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 computationSun, 11 Dec 2016 14:15:32 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/11/t1481462174v792gx2zylx3roy.htm/, Retrieved Fri, 01 Nov 2024 03:36:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298778, Retrieved Fri, 01 Nov 2024 03:36:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
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] [Gemiddelde leeftijd] [2016-12-11 13:15:32] [5f1120677e74ff8306822a772764e796] [Current]
Feedback Forum

Post a new message
Dataseries X:
22
24
21
21
24
20
22
20
19
23
21
19
19
21
21
22
22
19
21
21
21
20
22
22
24
21
19
19
23
21
21
19
21
19
21
21
23
19
19
19
18
22
18
22
18
22
22
19
22
25
19
19
19
19
21
21
20
19
19
22
26
19
21
21
20
23
22
22
22
21
21
22
23
18
24
22
21
21
21
23
21
23
21
19
21
21
21
23
23
20
20
19
23
22
19
23
22
22
21
21
21
21
22
25
21
23
19
22
20
21
25
21
19
23
22
21
24
21
19
18
19
20
19
22
21
22
24
28
19
18
23
19
23
19
22
21
19
22
21
23
22
19
19
21
22
21
20
23
22
23
22
21
20
18
18
20
19
21
24
19
20
19
23
22
21
24
21
21
22




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298778&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298778&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298778&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center







Hypothesis Test about the Mean - Confidence Interval
Sample size169
Sample standard deviation1.77852313669514
Confidence0.95
Null hypothesis50
Sample Mean21.0591715976331
2-sided Confidence Interval[ 20.789084363897 , 21.3292588313692 ]
Left-sided Confidence Interval[ 20.8328922594133 , +inf ]
Right-sided Confidence Interval[ -inf, 21.285450935853 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 169 \tabularnewline
Sample standard deviation & 1.77852313669514 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 21.0591715976331 \tabularnewline
2-sided Confidence Interval & [ 20.789084363897 , 21.3292588313692 ] \tabularnewline
Left-sided Confidence Interval & [ 20.8328922594133 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.285450935853 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298778&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]169[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.77852313669514[/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]21.0591715976331[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.789084363897 , 21.3292588313692 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.8328922594133 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.285450935853 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298778&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298778&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 size169
Sample standard deviation1.77852313669514
Confidence0.95
Null hypothesis50
Sample Mean21.0591715976331
2-sided Confidence Interval[ 20.789084363897 , 21.3292588313692 ]
Left-sided Confidence Interval[ 20.8328922594133 , +inf ]
Right-sided Confidence Interval[ -inf, 21.285450935853 ]



Parameters (Session):
par1 = 0.95 ; par2 = 50 ;
Parameters (R input):
par1 = 0.95 ; par2 = 50 ;
R code (references can be found in the software module):
par2 <- '25'
par1 <- '0.95'
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')