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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationMon, 07 Dec 2015 13:11:39 +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/07/t1449493920tjclsfl4uyxrfnz.htm/, Retrieved Thu, 16 May 2024 17:04:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285369, Retrieved Thu, 16 May 2024 17:04:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Notched Boxplots] [] [2015-10-10 14:23:59] [32b17a345b130fdf5cc88718ed94a974]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [p-value vrouwen] [2015-12-07 13:11:39] [20fcaaf1d4bc4a12bf87c6c50d624c14] [Current]
- RM        [One Sample Tests about the Mean] [p-value vrouwen] [2015-12-07 13:12:45] [22b6f4a061c8797aa483199554a73d13]
-             [One Sample Tests about the Mean] [p-value vrouwen 1...] [2015-12-07 13:16:58] [22b6f4a061c8797aa483199554a73d13]
- R             [One Sample Tests about the Mean] [p-value vrouwen 1...] [2015-12-07 13:20:08] [22b6f4a061c8797aa483199554a73d13]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
276444
268606
267679
269879
265641
262525
258597
253849
256221
286895
294610
280363
269926
264341
263269
271045
267915
262078
257751
253271
257638
287452
298152
284793
274560
268270
267577
271866
268546
264722
262425
258973
262751
296186
304659
295442
285466
279575
279985
286012
281337
276270
271472
265637
268974
299299
305452
295468
285584
278204
276505
279732
276980
271832
263105
256162
260705
285857
291870
280358
270981

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' @ 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285369&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285369&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285369&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' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size61
Sample standard deviation13301.0763884042
Confidence0.95
Null hypothesis271472
Sample Mean274553.098360656
2-sided Confidence Interval[ 271146.53452029 , 277959.662201021 ]
Left-sided Confidence Interval[ 271707.936030078 , +inf ]
Right-sided Confidence Interval[ -inf, 277398.260691234 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 61 \tabularnewline
Sample standard deviation & 13301.0763884042 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 271472 \tabularnewline
Sample Mean & 274553.098360656 \tabularnewline
2-sided Confidence Interval & [ 271146.53452029 , 277959.662201021 ] \tabularnewline
Left-sided Confidence Interval & [ 271707.936030078 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  277398.260691234 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285369&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]61[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]13301.0763884042[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]271472[/C][/ROW]
[ROW][C]Sample Mean[/C][C]274553.098360656[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 271146.53452029 , 277959.662201021 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 271707.936030078 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  277398.260691234 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285369&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285369&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 size61
Sample standard deviation13301.0763884042
Confidence0.95
Null hypothesis271472
Sample Mean274553.098360656
2-sided Confidence Interval[ 271146.53452029 , 277959.662201021 ]
Left-sided Confidence Interval[ 271707.936030078 , +inf ]
Right-sided Confidence Interval[ -inf, 277398.260691234 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = two.sided ; par2 = 0.95 ; par3 = 271470 ;
Parameters (R input):
par1 = 0.95 ; par2 = 271472 ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')