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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 computationSun, 24 Oct 2010 14:08:14 +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/24/t1287929223rtcqq4bu368pyej.htm/, Retrieved Fri, 28 Nov 2025 21:06:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87853, Retrieved Fri, 28 Nov 2025 21:06:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact626

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
F   PD    [Testing Mean with unknown Variance - Critical Value] [task 4: academic ...] [2010-10-22 07:53:14] [18a20458ff88c9ba38344d123a9464bc]
F    D      [Testing Mean with unknown Variance - Critical Value] [task 5: academic ...] [2010-10-22 08:06:35] [18a20458ff88c9ba38344d123a9464bc]
-   P           [Testing Mean with unknown Variance - Critical Value] [task 8: academic ...] [2010-10-24 14:08:14] [1b6bbf3cf94635fe119752c144706ab0] [Current]
-                 [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 20:36:11] [76e72a1b37cce9a27058d2e4927e5bf5]
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 20:57:03] [5278e0a58c5de897b31ce79607e774d7]
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 20:58:32] [5278e0a58c5de897b31ce79607e774d7]
-                 [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 22:46:18] [6e5489189f7de5cfbcc25dd35ae15009]
- R PD            [Testing Mean with unknown Variance - Critical Value] [vraag 1 - hypothe...] [2010-11-11 19:41:58] [82643889efeee0b265cd2ff213e5137b]
- R PD            [Testing Mean with unknown Variance - Critical Value] [] [2010-11-11 19:45:04] [82643889efeee0b265cd2ff213e5137b]
- R PD            [Testing Mean with unknown Variance - Critical Value] [Vraag 1 - hypothe...] [2010-11-11 19:45:04] [82643889efeee0b265cd2ff213e5137b]
-                   [Testing Mean with unknown Variance - Critical Value] [] [2010-11-18 18:13:42] [f47feae0308dca73181bb669fbad1c56]
- R PD            [Testing Mean with unknown Variance - Critical Value] [vraag 1 - hypothe...] [2010-11-11 19:47:31] [82643889efeee0b265cd2ff213e5137b]
-                   [Testing Mean with unknown Variance - Critical Value] [] [2010-11-18 18:15:51] [f47feae0308dca73181bb669fbad1c56]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19
25
17
22
21
26
20
14
23
20
22
15
20
22
20
28
25
26
17
23
13
24
14
22
23
22
24
21
23
22
21
26
15
25
17
25
27
25
19
26
20
20
18
18
19
23
17
23
23
11
18
24
16
24
24
21
25
22
21
24
24
21
18

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'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 & 1 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87853&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87853&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87853&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Hypothesis Test about the Mean - Confidence Interval
Sample size63
Sample standard deviation3.71225672258781
Confidence0.65
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.7182956568817 , 21.5991646605786 ]
Left-sided Confidence Interval[ 20.9776784112443 , +inf ]
Right-sided Confidence Interval[ -inf, 21.339781906216 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.65 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.7182956568817 , 21.5991646605786 ] \tabularnewline
Left-sided Confidence Interval & [ 20.9776784112443 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.339781906216 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87853&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.71225672258781[/C][/ROW]
[ROW][C]Confidence[/C][C]0.65[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.7182956568817 , 21.5991646605786 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.9776784112443 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.339781906216 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87853&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87853&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 size63
Sample standard deviation3.71225672258781
Confidence0.65
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.7182956568817 , 21.5991646605786 ]
Left-sided Confidence Interval[ 20.9776784112443 , +inf ]
Right-sided Confidence Interval[ -inf, 21.339781906216 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.65 ; par2 = 20 ;
Parameters (R input):
par1 = 0.65 ; par2 = 20 ;
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')