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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 computationWed, 09 Dec 2015 09:54:11 +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/2015/Dec/09/t14496548887rzlsjck3x175y5.htm/, Retrieved Thu, 16 May 2024 19:18:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285593, Retrieved Thu, 16 May 2024 19:18:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100

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] [Critical value GE...] [2015-12-09 09:54:11] [67c0a766d5f85478bd5bb7419007c920] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
171
190
200
90
270
85
63
160
33
63
205
245
39
312
90
180
45
81
236
124
116
45
120
34
72
96
17
219
102
268
39
41
201
109
36
63
98
37
23
91
119
10
200
25
249
145
29
140
122
31
138
53
107
65
32
149
19
193
20
15

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285593&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285593&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285593&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'Gwilym Jenkins' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size60
Sample standard deviation78.057236713772
Confidence0.95
Null hypothesis0
Sample Mean109.5
2-sided Confidence Interval[ 89.3356775735236 , 129.664322426476 ]
Left-sided Confidence Interval[ 92.6601516560352 , +inf ]
Right-sided Confidence Interval[ -inf, 126.339848343965 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 60 \tabularnewline
Sample standard deviation & 78.057236713772 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 109.5 \tabularnewline
2-sided Confidence Interval & [ 89.3356775735236 , 129.664322426476 ] \tabularnewline
Left-sided Confidence Interval & [ 92.6601516560352 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  126.339848343965 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285593&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]78.057236713772[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]109.5[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 89.3356775735236 , 129.664322426476 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 92.6601516560352 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  126.339848343965 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285593&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285593&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 deviation78.057236713772
Confidence0.95
Null hypothesis0
Sample Mean109.5
2-sided Confidence Interval[ 89.3356775735236 , 129.664322426476 ]
Left-sided Confidence Interval[ 92.6601516560352 , +inf ]
Right-sided Confidence Interval[ -inf, 126.339848343965 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ;
R code (references can be found in the software module):
par2 <- '0.05'
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')