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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

Mon, 15 Dec 2014 11:46:10 +0000

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/2014/Dec/15/t1418643995h62509rqq2onvfo.htm/, Retrieved Sun, 19 May 2024 13:36:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268154, Retrieved Sun, 19 May 2024 13:36:44 +0000

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Estimated Impact

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 20:51:55] [b98453cac15ba1066b407e146608df68]
- RM    [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 19:37:53] [9922f47a08b670aeeb7c38448acbfea1]
-   PD      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-15 11:46:10] [e9774d91d06602b4e3bbce6871390c37] [Current]

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Dataseries X:

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Histogram

Boxplots

1 26 50 4 0
1 37 54 5 0
1 67 71 4 1
1 43 54 4 1
1 52 65 9 1
1 52 73 8 0
1 43 52 11 1
1 84 84 4 1
1 67 42 4 1
1 49 66 6 1
1 70 65 4 1
1 58 73 4 0
1 68 75 4 0
0 62 72 11 0
1 43 66 4 1
1 56 70 4 0
1 74 81 6 0
1 63 69 8 1
1 58 71 5 0
1 63 68 9 1
1 53 70 4 1
0 57 68 7 1
1 64 67 4 1
1 53 76 4 0
1 29 70 7 0
1 54 60 12 0
1 58 72 7 1
1 51 71 8 1
1 54 70 4 0
0 56 64 9 1
1 47 76 4 0
1 50 68 4 1
1 35 76 4 1
0 30 65 7 1
1 68 67 4 0
0 56 75 4 1
1 43 60 4 1
0 67 73 4 1
1 62 63 4 1
1 57 70 4 1
1 54 66 12 1
1 61 64 4 1
1 56 70 5 0
1 41 75 15 0
1 53 60 10 0
1 46 66 5 1
1 51 59 9 0
1 37 78 4 0
1 42 67 7 0
0 38 59 5 1
1 66 66 4 0
1 53 71 4 1
0 49 66 4 0
0 49 72 4 0
0 59 71 6 1
0 40 59 10 0
0 63 78 4 0
0 34 65 11 1
0 32 65 14 0
0 67 71 4 0
0 61 72 4 1
0 60 66 5 0
0 63 69 4 0

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	'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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268154&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268154&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268154&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	'Gertrude Mary Cox' @ cox.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	63
Sample standard deviation	3779786.0658398
Confidence	0.95
Null hypothesis	20
Sample Mean	2565970.52380952
2-sided Confidence Interval	[ 1614043.73027513 , 3517897.31734392 ]
Left-sided Confidence Interval	[ 1770795.95093245 , +inf ]
Right-sided Confidence Interval	[ -inf, 3361145.09668659 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3779786.0658398 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 2565970.52380952 \tabularnewline
2-sided Confidence Interval & [ 1614043.73027513 , 3517897.31734392 ] \tabularnewline
Left-sided Confidence Interval & [ 1770795.95093245 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  3361145.09668659 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268154&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3779786.0658398[/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]2565970.52380952[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 1614043.73027513 , 3517897.31734392 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 1770795.95093245 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  3361145.09668659 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268154&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268154&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	63
Sample standard deviation	3779786.0658398
Confidence	0.95
Null hypothesis	20
Sample Mean	2565970.52380952
2-sided Confidence Interval	[ 1614043.73027513 , 3517897.31734392 ]
Left-sided Confidence Interval	[ 1770795.95093245 , +inf ]
Right-sided Confidence Interval	[ -inf, 3361145.09668659 ]

Parameters (Session):

par1 = pearson ;

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')

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