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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, 25 Oct 2018 11:41:11 +0200
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/Oct/25/t1540460504hwglv6a3acw6ril.htm/, Retrieved Sat, 14 Feb 2026 05:00:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315591, Retrieved Sat, 14 Feb 2026 05:00:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact389

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] [5.10] [2018-10-25 09:41:11] [faeb7b06c531293c72cd094586d8c91e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
50
48
44
56
61
52
53
55
67
51

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=315591&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=315591&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315591&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 size10
Sample standard deviation6.56675126849055
Confidence0.95
Null hypothesis50
Sample Mean53.7
2-sided Confidence Interval[ 49.0024291302937 , 58.3975708697063 ]
Left-sided Confidence Interval[ 49.8933776949979 , +inf ]
Right-sided Confidence Interval[ -inf, 57.5066223050021 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 10 \tabularnewline
Sample standard deviation & 6.56675126849055 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 53.7 \tabularnewline
2-sided Confidence Interval & [ 49.0024291302937 , 58.3975708697063 ] \tabularnewline
Left-sided Confidence Interval & [ 49.8933776949979 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  57.5066223050021 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315591&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]10[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]6.56675126849055[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]53.7[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 49.0024291302937 , 58.3975708697063 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 49.8933776949979 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  57.5066223050021 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315591&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315591&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 size10
Sample standard deviation6.56675126849055
Confidence0.95
Null hypothesis50
Sample Mean53.7
2-sided Confidence Interval[ 49.0024291302937 , 58.3975708697063 ]
Left-sided Confidence Interval[ 49.8933776949979 , +inf ]
Right-sided Confidence Interval[ -inf, 57.5066223050021 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 50 ;
Parameters (R input):
par1 = 0.95 ; par2 = 50 ;
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')