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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, 17 Dec 2015 20:33:12 +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/17/t14503844082njj0k4vb3ux84n.htm/, Retrieved Thu, 16 May 2024 07:19:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286841, Retrieved Thu, 16 May 2024 07:19:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact54

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [multiple regressi...] [2015-12-02 18:27:35] [22b6f4a061c8797aa483199554a73d13]
- RMPD  [One Sample Tests about the Mean] [p-value mannen] [2015-12-02 18:39:34] [22b6f4a061c8797aa483199554a73d13]
- RMP       [Testing Mean with unknown Variance - Critical Value] [] [2015-12-17 20:33:12] [20fcaaf1d4bc4a12bf87c6c50d624c14] [Current]
-             [Testing Mean with unknown Variance - Critical Value] [] [2015-12-17 20:34:27] [22b6f4a061c8797aa483199554a73d13]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
287224
279998
283495
285775
282329
277799
271980
266730
262433
285378
286692
282917
277686
274371
277466
290604
290770
283654
278601
274405
272817
294292
300562
298982
296917
295008
297295
305671
303853
300708
298194
292254
290646
314707
317009
317706
313312
311048
315917
326174
322116
317092
310468
302438
298493
320124
321873
321676
316696
312612
313307
320883
318749
315126
304600
295245
293619
309700
310597
307416
301126

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=286841&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=286841&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286841&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 size61
Sample standard deviation16418.0310776163
Confidence0.95
Null hypothesis294303.5
Sample Mean298316.967213115
2-sided Confidence Interval[ 294112.114209807 , 302521.820216422 ]
Left-sided Confidence Interval[ 294805.073724178 , +inf ]
Right-sided Confidence Interval[ -inf, 301828.860702052 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 61 \tabularnewline
Sample standard deviation & 16418.0310776163 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 294303.5 \tabularnewline
Sample Mean & 298316.967213115 \tabularnewline
2-sided Confidence Interval & [ 294112.114209807 , 302521.820216422 ] \tabularnewline
Left-sided Confidence Interval & [ 294805.073724178 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  301828.860702052 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286841&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]16418.0310776163[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]294303.5[/C][/ROW]
[ROW][C]Sample Mean[/C][C]298316.967213115[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 294112.114209807 , 302521.820216422 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 294805.073724178 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  301828.860702052 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286841&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286841&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 deviation16418.0310776163
Confidence0.95
Null hypothesis294303.5
Sample Mean298316.967213115
2-sided Confidence Interval[ 294112.114209807 , 302521.820216422 ]
Left-sided Confidence Interval[ 294805.073724178 , +inf ]
Right-sided Confidence Interval[ -inf, 301828.860702052 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = 0.95 ; par2 = 294303.5 ;
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')