Free Statistics

of Irreproducible Research!

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, 18 Dec 2014 17:56:37 +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/2014/Dec/18/t1418925403xru7h19t2vksy1d.htm/, Retrieved Thu, 31 Oct 2024 23:52:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271181, Retrieved Thu, 31 Oct 2024 23:52:02 +0000
QR Codes:

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)
-     [Testing Mean with unknown Variance - Critical Value] [] [2010-10-25 13:22:46] [b98453cac15ba1066b407e146608df68]
- RMP   [Testing Mean with unknown Variance - Critical Value] [] [2014-10-07 07:51:34] [32b17a345b130fdf5cc88718ed94a974]
- R PD    [Testing Mean with unknown Variance - Critical Value] [] [2014-12-12 19:03:06] [67894a4ff6098ffac356bc81e6028257]
- R P         [Testing Mean with unknown Variance - Critical Value] [] [2014-12-18 17:56:37] [9a966322e4d935aee68609d815c1a240] [Current]
Feedback Forum

Post a new message
Dataseries X:
50
68
54
73
73
75
72
70
81
71
76
70
60
70
76
67
70
75
60
59
78
67
66
66
72
59
78
65
71
66
69
57
63
65
47
68
71
59
68
48
59
60
59
79
59
71
57
66
63
58
48
73
61
68
62
62
69
58
58
72
62
65
69
66
66
55
72
62
64
64
68
70
69
73
74
78
75
50
65
78
78
70
63
63
67
66
62
73
69
84
58
57
68
69
60
66
81
72
74
65
51
80
74
70
69
55
71




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271181&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271181&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271181&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 time0 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Hypothesis Test about the Mean - Confidence Interval
Sample size107
Sample standard deviation7.79619383644292
Confidence0.95
Null hypothesis50
Sample Mean66.4953271028037
2-sided Confidence Interval[ 65.0010703003015 , 67.989583905306 ]
Left-sided Confidence Interval[ 65.2446928518058 , +inf ]
Right-sided Confidence Interval[ -inf, 67.7459613538017 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 107 \tabularnewline
Sample standard deviation & 7.79619383644292 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 66.4953271028037 \tabularnewline
2-sided Confidence Interval & [ 65.0010703003015 , 67.989583905306 ] \tabularnewline
Left-sided Confidence Interval & [ 65.2446928518058 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  67.7459613538017 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271181&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]107[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]7.79619383644292[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]66.4953271028037[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 65.0010703003015 , 67.989583905306 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 65.2446928518058 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  67.7459613538017 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271181&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271181&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 size107
Sample standard deviation7.79619383644292
Confidence0.95
Null hypothesis50
Sample Mean66.4953271028037
2-sided Confidence Interval[ 65.0010703003015 , 67.989583905306 ]
Left-sided Confidence Interval[ 65.2446928518058 , +inf ]
Right-sided Confidence Interval[ -inf, 67.7459613538017 ]



Parameters (Session):
Parameters (R input):
par1 = 0.95 ; par2 = 50 ;
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')