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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

Fri, 21 Oct 2011 07:11:04 -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/2011/Oct/21/t13191954872raesbqkwax1zf5.htm/, Retrieved Thu, 16 May 2024 16:40:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=133491, Retrieved Thu, 16 May 2024 16:40:57 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

148

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] [2011-10-21 11:11:04] [f9bdb25068ab2a4592adc645515299ca] [Current]
- R  D    [Testing Mean with unknown Variance - Critical Value] [Hypothese 2] [2011-10-21 11:19:50] [74b1e5a3104ff0b2404b2865a63336ad] 
-    D      [Testing Mean with unknown Variance - Critical Value] [Hypothese 3] [2011-10-21 11:22:29] [74b1e5a3104ff0b2404b2865a63336ad] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [Intrinsic motivat...] [2011-10-21 11:51:22] [74b1e5a3104ff0b2404b2865a63336ad] 
- R  D        [Testing Mean with unknown Variance - Critical Value] [I1M] [2011-10-21 11:57:43] [74b1e5a3104ff0b2404b2865a63336ad] 
- R  D        [Testing Mean with unknown Variance - Critical Value] [I1M] [2011-10-21 11:57:43] [74b1e5a3104ff0b2404b2865a63336ad] 
-    D        [Testing Mean with unknown Variance - Critical Value] [I1M] [2011-10-21 12:00:34] [74b1e5a3104ff0b2404b2865a63336ad] 
- R  D          [Testing Mean with unknown Variance - Critical Value] [I1F] [2011-10-21 12:05:54] [74b1e5a3104ff0b2404b2865a63336ad] 
-   PD            [Testing Mean with unknown Variance - Critical Value] [I1F] [2011-10-21 14:09:08] [74b1e5a3104ff0b2404b2865a63336ad] 
- RMP           [One Sample Tests about the Mean] [P-value Q4] [2011-10-21 13:53:21] [74b1e5a3104ff0b2404b2865a63336ad] 
- R  D            [One Sample Tests about the Mean] [P-value Q5] [2011-10-21 14:01:42] [74b1e5a3104ff0b2404b2865a63336ad] 
- R P           [Testing Mean with unknown Variance - Critical Value] [I1M] [2011-10-21 14:05:57] [74b1e5a3104ff0b2404b2865a63336ad] 
- R PD    [Testing Mean with unknown Variance - Critical Value] [WS IV question 2 ...] [2011-10-22 14:23:50] [74be16979710d4c4e7c6647856088456] 
-   PD      [Testing Mean with unknown Variance - Critical Value] [WS IV question 2 ...] [2011-10-22 14:27:50] [74be16979710d4c4e7c6647856088456] 
-    D        [Testing Mean with unknown Variance - Critical Value] [WS IV question 2 ...] [2011-10-22 14:30:36] [74be16979710d4c4e7c6647856088456] 
-    D    [Testing Mean with unknown Variance - Critical Value] [WS IV question 2 ...] [2011-10-25 17:27:02] [7c680a04865e75aa8ab422cdbfd97ac3] 
-    D    [Testing Mean with unknown Variance - Critical Value] [WS IV question 2 ...] [2011-10-25 17:29:47] [7c680a04865e75aa8ab422cdbfd97ac3] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [WS IV question 2 ...] [2011-10-25 17:31:59] [7c680a04865e75aa8ab422cdbfd97ac3] 
-    D        [Testing Mean with unknown Variance - Critical Value] [WS IV question 2 ...] [2011-10-25 17:33:46] [7c680a04865e75aa8ab422cdbfd97ac3] 
- R  D    [Testing Mean with unknown Variance - Critical Value] [Hypothese toets T...] [2011-12-22 15:11:11] [74b1e5a3104ff0b2404b2865a63336ad] 
- RMPD    [One Sample Tests about the Mean] [Hypothese toets T...] [2011-12-22 15:57:37] [74b1e5a3104ff0b2404b2865a63336ad] 
- RMPD    [Paired and Unpaired Two Samples Tests about the Mean] [Two sample T-test...] [2011-12-22 16:47:23] [74b1e5a3104ff0b2404b2865a63336ad] 
- RMPD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Vergelijking Trea...] [2011-12-22 17:27:18] [74b1e5a3104ff0b2404b2865a63336ad] 
- RMPD    [Two-Way ANOVA] [Anova two-way : T...] [2011-12-22 18:43:38] [74b1e5a3104ff0b2404b2865a63336ad] 
- RMPD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-kwadraat - Co...] [2011-12-22 19:15:31] [74b1e5a3104ff0b2404b2865a63336ad] 

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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	'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=133491&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=133491&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=133491&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	'AstonUniversity' @ aston.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	37
Sample standard deviation	0.515524747966347
Confidence	0.95
Null hypothesis	0
Sample Mean	0.108108108108108
2-sided Confidence Interval	[ -0.063776400534094 , 0.27999261675031 ]
Left-sided Confidence Interval	[ -0.0349780717693695 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.251194287985586 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 0.515524747966347 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.108108108108108 \tabularnewline
2-sided Confidence Interval & [ -0.063776400534094 , 0.27999261675031 ] \tabularnewline
Left-sided Confidence Interval & [ -0.0349780717693695 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.251194287985586 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=133491&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]37[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.515524747966347[/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]0.108108108108108[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.063776400534094 , 0.27999261675031 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.0349780717693695 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.251194287985586 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=133491&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=133491&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	37
Sample standard deviation	0.515524747966347
Confidence	0.95
Null hypothesis	0
Sample Mean	0.108108108108108
2-sided Confidence Interval	[ -0.063776400534094 , 0.27999261675031 ]
Left-sided Confidence Interval	[ -0.0349780717693695 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.251194287985586 ]

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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