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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, 25 Nov 2010 16:51:31 +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/Nov/25/t1290703793cj6lbpfcoxp98az.htm/, Retrieved Thu, 28 Mar 2024 08:15:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101222, Retrieved Thu, 28 Mar 2024 08:15:08 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-06 21:28:17] [74be16979710d4c4e7c6647856088456]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [] [2010-11-16 19:17:27] [1908ef7bb1a3d37a854f5aaad1a1c348]
-         [Testing Mean with unknown Variance - Critical Value] [WS6] [2010-11-16 22:06:22] [c2a9e95daa10045f9fd6252038bcb219]
- R  D        [Testing Mean with unknown Variance - Critical Value] [WS6 Hypothese 1] [2010-11-25 16:51:31] [b5e30b7400ffb7c52b5936a3d8d7c96c] [Current]
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Dataseries X:
87.48
82.39
83.48
79.31
78.16
72.77
72.45
68.46
67.62
68.76
70.07
68.55
65.3
58.96
59.17
62.37
66.28
55.62
55.23
55.85
56.75
50.89
53.88
52.95
55.08
53.61
58.78
61.85
55.91
53.32
46.41
44.57
50
50
53.36
46.23
50.45
49.07
45.85
48.45
49.96
46.53
50.51
47.58
48.05
46.84
47.67
49.16
55.54
55.82
58.22
56.19
57.77
63.19
54.76
55.74
62.54
61.39
69.6
79.23
80
93.68
107.63
100.18
97.3
90.45
80.64
80.58
75.82
85.59
89.35
89.42
104.73
95.32
89.27
90.44
86.97
79.98
81.22
87.35
83.64
82.22
94.4
102.18




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101222&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101222&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101222&T=0

As an alternative you can also use a 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'RServer@AstonUniversity' @ vre.aston.ac.uk







Hypothesis Test about the Mean - Confidence Interval
Sample size84
Sample standard deviation17.1675611712652
Confidence0.95
Null hypothesis67.62
Sample Mean67.6230952380952
2-sided Confidence Interval[ 63.8975060753316 , 71.3486844008589 ]
Left-sided Confidence Interval[ 64.5072855376826 , +inf ]
Right-sided Confidence Interval[ -inf, 70.7389049385078 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 84 \tabularnewline
Sample standard deviation & 17.1675611712652 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 67.62 \tabularnewline
Sample Mean & 67.6230952380952 \tabularnewline
2-sided Confidence Interval & [ 63.8975060753316 , 71.3486844008589 ] \tabularnewline
Left-sided Confidence Interval & [ 64.5072855376826 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  70.7389049385078 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101222&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]84[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]17.1675611712652[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]67.62[/C][/ROW]
[ROW][C]Sample Mean[/C][C]67.6230952380952[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 63.8975060753316 , 71.3486844008589 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 64.5072855376826 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  70.7389049385078 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101222&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101222&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size84
Sample standard deviation17.1675611712652
Confidence0.95
Null hypothesis67.62
Sample Mean67.6230952380952
2-sided Confidence Interval[ 63.8975060753316 , 71.3486844008589 ]
Left-sided Confidence Interval[ 64.5072855376826 , +inf ]
Right-sided Confidence Interval[ -inf, 70.7389049385078 ]



Parameters (Session):
par1 = 0.95 ; par2 = 67.62 ;
Parameters (R input):
par1 = 0.95 ; par2 = 67.62 ;
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')