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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationFri, 22 Oct 2010 09:39:40 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/22/t1287740384pj1kxf2hvvffzmh.htm/, Retrieved Sat, 25 May 2024 05:59:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87357, Retrieved Sat, 25 May 2024 05:59:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact217
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]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Vraag 4: Male ] [2010-10-22 09:14:17] [74deae64b71f9d77c839af86f7c687b5]
-    D        [Testing Mean with unknown Variance - Critical Value] [Vraag 5: FEMALE] [2010-10-22 09:39:40] [e665313c9926a9f4bdf6ad1ee5aefad6] [Current]
- RMPD          [Minimum Sample Size - Testing Mean] [Vraag 11: Minimum...] [2010-10-22 10:54:29] [74deae64b71f9d77c839af86f7c687b5]
- RMPD          [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-22 11:40:37] [8a9a6f7c332640af31ddca253a8ded58]
-                 [Testing Variance - Confidence Intervals for Sample Variance] [ws4.1.6] [2010-10-25 19:09:41] [e4076051fbfb461c886b1e223cd7862f]
- RMPD          [Testing Variance - Confidence Intervals for Sample Variance] [Taak 6: One-sided...] [2010-10-22 11:41:15] [74deae64b71f9d77c839af86f7c687b5]
F R               [Testing Variance - Confidence Intervals for Sample Variance] [ws4 Q6] [2010-10-24 11:03:54] [afe9379cca749d06b3d6872e02cc47ed]
- RMP               [Testing Variance - Confidence Intervals for Sample Variance] [] [2011-10-24 12:58:33] [85a41d310e9fcdbad32d999510017dfa]
- R                 [Testing Variance - Confidence Intervals for Sample Variance] [taak 6 (5)] [2011-10-25 11:12:55] [74be16979710d4c4e7c6647856088456]
-                     [Testing Variance - Confidence Intervals for Sample Variance] [] [2011-10-25 16:11:40] [493236dcc414c5f9e1823f06b33a5ad6]
-  M                    [Testing Variance - Confidence Intervals for Sample Variance] [] [2011-11-08 17:34:58] [22f8bc702946f784836540059d0d9516]
-   P                 [Testing Variance - Confidence Intervals for Sample Variance] [WS4-Q6.2] [2011-10-25 19:01:43] [ab11d59973a0ec4be849e25906c4cdbf]
-  MP                 [Testing Variance - Confidence Intervals for Sample Variance] [] [2011-10-25 21:07:43] [74be16979710d4c4e7c6647856088456]
- R                 [Testing Variance - Confidence Intervals for Sample Variance] [Q6] [2012-10-23 16:55:10] [74be16979710d4c4e7c6647856088456]
-                 [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-25 19:00:23] [504b6ff240ec7a3fcbc007044ae7a0bb]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [Vraag 7] [2010-10-26 19:10:47] [7789b9488494790f41ddb7f073cada1b]
F                 [Testing Variance - Confidence Intervals for Sample Variance] [Ws 4 - Q6] [2010-10-25 21:17:52] [603e2f5305d3a2a4e062624458fa1155]
-   P             [Testing Variance - Confidence Intervals for Sample Variance] [Workshop 4 - Task...] [2011-10-20 14:32:37] [3deae35ae8526e36953f595ad65f3a1f]
-   P             [Testing Variance - Confidence Intervals for Sample Variance] [Workshop 4 - Task...] [2011-10-20 14:34:18] [3deae35ae8526e36953f595ad65f3a1f]
- RMPD            [One Sample Tests about the Mean] [Workshop 4 - Task...] [2011-10-20 14:37:26] [3deae35ae8526e36953f595ad65f3a1f]
- RMPD            [One Sample Tests about the Mean] [Workshop 4 - Task...] [2011-10-20 14:38:49] [3deae35ae8526e36953f595ad65f3a1f]
- R P               [One Sample Tests about the Mean] [C4 vr 7 b] [2011-10-24 13:12:57] [246430c28552f7bc561843533d7ec653]
F               [Testing Mean with unknown Variance - Critical Value] [WS4 Q5] [2010-10-22 13:29:06] [afe9379cca749d06b3d6872e02cc47ed]
F   P             [Testing Mean with unknown Variance - Critical Value] [WS4 Q7] [2010-10-24 11:28:13] [afe9379cca749d06b3d6872e02cc47ed]
-   PD              [Testing Mean with unknown Variance - Critical Value] [vraag 7: kleinste...] [2010-10-26 09:16:04] [74deae64b71f9d77c839af86f7c687b5]
- RMP                 [Variability] [] [2011-11-27 16:10:46] [3931071255a6f7f4a767409781cc5f7d]
-   P               [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:31:54] [b64b273f7a25c5bb07ff2f026b8ce952]
- RMP               [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 13:02:20] [85a41d310e9fcdbad32d999510017dfa]
- R P               [Testing Mean with unknown Variance - Critical Value] [taak 7 (5)] [2011-10-25 11:19:40] [380049693c521f4999989215fb37aeca]
- R PD              [Testing Mean with unknown Variance - Critical Value] [taak 7 (4)] [2011-10-25 11:29:18] [380049693c521f4999989215fb37aeca]
-   P                 [Testing Mean with unknown Variance - Critical Value] [W4-Q7.1] [2011-10-25 19:11:48] [ab11d59973a0ec4be849e25906c4cdbf]
