5.5
9.5
7.5
7
8
7
7
6
10
2.5
8
6
8.5
6
9
5.5
9
8.5
9
9
7.5
10
8.5
10
6.5
8.5
8
7
7.5
7.5
9.5
6
7
10
3.5
6.5
6.5
8.5
4
8.5
10
8
5
4.5
8.5
7
8.5
7.5
7.5
5.5
8.5
7
6.5
6.5
10
10
7.5
4.5
4.5
0.5
4.5
5.5
5
8
8.5
8
5.5
5
3.5
9
5
3
0.5
6.5
4.5
8
7.5
9.5
6.5
6
8
5

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268038&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268038&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268038&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'Gwilym Jenkins' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size157
Sample standard deviation2.48126657478057
Confidence0.98
Null hypothesis50
Sample Mean6.01910828025478
2-sided Confidence Interval[ 5.55364886081727 , 6.48456769969228 ]
Left-sided Confidence Interval[ 5.60898257571633 , +inf ]
Right-sided Confidence Interval[ -inf, 6.42923398479322 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 157 \tabularnewline
Sample standard deviation & 2.48126657478057 \tabularnewline
Confidence & 0.98 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 6.01910828025478 \tabularnewline
2-sided Confidence Interval & [ 5.55364886081727 , 6.48456769969228 ] \tabularnewline
Left-sided Confidence Interval & [ 5.60898257571633 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  6.42923398479322 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268038&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]157[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]2.48126657478057[/C][/ROW]
[ROW][C]Confidence[/C][C]0.98[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]6.01910828025478[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 5.55364886081727 , 6.48456769969228 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 5.60898257571633 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  6.42923398479322 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268038&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268038&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 size157
Sample standard deviation2.48126657478057
Confidence0.98
Null hypothesis50
Sample Mean6.01910828025478
2-sided Confidence Interval[ 5.55364886081727 , 6.48456769969228 ]
Left-sided Confidence Interval[ 5.60898257571633 , +inf ]
Right-sided Confidence Interval[ -inf, 6.42923398479322 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.98 ; par2 = 50 ;
Parameters (R input):
par1 = 0.98 ; par2 = 50 ;
R code (references can be found in the software module):
par2 <- '50'
par1 <- '0.80'
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')