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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 computationFri, 22 Oct 2010 12:31:07 +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/22/t1287750599h8ruhj19bj48454.htm/, Retrieved Mon, 29 Apr 2024 08:25:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87424, Retrieved Mon, 29 Apr 2024 08:25:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134

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] [Question 4] [2010-10-22 12:31:07] [cfd788255f1b1b5389e58d7f218c70bf] [Current]
F    D        [Testing Mean with unknown Variance - Critical Value] [Question 5] [2010-10-22 12:33:09] [4a7069087cf9e0eda253aeed7d8c30d6]
F RM D        [Testing Variance - Critical Value (Region)] [Question 8 - Male] [2010-10-22 12:59:04] [4a7069087cf9e0eda253aeed7d8c30d6]
- R             [Testing Variance - Critical Value (Region)] [Question - Female] [2010-10-22 13:00:00] [4a7069087cf9e0eda253aeed7d8c30d6]
F RM            [Testing Mean with known Variance - Sample Size] [Question 9] [2010-10-22 13:09:22] [4a7069087cf9e0eda253aeed7d8c30d6]
F                 [Testing Mean with known Variance - Sample Size] [Question 10] [2010-10-22 13:11:50] [4a7069087cf9e0eda253aeed7d8c30d6]
F RM              [Minimum Sample Size - Testing Mean] [Question 11] [2010-10-22 13:15:08] [4a7069087cf9e0eda253aeed7d8c30d6]
Feedback Forum
2010-11-02 15:27:25 [4d4f7d38b8a37a3fb90a9939352fc7e6] [reply] 
Het resultaat toont ons dat mannen een gemiddelde motivatie hebben van rond de 20. Omdat 20 in het 95% interval ligt ([ 19.5619876187585 , 21.0094409526700 ]).
2010-11-03 14:13:58 [07e9eb4976a13216fde13362eef7fcc8] [reply] 
De gekozen nulhypothese van “20” valt binnen het interval [ 19.5619876187585 , 21.0094409526700 ] en wordt dus aanvaard.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
20
19
  
20
25
  
22
26
22
  
  
19
24
26
  
13
  
  
22
  
21
7
  
17
25
25
19
  
23
  
22
21
  
  
  
18
  
  
22
18
23
20
  
  
15
  
  
21
  
18
19
22
16
  
18
20
24
  
  
24
18
21
  
17
  
  
  
22
16
21
  
  
24
24
16
16
  
  
  
  
18
  
20
  
  
24
17
19
20
15
  
22
23
16
19
  
19
  
  
21
  
24
22
  
18
  
24
24
22
23
22
20
18
25
  
16
20
  
15
19
19
16
17
28
  
25
20
  
  
16
  
  
  
  
23
21
  
  
23
18
20
9
  
25
20
  
  
  
  
21
22
27
  
  
  
18
16
22
20
  
20

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=87424&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=87424&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87424&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 size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 3.60983764663337 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 20.2857142857143 \tabularnewline
2-sided Confidence Interval & [ 19.5619876187585 , 21.00944095267 ] \tabularnewline
Left-sided Confidence Interval & [ 19.6801369145128 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.8912916569158 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87424&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.60983764663337[/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]20.2857142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.5619876187585 , 21.00944095267 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.6801369145128 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.8912916569158 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87424&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87424&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 size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0.466666667 ;
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')