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Author

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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Wed, 02 Dec 2015 19:50:19 +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/2015/Dec/02/t1449085907nhri9l7e8ftz8oo.htm/, Retrieved Fri, 17 May 2024 19:45:51 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284886, Retrieved Fri, 17 May 2024 19:45:51 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

103

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] [] [2015-10-24 09:52:55] [32b17a345b130fdf5cc88718ed94a974]
- R P   [Testing Mean with unknown Variance - Critical Value] [] [2015-11-07 09:00:23] [32b17a345b130fdf5cc88718ed94a974]
-   PD      [Testing Mean with unknown Variance - Critical Value] [hypothese mean - ...] [2015-12-02 19:50:19] [dde0885d390165e184eb3f8febefa56e] [Current]

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8
9.300000191
7.5
8.899999619
10.19999981
8.300000191
8.800000191
8.800000191
10.69999981
11.69999981
8.5
8.300000191
8.199999809
7.900000095
10.30000019
7.400000095
9.600000381
9.300000191
10.60000038
9.699999809
11.60000038
8.100000381
9.800000191
7.400000095
9.399999619
11.19999981
9.100000381
10.5
11.89999962
8.399999619
5
9.800000191
9.800000191
10.80000019
10.10000038
10.89999962
9.199999809
8.300000191
7.300000191
9.399999619
9.399999619
9.800000191
3.599999905
8.399999619
10.80000019
10.10000038
9
10
11.30000019
11.30000019
12.80000019
10
6.699999809

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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284886&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284886&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284886&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	53
Sample standard deviation	1.66252995904053
Confidence	0.95
Null hypothesis	50
Sample Mean	9.30566040971698
2-sided Confidence Interval	[ 8.84741039957081 , 9.76391041986315 ]
Left-sided Confidence Interval	[ 8.92321825808829 , +inf ]
Right-sided Confidence Interval	[ -inf, 9.68810256134567 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 53 \tabularnewline
Sample standard deviation & 1.66252995904053 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 9.30566040971698 \tabularnewline
2-sided Confidence Interval & [ 8.84741039957081 , 9.76391041986315 ] \tabularnewline
Left-sided Confidence Interval & [ 8.92321825808829 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  9.68810256134567 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284886&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]53[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.66252995904053[/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]9.30566040971698[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 8.84741039957081 , 9.76391041986315 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 8.92321825808829 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  9.68810256134567 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284886&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284886&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	53
Sample standard deviation	1.66252995904053
Confidence	0.95
Null hypothesis	50
Sample Mean	9.30566040971698
2-sided Confidence Interval	[ 8.84741039957081 , 9.76391041986315 ]
Left-sided Confidence Interval	[ 8.92321825808829 , +inf ]
Right-sided Confidence Interval	[ -inf, 9.68810256134567 ]

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')

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