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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 computationThu, 11 Dec 2014 17:38:52 +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/2014/Dec/11/t1418319537blkvn914sky5ceu.htm/, Retrieved Thu, 16 May 2024 06:38:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266237, Retrieved Thu, 16 May 2024 06:38:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

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]
- RM D    [Testing Mean with unknown Variance - Critical Value] [] [2014-10-14 18:43:28] [32b17a345b130fdf5cc88718ed94a974]
- R PD        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-11 17:38:52] [9a966322e4d935aee68609d815c1a240] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
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37
67
43
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22
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66
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62
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36
76
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14
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62
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35
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66
55
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60
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40
70
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66
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41
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34
51
69
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39
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51
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61
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72
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56
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68
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64
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68
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37
67
43
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41
56
63
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60
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58
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66
62
58
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25
56
53
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46
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56
76
33
49
53
58
72
51
42
69
51
54
52
59
51
67
64
58
53

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' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266237&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' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266237&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266237&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' @ yule.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size497
Sample standard deviation10.12311761379
Confidence0.95
Null hypothesis100
Sample Mean53.3239436619718
2-sided Confidence Interval[ 52.4317785900794 , 54.2161087338642 ]
Left-sided Confidence Interval[ 52.5756445158279 , +inf ]
Right-sided Confidence Interval[ -inf, 54.0722428081158 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 497 \tabularnewline
Sample standard deviation & 10.12311761379 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 100 \tabularnewline
Sample Mean & 53.3239436619718 \tabularnewline
2-sided Confidence Interval & [ 52.4317785900794 , 54.2161087338642 ] \tabularnewline
Left-sided Confidence Interval & [ 52.5756445158279 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  54.0722428081158 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266237&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]497[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]10.12311761379[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]100[/C][/ROW]
[ROW][C]Sample Mean[/C][C]53.3239436619718[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 52.4317785900794 , 54.2161087338642 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 52.5756445158279 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  54.0722428081158 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266237&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266237&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 size497
Sample standard deviation10.12311761379
Confidence0.95
Null hypothesis100
Sample Mean53.3239436619718
2-sided Confidence Interval[ 52.4317785900794 , 54.2161087338642 ]
Left-sided Confidence Interval[ 52.5756445158279 , +inf ]
Right-sided Confidence Interval[ -inf, 54.0722428081158 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 100 ;
Parameters (R input):
par1 = 0.95 ; par2 = 100 ;
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')