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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, 22 Dec 2011 07:57:56 -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/22/t1324558801iw66enchm0r41pu.htm/, Retrieved Fri, 31 Oct 2025 10:04:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159391, Retrieved Fri, 31 Oct 2025 10:04:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193

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] [] [2010-10-25 13:12:27] [b98453cac15ba1066b407e146608df68]
- R PD    [Testing Mean with unknown Variance - Critical Value] [Hypothese mannen] [2011-12-22 12:57:56] [76a85a4cc6ea7903d92a0f5b9d2872d3] [Current]
-   PD      [Testing Mean with unknown Variance - Critical Value] [hypothese oordopjes] [2011-12-22 13:23:49] [22f8bc702946f784836540059d0d9516]
-   P         [Testing Mean with unknown Variance - Critical Value] [hypothese oordopj...] [2011-12-22 13:25:48] [22f8bc702946f784836540059d0d9516]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
30
35
24
12
16
12
17
13
18
11
25
35
33
12
18
18
11
17
14
19
11
37
12
19
11
13
17
15
13
17
12
14
16
11
27
38
14
34
16
34
36
11
11
23
28
19
15
23
23

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159391&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159391&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159391&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size49
Sample standard deviation8.47033639470451
Confidence0.99
Null hypothesis17
Sample Mean19.5918367346939
2-sided Confidence Interval[ 16.3462409650511 , 22.8374325043367 ]
Left-sided Confidence Interval[ 16.6797577424309 , +inf ]
Right-sided Confidence Interval[ -inf, 22.5039157269568 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 49 \tabularnewline
Sample standard deviation & 8.47033639470451 \tabularnewline
Confidence & 0.99 \tabularnewline
Null hypothesis & 17 \tabularnewline
Sample Mean & 19.5918367346939 \tabularnewline
2-sided Confidence Interval & [ 16.3462409650511 , 22.8374325043367 ] \tabularnewline
Left-sided Confidence Interval & [ 16.6797577424309 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  22.5039157269568 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159391&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]49[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]8.47033639470451[/C][/ROW]
[ROW][C]Confidence[/C][C]0.99[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]17[/C][/ROW]
[ROW][C]Sample Mean[/C][C]19.5918367346939[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 16.3462409650511 , 22.8374325043367 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 16.6797577424309 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  22.5039157269568 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159391&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159391&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 size49
Sample standard deviation8.47033639470451
Confidence0.99
Null hypothesis17
Sample Mean19.5918367346939
2-sided Confidence Interval[ 16.3462409650511 , 22.8374325043367 ]
Left-sided Confidence Interval[ 16.6797577424309 , +inf ]
Right-sided Confidence Interval[ -inf, 22.5039157269568 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.99 ; par2 = 17 ;
Parameters (R input):
par1 = 0.99 ; par2 = 17 ;
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')