-   P                 [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 21:04:59] [74be16979710d4c4e7c6647856088456]
-   P                 [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 22:36:15] [493236dcc414c5f9e1823f06b33a5ad6]
-  MP                   [Testing Mean with unknown Variance - Critical Value] [] [2011-11-08 17:42:55] [22f8bc702946f784836540059d0d9516]
- R P               [Testing Mean with unknown Variance - Critical Value] [taak 7 (5)] [2011-10-25 11:32:43] [380049693c521f4999989215fb37aeca]
-  MP                 [Testing Mean with unknown Variance - Critical Value] [WS4-Q7.2] [2011-10-25 19:17:40] [ab11d59973a0ec4be849e25906c4cdbf]
-   P                 [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 21:05:49] [74be16979710d4c4e7c6647856088456]
-   P                 [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 22:37:48] [493236dcc414c5f9e1823f06b33a5ad6]
-  MP                   [Testing Mean with unknown Variance - Critical Value] [] [2011-11-08 17:49:14] [22f8bc702946f784836540059d0d9516]
- R P               [Testing Mean with unknown Variance - Critical Value] [Q7] [2012-10-23 16:56:59] [74be16979710d4c4e7c6647856088456]
-                 [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:21:10] [b64b273f7a25c5bb07ff2f026b8ce952]
-                   [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:30:10] [b64b273f7a25c5bb07ff2f026b8ce952]
- R  D            [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:53:41] [85a41d310e9fcdbad32d999510017dfa]
- R               [Testing Mean with unknown Variance - Critical Value] [Taak 5] [2011-10-25 11:04:48] [74be16979710d4c4e7c6647856088456]
-                   [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:06:30] [493236dcc414c5f9e1823f06b33a5ad6]
-  M                  [Testing Mean with unknown Variance - Critical Value] [] [2011-11-08 17:32:08] [22f8bc702946f784836540059d0d9516]
-   P               [Testing Mean with unknown Variance - Critical Value] [WS4-Q5] [2011-10-25 18:52:37] [ab11d59973a0ec4be849e25906c4cdbf]
- R  D            [Testing Mean with unknown Variance - Critical Value] [Taak 6 (4)] [2011-10-25 11:17:55] [380049693c521f4999989215fb37aeca]
-                   [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:10:14] [493236dcc414c5f9e1823f06b33a5ad6]
-  M                  [Testing Mean with unknown Variance - Critical Value] [] [2011-11-08 17:46:34] [22f8bc702946f784836540059d0d9516]

[Truncated]
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Dataseries X:
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17
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21

26
20

14


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15
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20
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26

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15
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Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=87357&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=87357&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87357&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Hypothesis Test about the Mean - Confidence Interval
Sample size63
Sample standard deviation3.71225672258781
Confidence0.95
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.223810410058 , 22.0936499074023 ]
Left-sided Confidence Interval[ 20.3777621085879 , +inf ]
Right-sided Confidence Interval[ -inf, 21.9396982088724 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.223810410058 , 22.0936499074023 ] \tabularnewline
Left-sided Confidence Interval & [ 20.3777621085879 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.9396982088724 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87357&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]3.71225672258781[/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]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.223810410058 , 22.0936499074023 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.3777621085879 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.9396982088724 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87357&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87357&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 size63
Sample standard deviation3.71225672258781
Confidence0.95
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.223810410058 , 22.0936499074023 ]
Left-sided Confidence Interval[ 20.3777621085879 , +inf ]
Right-sided Confidence Interval[ -inf, 21.9396982088724 ]



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')