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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 computationFri, 08 Jan 2016 18:10:17 +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/2016/Jan/08/t1452276764d2yw4vs6ykov6py.htm/, Retrieved Sat, 27 Apr 2024 16:20:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=287433, Retrieved Sat, 27 Apr 2024 16:20:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Skewness and Kurtosis Test] [] [2015-01-20 07:35:11] [f661ab64c60045a179a329b9ddab9bfe]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [mean] [2016-01-08 18:10:17] [66f7685cd41c835f5668549161ef3bd9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4.2
11.5
7.3
5.8
6.4
10
11.2
11.2
5.2
7
16.5
16.5
15.2
17.3
22.5
17.3
13.6
14.5
18.8
15.5
23.6
18.5
33.9
25.5
26.4
32.5
26.7
21.5
23.3
29.5
15.2
21.5
17.6
9.7
14.5
10
8.2
9.4
16.5
9.7
19.7
23.3
23.6
26.4
20
25.2
25.8
21.2
14.5
27.3
25.5
26.4
22.4
24.5
24.8
30.9
26.4
27.3
29.4
23

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287433&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]0 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=287433&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287433&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 time0 seconds
R Server'George Udny Yule' @ yule.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size60
Sample standard deviation7.64931517188761
Confidence0.97
Null hypothesis50
Sample Mean18.8133333333333
2-sided Confidence Interval[ 16.6172414711777 , 21.009425195489 ]
Left-sided Confidence Interval[ 16.9196094352589 , +inf ]
Right-sided Confidence Interval[ -inf, 20.7070572314077 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 60 \tabularnewline
Sample standard deviation & 7.64931517188761 \tabularnewline
Confidence & 0.97 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 18.8133333333333 \tabularnewline
2-sided Confidence Interval & [ 16.6172414711777 , 21.009425195489 ] \tabularnewline
Left-sided Confidence Interval & [ 16.9196094352589 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.7070572314077 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287433&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]60[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]7.64931517188761[/C][/ROW]
[ROW][C]Confidence[/C][C]0.97[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]18.8133333333333[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 16.6172414711777 , 21.009425195489 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 16.9196094352589 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.7070572314077 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287433&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287433&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 size60
Sample standard deviation7.64931517188761
Confidence0.97
Null hypothesis50
Sample Mean18.8133333333333
2-sided Confidence Interval[ 16.6172414711777 , 21.009425195489 ]
Left-sided Confidence Interval[ 16.9196094352589 , +inf ]
Right-sided Confidence Interval[ -inf, 20.7070572314077 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.97 ; par2 = 50 ;
Parameters (R input):
par1 = 0.97 ; par2 = 50 ;
R code (references can be found in the software module):
par2 <- '50'
par1 <- '0.95'
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')