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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 07:57:23 -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/t1319198259m2fvdpah987mnfe.htm/, Retrieved Thu, 20 Feb 2025 19:12:36 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=133515, Retrieved Thu, 20 Feb 2025 19:12:36 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

156

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
- R PD    [Testing Mean with unknown Variance - Critical Value] [Fabrice Skaric - ...] [2011-10-21 11:51:25] [60c0c94f647e2c90e494ab0f2a2f1926]
-    D        [Testing Mean with unknown Variance - Critical Value] [Fabrice Skaric - ...] [2011-10-21 11:57:23] [7e9b6bd31a62815918579b1facd0f368] [Current]
-    D          [Testing Mean with unknown Variance - Critical Value] [Fabrice Skaric - ...] [2011-10-21 11:59:24] [60c0c94f647e2c90e494ab0f2a2f1926] 
-    D            [Testing Mean with unknown Variance - Critical Value] [Fabrice Skaric - ...] [2011-10-21 12:05:53] [60c0c94f647e2c90e494ab0f2a2f1926] 
-   PD              [Testing Mean with unknown Variance - Critical Value] [WS 4 - Task 8 b] [2011-10-21 14:07:02] [60c0c94f647e2c90e494ab0f2a2f1926] 
- RM D                [Testing Mean with known Variance - Sample Size] [WS 4 - Task 9] [2011-10-21 15:01:44] [60c0c94f647e2c90e494ab0f2a2f1926] 
- R                     [Testing Mean with known Variance - Sample Size] [WS 4 - Task 10] [2011-10-21 15:05:07] [60c0c94f647e2c90e494ab0f2a2f1926] 
- RM                    [Minimum Sample Size - Testing Mean] [WS 4 - Task 11] [2011-10-21 15:15:51] [60c0c94f647e2c90e494ab0f2a2f1926] 
- RMP             [One Sample Tests about the Mean] [WS 4 - Task 7] [2011-10-21 13:40:04] [60c0c94f647e2c90e494ab0f2a2f1926] 
- RM                [One Sample Tests about the Mean] [task 7] [2011-10-21 14:04:31] [379dab8110dbf77cfcc4b7951c3a599f] 
- R  D              [One Sample Tests about the Mean] [task 7 vrouwen] [2011-10-22 06:11:07] [379dab8110dbf77cfcc4b7951c3a599f] 
-    D                [One Sample Tests about the Mean] [task 7 mannen] [2011-10-22 06:15:58] [379dab8110dbf77cfcc4b7951c3a599f] 
- RMPD            [One Sample Tests about the Mean] [WS 4 - Task 7 b] [2011-10-21 13:51:27] [60c0c94f647e2c90e494ab0f2a2f1926] 
-   P             [Testing Mean with unknown Variance - Critical Value] [WS 4 - Task 8] [2011-10-21 14:05:19] [60c0c94f647e2c90e494ab0f2a2f1926] 
- RM D              [Testing Variance - Critical Value (Region)] [WS 4 - Task 8 a] [2011-10-21 14:17:03] [60c0c94f647e2c90e494ab0f2a2f1926] 
- R                   [Testing Variance - Critical Value (Region)] [WS 4 - Task 8 a] [2011-10-21 14:30:59] [60c0c94f647e2c90e494ab0f2a2f1926] 
-                       [Testing Variance - Critical Value (Region)] [WS 4 - Task 8 a] [2011-10-21 14:36:41] [60c0c94f647e2c90e494ab0f2a2f1926] 
- RM D              [Testing Variance - Critical Value (Region)] [WS 4 - Task 8 b] [2011-10-21 14:21:08] [60c0c94f647e2c90e494ab0f2a2f1926] 
- R                   [Testing Variance - Critical Value (Region)] [WS 4 - Task 8 b] [2011-10-21 14:32:01] [60c0c94f647e2c90e494ab0f2a2f1926] 
-                       [Testing Variance - Critical Value (Region)] [WS 4 - Task 8 b] [2011-10-21 14:37:20] [60c0c94f647e2c90e494ab0f2a2f1926] 
-                 [Testing Mean with unknown Variance - Critical Value] [] [2011-12-18 12:35:56] [60c0c94f647e2c90e494ab0f2a2f1926] 

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Dataseries X:

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Histogram

Boxplots

26
20
19
NA
20
25
NA
22
26
22
NA
NA
19
24
26
NA
13
NA
NA
22
NA
21
7
NA
17
25
25
19
NA
23
NA
22
21
NA
NA
NA
18
NA
NA
22
18
23
20
NA
NA
15
NA
NA
21
NA
18
19
22
16
NA
18
20
24
NA
NA
24
18
21
NA
17
NA
NA
NA
22
16
21
NA
NA
24
24
16
16
NA
NA
NA
NA
18
NA
20
NA
NA
24
17
19
20
15
NA
22
23
16
19
NA
19
NA
NA
21
NA
24
22
NA
18
NA
24
24
22
23
22
20
18
25
NA
16
20
NA
15
19
19
16
17
28
NA
25
20
NA
NA
16
NA
NA
NA
NA
23
21
NA
NA
23
18
20
9
NA
25
20
NA
NA
NA
NA
21
22
27
NA
NA
NA
18
16
22
20
NA
20

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=133515&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=133515&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=133515&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	162
Sample standard deviation	NA
Confidence	0.95
Null hypothesis	20
Sample Mean	NA
2-sided Confidence Interval	[ NA , NA ]
Left-sided Confidence Interval	[ NA , +inf ]
Right-sided Confidence Interval	[ -inf, NA ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 162 \tabularnewline
Sample standard deviation & NA \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & NA \tabularnewline
2-sided Confidence Interval & [ NA , NA ] \tabularnewline
Left-sided Confidence Interval & [ NA , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  NA ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=133515&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]162[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]NA[/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]NA[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ NA , NA ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ NA , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  NA ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=133515&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=133515&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	162
Sample standard deviation	NA
Confidence	0.95
Null hypothesis	20
Sample Mean	NA
2-sided Confidence Interval	[ NA , NA ]
Left-sided Confidence Interval	[ NA , +inf ]
Right-sided Confidence Interval	[ -inf, NA ]

Parameters (Session):

par1 = 0.95 ; par2 = 20 ;

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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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code