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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 computationMon, 25 Oct 2010 17:39:25 +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/25/t12880282971p9lmgs3kau08fl.htm/, Retrieved Mon, 29 Apr 2024 18:02:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88251, Retrieved Mon, 29 Apr 2024 18:02:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact162

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]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Vraag 4] [2010-10-25 17:33:51] [39c51da0be01189e8a44eb69e891b7a1]
F   P         [Testing Mean with unknown Variance - Critical Value] [vraag 4] [2010-10-25 17:39:25] [ecfb965f5669057f3ac5b58964283289] [Current]
-   P           [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:11:09] [1908ef7bb1a3d37a854f5aaad1a1c348]
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:16:58] [1908ef7bb1a3d37a854f5aaad1a1c348]
- RM                [One Sample Tests about the Mean] [] [2010-10-26 18:26:29] [1908ef7bb1a3d37a854f5aaad1a1c348]
- RM D            [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-26 18:32:30] [1908ef7bb1a3d37a854f5aaad1a1c348]
-                   [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-26 18:35:17] [1908ef7bb1a3d37a854f5aaad1a1c348]
- RM                [Testing Mean with known Variance - Sample Size] [] [2010-10-26 18:40:51] [1908ef7bb1a3d37a854f5aaad1a1c348]
-                     [Testing Mean with known Variance - Sample Size] [] [2010-10-26 18:42:23] [1908ef7bb1a3d37a854f5aaad1a1c348]
- RM                  [Minimum Sample Size - Testing Mean] [] [2010-10-26 18:55:45] [1908ef7bb1a3d37a854f5aaad1a1c348]
Feedback Forum
2010-10-31 11:06:41 [Rik Goetschalckx] [reply] 
Een kleine verbetering is dat we de waarde van de nulhypothese vergelijken met het interval en niet de sample mean. 20 valt binnen het interval dus we aanvaarden de nulhypothese. Het gemiddelde van de mannelijke studenten verschillend niet significant van 20 dus mogen we 20 als gemiddelde gebruiken.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
20
19
19
20
25
25
22
26
22
17
22
19
24
26
21
13
26
20
22
14
21
7
23
17
25
25
19
20
23
22
22
21
15
20
22
18
20
28
22
18
23
20
25
26
15
17
23
21
13
18
19
22
16
24
18
20
24
14
22
24
18
21
23
17
22
24
21
22
16
21
23
22
24
24
16
16
21
26
15
25
18
23
20
17
25
24
17
19
20
15
27
22
23
16
19

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88251&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88251&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88251&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Hypothesis Test about the Mean - Confidence Interval
Sample size96
Sample standard deviation3.7444110398149
Confidence0.95
Null hypothesis20
Sample Mean20.6458333333333
2-sided Confidence Interval[ 19.8871451416160 , 21.4045215250507 ]
Left-sided Confidence Interval[ 20.011041864963 , +inf ]
Right-sided Confidence Interval[ -inf, 21.2806248017037 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 96 \tabularnewline
Sample standard deviation & 3.7444110398149 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 20.6458333333333 \tabularnewline
2-sided Confidence Interval & [ 19.8871451416160 , 21.4045215250507 ] \tabularnewline
Left-sided Confidence Interval & [ 20.011041864963 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.2806248017037 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88251&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]96[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.7444110398149[/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]20.6458333333333[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.8871451416160 , 21.4045215250507 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.011041864963 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.2806248017037 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88251&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88251&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 size96
Sample standard deviation3.7444110398149
Confidence0.95
Null hypothesis20
Sample Mean20.6458333333333
2-sided Confidence Interval[ 19.8871451416160 , 21.4045215250507 ]
Left-sided Confidence Interval[ 20.011041864963 , +inf ]
Right-sided Confidence Interval[ -inf, 21.2806248017037 ]


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')