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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 computationTue, 07 Dec 2010 09:54:19 +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/2010/Dec/07/t1291715561ys6lqinwlcigaok.htm/, Retrieved Fri, 03 May 2024 23:14:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106096, Retrieved Fri, 03 May 2024 23:14:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact213

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] [] [2010-10-25 13:12:27] [b98453cac15ba1066b407e146608df68]
-   PD    [Testing Mean with unknown Variance - Critical Value] [hypothese vrouwen...] [2010-12-07 09:54:19] [dc77c696707133dea0955379c56a2acd] [Current]
-   P       [Testing Mean with unknown Variance - Critical Value] [hypothese vrouwen...] [2010-12-07 16:36:47] [95e8426e0df851c9330605aa1e892ab5]
-   P       [Testing Mean with unknown Variance - Critical Value] [hypothese vrouwen...] [2010-12-07 16:36:47] [95e8426e0df851c9330605aa1e892ab5]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
57619
57077
56161
55614
57029
57667
57275
57514
58519
58759
58170
58277
61050
63191
64035
63358
62149
61789
60973
61229
60566
61922
62945
64810
66641
67675
66585
66573
66193
65545
64835
67184
69421
72359
74730
75067
74927
74845
75335
78121
79944
82779
81484
79939
80611
79088
79992
77800
76277
75425
74524
72844
70768
70172
67726
68032
67096
68261
67363
67322
57465
57031
54046
47435
43623
48866
53075
53778
51237
50393
49947
50660
50307
52235
51783
51602
47498
45981
43588
42791
41325
38917
36971
33628
31445
28478
19247
12209
10467
10127
10344
10117
8142
6404
4519
3482
2373
1772
1178
746
503
293
161
91
55
20
14
8
2
0
1

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106096&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106096&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106096&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Hypothesis Test about the Mean - Confidence Interval
Sample size111
Sample standard deviation26419.8637579511
Confidence0.95
Null hypothesis0
Sample Mean48356.4054054054
2-sided Confidence Interval[ 43386.8069369670 , 53326.0038738439 ]
Left-sided Confidence Interval[ 44196.6342077228 , +inf ]
Right-sided Confidence Interval[ -inf, 52516.1766030881 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 111 \tabularnewline
Sample standard deviation & 26419.8637579511 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 48356.4054054054 \tabularnewline
2-sided Confidence Interval & [ 43386.8069369670 , 53326.0038738439 ] \tabularnewline
Left-sided Confidence Interval & [ 44196.6342077228 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  52516.1766030881 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106096&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]111[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]26419.8637579511[/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]48356.4054054054[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 43386.8069369670 , 53326.0038738439 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 44196.6342077228 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  52516.1766030881 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106096&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106096&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 size111
Sample standard deviation26419.8637579511
Confidence0.95
Null hypothesis0
Sample Mean48356.4054054054
2-sided Confidence Interval[ 43386.8069369670 , 53326.0038738439 ]
Left-sided Confidence Interval[ 44196.6342077228 , +inf ]
Right-sided Confidence Interval[ -inf, 52516.1766030881 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 500 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ;
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')