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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, 24 Oct 2011 12:38:49 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Oct/24/t1319474339e07kvmmqej8vc68.htm/, Retrieved Mon, 13 May 2024 21:24:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=134665, Retrieved Mon, 13 May 2024 21:24:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

Tree of Dependent Computations

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] [] [2011-10-24 16:38:49] [065e524ef27b3ebe8baf73e00eb8c266] [Current]
- R  D    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 16:41:42] [227e53f633d125e3e89f625705633e7f]
-           [Testing Mean with unknown Variance - Critical Value] [] [2012-10-23 10:13:53] [74be16979710d4c4e7c6647856088456]
-           [Testing Mean with unknown Variance - Critical Value] [] [2012-10-23 10:15:34] [74be16979710d4c4e7c6647856088456]
- RMPD    [One Sample Tests about the Mean] [] [2011-10-24 17:13:46] [227e53f633d125e3e89f625705633e7f]
- R  D      [One Sample Tests about the Mean] [] [2011-10-24 17:18:56] [227e53f633d125e3e89f625705633e7f]
- R           [One Sample Tests about the Mean] [workshop 4] [2011-10-25 16:53:20] [a9dc51245fb8ca00f931d89893d090c8]
- RM            [One Sample Tests about the Mean] [WS4: vraag 7 (man...] [2011-10-25 19:39:37] [8ce6c7315af51b5eb6923c5fe455d382]
-   P         [One Sample Tests about the Mean] [] [2012-10-23 10:16:40] [74be16979710d4c4e7c6647856088456]
- RM D      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 17:41:49] [227e53f633d125e3e89f625705633e7f]
- R  D        [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 17:47:32] [227e53f633d125e3e89f625705633e7f]
- RM D        [Testing Variance - Confidence Intervals for Sample Variance] [] [2011-10-24 17:51:05] [227e53f633d125e3e89f625705633e7f]
- R             [Testing Variance - Confidence Intervals for Sample Variance] [] [2011-10-24 17:52:07] [227e53f633d125e3e89f625705633e7f]
-   P             [Testing Variance - Confidence Intervals for Sample Variance] [] [2012-10-23 10:19:10] [74be16979710d4c4e7c6647856088456]
- RM            [Testing Mean with known Variance - Sample Size] [] [2011-10-24 17:57:40] [227e53f633d125e3e89f625705633e7f]
- R               [Testing Mean with known Variance - Sample Size] [] [2011-10-24 17:59:53] [227e53f633d125e3e89f625705633e7f]
- R P               [Testing Mean with known Variance - Sample Size] [workshop 4 task 10] [2011-10-25 12:48:15] [a9dc51245fb8ca00f931d89893d090c8]
- RM                  [Testing Mean with known Variance - Sample Size] [WS4: vraag 10] [2011-10-25 19:42:13] [8ce6c7315af51b5eb6923c5fe455d382]
- RMP               [Minimum Sample Size - Testing Mean] [workshop 4 task 11] [2011-10-25 12:56:49] [a9dc51245fb8ca00f931d89893d090c8]
- RM                  [Minimum Sample Size - Testing Mean] [WS4: vraag 11] [2011-10-25 19:42:40] [8ce6c7315af51b5eb6923c5fe455d382]
-   P               [Testing Mean with known Variance - Sample Size] [] [2012-10-23 10:21:10] [74be16979710d4c4e7c6647856088456]
-   P             [Testing Mean with known Variance - Sample Size] [workshop 4 task 9] [2011-10-25 12:34:57] [a9dc51245fb8ca00f931d89893d090c8]
- RM                [Testing Mean with known Variance - Sample Size] [WS4: vraag 9] [2011-10-25 19:41:46] [8ce6c7315af51b5eb6923c5fe455d382]
- R P             [Testing Mean with known Variance - Sample Size] [] [2012-10-23 10:20:11] [74be16979710d4c4e7c6647856088456]
- R P           [Testing Variance - Confidence Intervals for Sample Variance] [] [2012-10-23 10:18:27] [74be16979710d4c4e7c6647856088456]
- RMPD            [Paired and Unpaired Two Samples Tests about the Mean] [WS5-Q1] [2012-10-25 14:20:21] [f4f48270c576c45d216b84daa061a85b]
- R  D              [Paired and Unpaired Two Samples Tests about the Mean] [WS5-Q2] [2012-10-25 14:54:33] [f4f48270c576c45d216b84daa061a85b]
- RMPD              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5-Q6] [2012-10-25 18:02:08] [f4f48270c576c45d216b84daa061a85b]
- RMPD              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5-Q6-2] [2012-10-25 18:45:41] [f4f48270c576c45d216b84daa061a85b]
- RMPD              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5-Q7-1] [2012-10-25 19:18:23] [f4f48270c576c45d216b84daa061a85b]
- R                   [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5-Q7-2] [2012-10-25 19:39:06] [f4f48270c576c45d216b84daa061a85b]
- R P       [One Sample Tests about the Mean] [] [2012-10-23 10:17:27] [74be16979710d4c4e7c6647856088456]
- R       [Testing Mean with unknown Variance - Critical Value] [] [2012-10-23 10:12:44] [74be16979710d4c4e7c6647856088456]
- R       [Testing Mean with unknown Variance - Critical Value] [] [2012-10-23 10:14:50] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
20
19
20
25
22
26
22
19
24
26
13
22
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7
17
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25
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15
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18
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16
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24
24
18
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24
24
16
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24
17
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24
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28
25
20
16
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18
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9
25
20
21
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27
18
16
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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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=134665&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=134665&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134665&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'Gertrude Mary Cox' @ cox.wessa.net






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 , 21.00944095267 ]
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 , 21.00944095267 ] \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=134665&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 , 21.00944095267 ][/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=134665&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134665&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 , 21.00944095267 ]
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')