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Author

*The author of this computation has been verified*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Sat, 27 Dec 2008 05:07:55 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/27/t1230379707x9uizla8190gk4h.htm/, Retrieved Sat, 18 May 2024 11:24:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36669, Retrieved Sat, 18 May 2024 11:24:33 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

219

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] [Paper - Testing m...] [2007-12-18 19:37:07] [5343e105a400b9e32bf6f011133bbaf4]
-    D    [Testing Mean with unknown Variance - Critical Value] [Residuwaardes Pro...] [2008-12-27 12:07:55] [46e37ee7550ef0ff8e9e103b4ae236a6] [Current]

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Dataseries X:

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Histogram

Boxplots

0.09
0.65
-1.53
-3.36
10.51
-1.02
-2.68
-9.75
3.64
9.5
-0.33
-0.99
3.16
4.27
-2.97
-7.49
0.33
-2.57
4.07
5.31
-8.09
5.29
7.38
-6.12
-3.38
-8.61
2.58
10.02
7.08
-2.75
3.42
-1.6
0.65
2.86
-3.52
5.65
4.31
-4.39
-5.85
-5.47
-2.3
-0.14
8.08
-7.43
0.02
-2.47
-2.11
7.87
4.66
3.6
-3.64
7.26
-7.62
13.83
1.28
-0.32
-2.9
4.92
11.99
10.06
-2.22
3.97
0.56
3.34
-2.86
4.38
1.43
-0.49
-1.23

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36669&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36669&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36669&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Hypothesis Test about the Mean - Confidence Interval
Sample size	69
Sample standard deviation	5.31488318291962
Confidence	0.95
Null hypothesis	0
Sample Mean	0.86695652173913
2-sided Confidence Interval	[ -0.40981782614489 , 2.14373086962315 ]
Left-sided Confidence Interval	[ -0.200017500170637 , +inf ]
Right-sided Confidence Interval	[ -inf, 1.9339305436489 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 69 \tabularnewline
Sample standard deviation & 5.31488318291962 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.86695652173913 \tabularnewline
2-sided Confidence Interval & [ -0.40981782614489 , 2.14373086962315 ] \tabularnewline
Left-sided Confidence Interval & [ -0.200017500170637 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.9339305436489 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36669&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]69[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]5.31488318291962[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.86695652173913[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.40981782614489 , 2.14373086962315 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.200017500170637 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.9339305436489 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36669&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36669&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size	69
Sample standard deviation	5.31488318291962
Confidence	0.95
Null hypothesis	0
Sample Mean	0.86695652173913
2-sided Confidence Interval	[ -0.40981782614489 , 2.14373086962315 ]
Left-sided Confidence Interval	[ -0.200017500170637 , +inf ]
Right-sided Confidence Interval	[ -inf, 1.9339305436489 ]

Parameters (Session):

par1 = 0.95 ; par2 = 0 ;

Parameters (R input):

par1 = 0.95 ; par2 = 0 ;

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')

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