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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 computationSun, 24 Oct 2010 16:52:23 +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/24/t1287939079uevuqh0gnpr1gt1.htm/, Retrieved Fri, 03 May 2024 18:52:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87918, Retrieved Fri, 03 May 2024 18:52:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Maximum-likelihood Fitting - Normal Distribution] [Intrinsic Motivat...] [2010-10-12 11:57:21] [b98453cac15ba1066b407e146608df68]
-   PD  [Maximum-likelihood Fitting - Normal Distribution] [WS3 - Intr2 fitdi...] [2010-10-17 20:45:33] [b11c112f8986de933f8b95cd30e75cc2]
F RMPD    [Testing Mean with unknown Variance - Critical Value] [WS4 - Question 2] [2010-10-24 13:36:22] [b11c112f8986de933f8b95cd30e75cc2]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-24 15:15:58] [ed939ef6f97e5f2afb6796311d9e7a5f]
- RMPD        [Central Tendency] [] [2010-10-24 15:29:07] [74be16979710d4c4e7c6647856088456]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [] [2010-10-24 16:52:23] [f9aa24c2294a5d3925c7278aa2e9a372] [Current]
-    D              [Testing Mean with unknown Variance - Critical Value] [] [2010-10-24 16:55:34] [ed939ef6f97e5f2afb6796311d9e7a5f]
-                     [Testing Mean with unknown Variance - Critical Value] [W4] [2010-10-26 08:44:53] [5ddc7dfb25e070b079c4c8fcccc4d42e]
-   P               [Testing Mean with unknown Variance - Critical Value] [] [2010-10-24 17:03:37] [ed939ef6f97e5f2afb6796311d9e7a5f]
-   P                 [Testing Mean with unknown Variance - Critical Value] [W4] [2010-10-26 08:53:21] [5ddc7dfb25e070b079c4c8fcccc4d42e]
- RMPD              [Testing Variance - p-value (probability)] [] [2010-10-24 17:09:53] [ed939ef6f97e5f2afb6796311d9e7a5f]
-                     [Testing Variance - p-value (probability)] [] [2010-10-24 17:11:42] [ed939ef6f97e5f2afb6796311d9e7a5f]
-   P                   [Testing Variance - p-value (probability)] [W4] [2010-10-26 09:02:00] [5ddc7dfb25e070b079c4c8fcccc4d42e]
-   P                     [Testing Variance - p-value (probability)] [WS4 Vraag 8] [2010-10-26 13:06:42] [9b13650c94c5192ca5135ec8a1fa39f7]
- RM                  [Testing Mean with known Variance - Sample Size] [] [2010-10-24 17:17:10] [ed939ef6f97e5f2afb6796311d9e7a5f]
-   P                   [Testing Mean with known Variance - Sample Size] [W4] [2010-10-26 09:03:52] [5ddc7dfb25e070b079c4c8fcccc4d42e]
-   P                     [Testing Mean with known Variance - Sample Size] [WS4 Vraag 9] [2010-10-26 13:11:19] [9b13650c94c5192ca5135ec8a1fa39f7]
-                           [Testing Mean with known Variance - Sample Size] [WS4 Vraag 10] [2010-10-26 13:12:25] [9b13650c94c5192ca5135ec8a1fa39f7]
- RM                  [Testing Mean with known Variance - Sample Size] [] [2010-10-24 17:18:50] [ed939ef6f97e5f2afb6796311d9e7a5f]
- RM                  [Minimum Sample Size - Testing Mean] [] [2010-10-24 17:22:15] [ed939ef6f97e5f2afb6796311d9e7a5f]
-   P                   [Minimum Sample Size - Testing Mean] [W4] [2010-10-26 09:13:54] [5ddc7dfb25e070b079c4c8fcccc4d42e]
-   P                     [Minimum Sample Size - Testing Mean] [WS4 Vraag 11] [2010-10-26 13:20:52] [9b13650c94c5192ca5135ec8a1fa39f7]
F   P                     [Minimum Sample Size - Testing Mean] [ws4q11] [2010-10-26 15:00:45] [ca5ab8c53423c489dac59e1a1d654047]
-   P                   [Minimum Sample Size - Testing Mean] [vraag 11 ws 4] [2010-10-26 20:58:24] [608064602fec1c42028cf50c6f981c88]
-   P                 [Testing Variance - p-value (probability)] [W4] [2010-10-26 08:59:16] [5ddc7dfb25e070b079c4c8fcccc4d42e]
-   P                   [Testing Variance - p-value (probability)] [WS4 Vraag 8] [2010-10-26 13:09:07] [9b13650c94c5192ca5135ec8a1fa39f7]
-                   [Testing Mean with unknown Variance - Critical Value] [W4] [2010-10-26 08:41:27] [5ddc7dfb25e070b079c4c8fcccc4d42e]
-                   [Testing Mean with unknown Variance - Critical Value] [W4] [2010-10-26 08:48:20] [5ddc7dfb25e070b079c4c8fcccc4d42e]
-   P               [Testing Mean with unknown Variance - Critical Value] [two-sided null hy...] [2010-10-26 20:10:30] [608064602fec1c42028cf50c6f981c88]
-    D                [Testing Mean with unknown Variance - Critical Value] [two-sided hypothe...] [2010-10-26 20:17:19] [608064602fec1c42028cf50c6f981c88]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
20
19
20
25
22
26
22
19
24
26
13
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21
7
17
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25
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16
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24
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24
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24
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15
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18
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24
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17
28
25
20
16
23
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23
18
20
9
25
20
21
22
27
18
16
22
20
20

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87918&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87918&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87918&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'Gwilym Jenkins' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.0094409526700 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 3.60983764663337 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 20.2857142857143 \tabularnewline
2-sided Confidence Interval & [ 19.5619876187585 , 21.0094409526700 ] \tabularnewline
Left-sided Confidence Interval & [ 19.6801369145128 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.8912916569158 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87918&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.60983764663337[/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]20.2857142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.5619876187585 , 21.0094409526700 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.6801369145128 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.8912916569158 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87918&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87918&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 size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.0094409526700 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]


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')