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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 computationTue, 26 Oct 2010 14:30:50 +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/Oct/26/t12881033790uc7b5vhvh2yecf.htm/, Retrieved Mon, 28 Sep 2026 12:22:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89211, Retrieved Mon, 28 Sep 2026 12:22:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact543

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] [Task 2: nulhypoth...] [2010-10-24 14:45:10] [6ca0fc48dd5333d51a15728999009c83]
F   PD    [Testing Mean with unknown Variance - Critical Value] [WS4 taak2 (groep T)] [2010-10-26 14:30:50] [3ee4962e6ce79244b15c133e74cea133] [Current]
Feedback Forum
2010-10-31 12:02:40 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
De student heeft hier wel de correcte softwaremodule gebruikt, maar datgene wat woordelijk geformuleerd werd als nulhypothese en datgene wat werkelijk werd getest komt niet overeen. De student onderzoekt als nulhypothese μ = 0, wat overeenkomt met ervan uitgaan dat de treatments geen effect hebben.

Als we dit toepassen op deze berekening kunnen we stellen dat 0 niet gelegen is in het betrouwbaarheidsinterval en dat we bijgevolg de nulhypothese zullen verwerpen. Dit betekent dat we de alternatieve hypothese – de treatment heeft wel effect – zullen aanvaarden.
2010-11-02 19:59:49 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De nulhypothese moet hier verworpen worden want de kritieke waarde is 0.629250852395173. Deze is groter dan de nulhypothese. De nulhypothese moet dus verworpen worden want 0 ligt niet in het betrouwbaarheidsinterval.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4
0
5
0
0
0
0
1
5
1
4
1
3
1
0
0
1
0
1
2
2
1
2
-1
3
-1
0
0
1
0
-1
4
0
1
0
0
4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89211&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]2 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=89211&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89211&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 time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Hypothesis Test about the Mean - Confidence Interval
Sample size37
Sample standard deviation1.69702088374889
Confidence0.95
Null hypothesis0
Sample Mean1.18918918918919
2-sided Confidence Interval[ 0.623374256134267 , 1.75500412224411 ]
Left-sided Confidence Interval[ 0.718173517515205 , +inf ]
Right-sided Confidence Interval[ -inf, 1.66020486086317 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 1.69702088374889 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.18918918918919 \tabularnewline
2-sided Confidence Interval & [ 0.623374256134267 , 1.75500412224411 ] \tabularnewline
Left-sided Confidence Interval & [ 0.718173517515205 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.66020486086317 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89211&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]37[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.69702088374889[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]1.18918918918919[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.623374256134267 , 1.75500412224411 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.718173517515205 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.66020486086317 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89211&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89211&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 size37
Sample standard deviation1.69702088374889
Confidence0.95
Null hypothesis0
Sample Mean1.18918918918919
2-sided Confidence Interval[ 0.623374256134267 , 1.75500412224411 ]
Left-sided Confidence Interval[ 0.718173517515205 , +inf ]
Right-sided Confidence Interval[ -inf, 1.66020486086317 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ;
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')