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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Sat, 06 Oct 2012 07:17:44 -0400

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/2012/Oct/06/t134952236839dkuslbekw4fhj.htm/, Retrieved Tue, 30 Apr 2024 13:12:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=172550, Retrieved Tue, 30 Apr 2024 13:12:45 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

106

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] [Hypothese 1] [2012-10-06 11:17:44] [cd784a0623f47f402dddaa62da6ddd9f] [Current]
- R       [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 11:22:47] [804e94d57d6cf1d4fdbaf6716baf8784] 
- R         [Testing Mean with unknown Variance - Critical Value] [question 2] [2012-10-08 17:59:42] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R         [Testing Mean with unknown Variance - Critical Value] [question 2] [2012-10-08 18:02:36] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R         [Testing Mean with unknown Variance - Critical Value] [question 2] [2012-10-08 18:07:51] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [WS4:Question 2] [2012-10-08 18:35:49] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [WS4:Question 2] [2012-10-08 18:42:07] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [WS4:Question 2] [2012-10-08 18:42:07] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [WS4: Question 3] [2012-10-08 18:58:25] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [WS4: Question 3] [2012-10-08 19:03:43] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [WS4: Question 3] [2012-10-08 19:06:29] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [WS4: Question 4] [2012-10-08 19:17:18] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [WS4:Question 5] [2012-10-08 19:19:45] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 11:27:16] [804e94d57d6cf1d4fdbaf6716baf8784] 
-    D    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 11:31:19] [804e94d57d6cf1d4fdbaf6716baf8784] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 11:49:42] [804e94d57d6cf1d4fdbaf6716baf8784] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 11:50:20] [804e94d57d6cf1d4fdbaf6716baf8784] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 11:51:31] [804e94d57d6cf1d4fdbaf6716baf8784] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 12:06:49] [804e94d57d6cf1d4fdbaf6716baf8784] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 12:14:40] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMPD    [One Sample Tests about the Mean] [] [2012-10-06 12:16:06] [804e94d57d6cf1d4fdbaf6716baf8784] 
- R  D      [One Sample Tests about the Mean] [One sided] [2012-10-08 19:00:01] [86dcce9422b96d4554cb918e531c1d5d] 
- RMP       [One Sample Tests about the Mean] [WS4: Question 6] [2012-10-08 19:25:09] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- R PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 12:20:01] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMP       [Testing Mean with unknown Variance - Critical Value] [WS4: Question 7] [2012-10-08 19:27:07] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2012-10-06 12:22:31] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMP       [Testing Mean with unknown Variance - Critical Value] [Ws4: Question 7b] [2012-10-08 19:28:28] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- RMPD    [Variability] [] [2012-10-06 12:34:33] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMPD      [Testing Variance - Critical Value (Region)] [WS4 0299787] [2012-10-08 15:32:09] [a2dcdd13e1df6929c5c71aa45a46cc8e] 
- RMPD      [Testing Variance - Critical Value (Region)] [WS4 0299787] [2012-10-08 15:39:23] [a2dcdd13e1df6929c5c71aa45a46cc8e] 
- RMPD      [Minimum Sample Size - Testing Mean] [WS4 0299787] [2012-10-08 15:47:22] [a2dcdd13e1df6929c5c71aa45a46cc8e] 
- RM        [Variability] [WS4: Question 8a] [2012-10-08 19:30:44] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- RMPD    [Testing Variance - Critical Value (Region)] [] [2012-10-06 12:37:01] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMP       [Testing Variance - Critical Value (Region)] [WS4: Question 8b] [2012-10-08 19:34:04] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- RMPD    [Testing Variance - Critical Value (Region)] [] [2012-10-06 12:38:24] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMP       [Testing Variance - Critical Value (Region)] [WS4: Question 8c] [2012-10-08 19:36:23] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- RMPD    [Variability] [] [2012-10-06 12:40:09] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RM        [Variability] [WS4: Question 8d] [2012-10-08 19:37:52] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- RMPD    [Testing Variance - Critical Value (Region)] [] [2012-10-06 12:41:45] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RM        [Testing Variance - Critical Value (Region)] [WS4: Question 8e] [2012-10-08 19:38:58] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- RMPD    [Testing Variance - Critical Value (Region)] [] [2012-10-06 12:42:39] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RM        [Testing Variance - Critical Value (Region)] [WS4: Question 8f] [2012-10-08 19:40:12] [2c4ddb4bf62114b8025bb962e2c7a2b5] 
- RMPD    [Minimum Sample Size - Testing Mean] [] [2012-10-06 12:53:29] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMPD    [Minimum Sample Size - Testing Mean] [] [2012-10-06 12:55:53] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RMPD    [Minimum Sample Size - Testing Mean] [] [2012-10-06 13:01:52] [804e94d57d6cf1d4fdbaf6716baf8784] 
- RM        [Minimum Sample Size - Testing Mean] [WS4: Question 11] [2012-10-08 19:43:21] [2c4ddb4bf62114b8025bb962e2c7a2b5] 

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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=172550&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=172550&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172550&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	33
Sample standard deviation	0.435194139889245
Confidence	0.95
Null hypothesis	0
Sample Mean	0.757575757575758
2-sided Confidence Interval	[ 0.603262625495447 , 0.911888889656068 ]
Left-sided Confidence Interval	[ 0.629250852395173 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.885900662756342 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 33 \tabularnewline
Sample standard deviation & 0.435194139889245 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.757575757575758 \tabularnewline
2-sided Confidence Interval & [ 0.603262625495447 , 0.911888889656068 ] \tabularnewline
Left-sided Confidence Interval & [ 0.629250852395173 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.885900662756342 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172550&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]33[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.435194139889245[/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]0.757575757575758[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.603262625495447 , 0.911888889656068 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.629250852395173 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.885900662756342 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172550&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172550&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	33
Sample standard deviation	0.435194139889245
Confidence	0.95
Null hypothesis	0
Sample Mean	0.757575757575758
2-sided Confidence Interval	[ 0.603262625495447 , 0.911888889656068 ]
Left-sided Confidence Interval	[ 0.629250852395173 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.885900662756342 ]

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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