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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 computationWed, 22 Oct 2014 14:38:16 +0100
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/Oct/22/t1413985109a0pjpld9pb6wu99.htm/, Retrieved Sun, 12 May 2024 23:37:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=245090, Retrieved Sun, 12 May 2024 23:37:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

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 13:29:15] [b98453cac15ba1066b407e146608df68]
- RMP   [Testing Mean with unknown Variance - Critical Value] [] [2014-10-07 07:54:50] [32b17a345b130fdf5cc88718ed94a974]
-   PD      [Testing Mean with unknown Variance - Critical Value] [berekening 4 ws 4] [2014-10-22 13:38:16] [7a1e4aa716fa470b229f9a588aa7ea03] [Current]
-    D        [Testing Mean with unknown Variance - Critical Value] [berekening 5 ws 4] [2014-10-22 13:43:23] [b007041690f75f30ec26eb43925b7b35]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21
16
19
18
16
23
17
12
19
16
19
20
13
20
27
17
8
25
26
13
19
15
5
16
14
24
24
9
19
19
25
19
18
15
12
21
12
15
28
25
19
20
24
26
25
12
12
15
17
14
16
11
20
11
22
20
19
17
21
23
18
17
27
25
19
22
24
20
19
11
22
22
16
20
24
16
16
22
24
16
27
11
21
20
20
27
20
12
8
21
18
24
16
18
20
20
19
17
16
26
15
22
17
23
21
19
14
17
12
24
18
20
16
20
22
12
16
17
22
12
14
23
15
17
28
20
23
13
18
23
19
23
12
16
23
13
22
18
23
20
10
17
18
15
23
17
17
22
20
20
19
18
22
20
22
18
16
16
16
16
17
18

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=245090&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]0 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=245090&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=245090&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 time0 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size162
Sample standard deviation4.43887245613676
Confidence0.95
Null hypothesis20
Sample Mean18.537037037037
2-sided Confidence Interval[ 17.8483212197673 , 19.2257528543067 ]
Left-sided Confidence Interval[ 17.9600731806025 , +inf ]
Right-sided Confidence Interval[ -inf, 19.1140008934716 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 162 \tabularnewline
Sample standard deviation & 4.43887245613676 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 18.537037037037 \tabularnewline
2-sided Confidence Interval & [ 17.8483212197673 , 19.2257528543067 ] \tabularnewline
Left-sided Confidence Interval & [ 17.9600731806025 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  19.1140008934716 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=245090&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]162[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.43887245613676[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]18.537037037037[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 17.8483212197673 , 19.2257528543067 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 17.9600731806025 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  19.1140008934716 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=245090&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=245090&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 size162
Sample standard deviation4.43887245613676
Confidence0.95
Null hypothesis20
Sample Mean18.537037037037
2-sided Confidence Interval[ 17.8483212197673 , 19.2257528543067 ]
Left-sided Confidence Interval[ 17.9600731806025 , +inf ]
Right-sided Confidence Interval[ -inf, 19.1140008934716 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.95 ; 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')