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Description of Statistical Computation

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 computationMon, 25 Oct 2010 19:47:30 +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/25/t1288035991hqgv0bh0dk2bid2.htm/, Retrieved Sat, 27 Apr 2024 22:43:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88431, Retrieved Sat, 27 Apr 2024 22:43:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact226

Tree of Dependent Computations

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] [WS4 - Question 5] [2010-10-25 19:47:30] [ee4a783fb13f41eb2e9bc8a0c4f26279] [Current]
-   P         [Testing Mean with unknown Variance - Critical Value] [WS4 - Question 7 ...] [2010-10-25 19:59:09] [1f5baf2b24e732d76900bb8178fc04e7]
- RMP           [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 23:50:58] [19d77e37efa419fdc040c74a96874aff]
-   P         [Testing Mean with unknown Variance - Critical Value] [WS4 - Question 7 ...] [2010-10-25 20:00:11] [1f5baf2b24e732d76900bb8178fc04e7]
- R P           [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 23:51:36] [19d77e37efa419fdc040c74a96874aff]
- RMPD        [Testing Mean with known Variance - Critical Value] [WS4 - Question 8 ...] [2010-10-25 20:17:41] [1f5baf2b24e732d76900bb8178fc04e7]
F R P           [Testing Mean with known Variance - Critical Value] [WS4 Q8] [2010-10-26 18:21:42] [afe9379cca749d06b3d6872e02cc47ed]
-                 [Testing Mean with known Variance - Critical Value] [Workshop 1] [2010-11-11 15:50:52] [eb6e95800005ec22b7fd76eead8d8a59]
- R               [Testing Mean with known Variance - Critical Value] [WS IV question 8 ...] [2011-10-23 14:00:18] [7c680a04865e75aa8ab422cdbfd97ac3]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-24 13:03:58] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-24 20:55:09] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 09:56:08] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 09:56:48] [0748461f029d231b348d2f525a63e360]
- RMPD              [One Sample Tests about the Mean] [] [2011-10-25 10:03:30] [0748461f029d231b348d2f525a63e360]
- RMP             [Testing Mean with known Variance - p-value] [] [2011-10-24 20:59:41] [0748461f029d231b348d2f525a63e360]
- R P             [Testing Mean with known Variance - Critical Value] [taak 8 mannen] [2011-10-25 11:36:52] [380049693c521f4999989215fb37aeca]
-   P               [Testing Mean with known Variance - Critical Value] [WS4-Q8.1] [2011-10-25 19:20:12] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 21:00:13] [74be16979710d4c4e7c6647856088456]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 22:51:15] [493236dcc414c5f9e1823f06b33a5ad6]
-  MP                 [Testing Mean with known Variance - Critical Value] [] [2011-11-08 17:37:08] [22f8bc702946f784836540059d0d9516]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-25 17:27:22] [a1957df0bc37aec4aa3c994e6a08412c]
- R                 [Testing Mean with known Variance - Critical Value] [] [2011-10-25 17:33:28] [a1957df0bc37aec4aa3c994e6a08412c]
- RMPD            [Variability] [Ws] [2012-10-23 08:24:41] [8c30f4dd45e15fd207e4faf2fdf6253e]
- RMPD            [Variability] [WS 4 Q 8.2] [2012-10-23 08:26:30] [8c30f4dd45e15fd207e4faf2fdf6253e]
- R P             [Testing Mean with known Variance - Critical Value] [Q8.1] [2012-10-23 16:59:16] [74be16979710d4c4e7c6647856088456]
- R               [Testing Mean with known Variance - Critical Value] [] [2012-10-23 17:56:54] [74be16979710d4c4e7c6647856088456]
- R P           [Testing Mean with known Variance - Critical Value] [] [2011-10-25 23:47:14] [19d77e37efa419fdc040c74a96874aff]
- RMPD        [Testing Mean with known Variance - Critical Value] [WS4 - Question 8 ...] [2010-10-25 20:19:30] [1f5baf2b24e732d76900bb8178fc04e7]
F R P           [Testing Mean with known Variance - Critical Value] [ws4 Q8 (females)] [2010-10-26 18:22:26] [afe9379cca749d06b3d6872e02cc47ed]
- R P             [Testing Mean with known Variance - Critical Value] [Workshop 1 part 1] [2010-11-11 13:23:52] [b9eaf9df71639055b3e2389f5099ca2c]
- R P             [Testing Mean with known Variance - Critical Value] [Workshop1 - part 1] [2010-11-11 13:35:18] [b9eaf9df71639055b3e2389f5099ca2c]
- RMP             [Testing Mean with known Variance - Sample Size] [Workshop 1 part 1] [2010-11-11 13:42:52] [b9eaf9df71639055b3e2389f5099ca2c]
- RMP             [Testing Mean with known Variance - Sample Size] [Workshop 1 part 1 ] [2010-11-11 14:21:46] [b9eaf9df71639055b3e2389f5099ca2c]
-                 [Testing Mean with known Variance - Critical Value] [Workshop 1] [2010-11-11 15:58:54] [eb6e95800005ec22b7fd76eead8d8a59]
- R P             [Testing Mean with known Variance - Critical Value] [] [2011-10-24 13:04:27] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Testing Mean with known Variance - Critical Value] [taak 8 vrouwen] [2011-10-25 11:38:13] [380049693c521f4999989215fb37aeca]
-   P               [Testing Mean with known Variance - Critical Value] [WS4-Q8.2] [2011-10-25 19:23:47] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 21:01:37] [74be16979710d4c4e7c6647856088456]
-   P               [Testing Mean with known Variance - Critical Value] [] [2011-10-25 22:52:14] [493236dcc414c5f9e1823f06b33a5ad6]
- R P             [Testing Mean with known Variance - Critical Value] [Q8.2] [2012-10-23 17:00:54] [74be16979710d4c4e7c6647856088456]
- R               [Testing Mean with known Variance - Critical Value] [] [2012-10-23 17:58:27] [74be16979710d4c4e7c6647856088456]
- RMP             [Testing Mean with known Variance - p-value] [Question 8] [2013-10-28 16:10:06] [fcc5c79267206050edde2804b94bb45f]
- R                 [Testing Mean with known Variance - p-value] [] [2013-10-28 16:18:59] [fcc5c79267206050edde2804b94bb45f]
- RM                  [Testing Mean with known Variance - Sample Size] [] [2013-10-28 16:21:00] [fcc5c79267206050edde2804b94bb45f]
- RM                  [Testing Mean with known Variance - Sample Size] [] [2013-10-28 16:22:56] [fcc5c79267206050edde2804b94bb45f]
- RMP                   [Testing Mean with known Variance - Sample Size] [] [2013-10-30 18:54:02] [28b01683adeed0ece37c11d0e0637e9d]
- RMPD              [Testing Mean with unknown Variance - Critical Value] [] [2013-10-29 14:05:06] [fcc5c79267206050edde2804b94bb45f]
-                     [Testing Mean with unknown Variance - Critical Value] [] [2013-10-30 18:19:15] [fcc5c79267206050edde2804b94bb45f]
- R                     [Testing Mean with unknown Variance - Critical Value] [] [2013-10-30 18:31:19] [fcc5c79267206050edde2804b94bb45f]

[Truncated]
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Dataset

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Histogram
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88431&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88431&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88431&T=0

As an alternative you can also use a QR Code:  
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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






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=88431&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=88431&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88431&T=1

As an alternative you can also use a QR Code:  
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 ]


Figures (Output of Computation)

Input Parameters & R Code

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')