FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 11 Nov 2010 16:00:30 +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/Nov/11/t1289491228nmkg1cmj6lxiakq.htm/, Retrieved Fri, 26 Apr 2024 19:15:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=93502, Retrieved Fri, 26 Apr 2024 19:15:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Testing Mean with unknown Variance - Critical Value] [Two sided null hy...] [2010-11-11 16:00:30] [d42b17bf3b3c0d56878eb3f5a4351e6d] [Current]
-    D    [Testing Mean with unknown Variance - Critical Value] [Question 5] [2010-11-11 16:14:08] [1ec36cc0fd92fd0f07d0b885ce2c369b]
Feedback Forum
2010-11-17 15:29:32 [889b1b898a3f6bd491dbb8e46e486dd2] [reply] 
Beste,

De input die je gebruikt hebt, zijn volgens mij verkeerd. Je steekproefgrootte is 162, terwijl dat bij de oplossing 98 is. Ook zou de nulhypothese 20 moeten zijn, in plaats van 50.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5026
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
25
19
19
26
21
20
24
22
20
18
18
24
24
22
23
22
20
18
25
18
16
20
19
15
19
19
16
17
28
23
25
20
17
23
16
23
11
18
24
23
21
16
24
23
18
20
9
24
25
20
21
25
22
21
21
22
27
24
24
21
18
16
22
20
18
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=93502&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=93502&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93502&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 size162
Sample standard deviation393.277457206426
Confidence0.95
Null hypothesis50
Sample Mean51.5061728395062
2-sided Confidence Interval[ -9.51301796405232 , 112.525363643065 ]
Left-sided Confidence Interval[ 0.388038538329489 , +inf ]
Right-sided Confidence Interval[ -inf, 102.624307140683 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 162 \tabularnewline
Sample standard deviation & 393.277457206426 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 51.5061728395062 \tabularnewline
2-sided Confidence Interval & [ -9.51301796405232 , 112.525363643065 ] \tabularnewline
Left-sided Confidence Interval & [ 0.388038538329489 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  102.624307140683 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93502&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]393.277457206426[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]51.5061728395062[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -9.51301796405232 , 112.525363643065 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.388038538329489 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  102.624307140683 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93502&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93502&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 deviation393.277457206426
Confidence0.95
Null hypothesis50
Sample Mean51.5061728395062
2-sided Confidence Interval[ -9.51301796405232 , 112.525363643065 ]
Left-sided Confidence Interval[ 0.388038538329489 , +inf ]
Right-sided Confidence Interval[ -inf, 102.624307140683 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 50 ;
Parameters (R input):
par1 = 0.95 ; par2 = 50 ;
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')