FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationMon, 24 Oct 2011 08:23:03 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Oct/24/t1319459018vgqsqsyb1k60cx4.htm/, Retrieved Thu, 09 Oct 2025 05:01:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=134444, Retrieved Thu, 09 Oct 2025 05:01:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact281

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] [] [2010-10-22 09:38:46] [8a9a6f7c332640af31ddca253a8ded58]
-       [Testing Mean with unknown Variance - Critical Value] [WS4: Vraag 2 A] [2010-10-25 18:49:21] [1fd136673b2a4fecb5c545b9b4a05d64]
-    D      [Testing Mean with unknown Variance - Critical Value] [WS4Q2.1] [2011-10-24 12:23:03] [62a0baf79fc3247cb8751eb16ecd6056] [Current]
- R           [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:24:03] [85a41d310e9fcdbad32d999510017dfa]
-               [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:24:35] [85a41d310e9fcdbad32d999510017dfa]
- R PD          [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:37:45] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:42:32] [85a41d310e9fcdbad32d999510017dfa]
-   P               [Testing Mean with unknown Variance - Critical Value] [] [2011-10-24 12:43:27] [85a41d310e9fcdbad32d999510017dfa]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4
0
5
0
0
0
0
1
5
1
4
1
3
1
0
0
1
0
1
2
2
1
2
-1
3
-1
0
0
1
0
-1
4
0
1
0
0
4
2
1
4
0
4
0
0
0
5
1
0
4
4
1
1
1
4
1
3
1
5
4
0
1
4
0
-1
2
1
1
0
4
4
3
1
1
5
0
-1
1
2
-1
2
0
4
4
-1
0
4
-1
4
2
2
0
0
4
1
0
0
4
4
0
0
2
1
0
2
2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=134444&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=134444&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134444&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 time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size105
Sample standard deviation1.77115677933839
Confidence0.95
Null hypothesis0
Sample Mean1.4952380952381
2-sided Confidence Interval[ 1.15247560530969 , 1.8380005851665 ]
Left-sided Confidence Interval[ 1.20837440627887 , +inf ]
Right-sided Confidence Interval[ -inf, 1.78210178419732 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 105 \tabularnewline
Sample standard deviation & 1.77115677933839 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.4952380952381 \tabularnewline
2-sided Confidence Interval & [ 1.15247560530969 , 1.8380005851665 ] \tabularnewline
Left-sided Confidence Interval & [ 1.20837440627887 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.78210178419732 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=134444&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]105[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.77115677933839[/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]1.4952380952381[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 1.15247560530969 , 1.8380005851665 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 1.20837440627887 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.78210178419732 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=134444&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=134444&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 size105
Sample standard deviation1.77115677933839
Confidence0.95
Null hypothesis0
Sample Mean1.4952380952381
2-sided Confidence Interval[ 1.15247560530969 , 1.8380005851665 ]
Left-sided Confidence Interval[ 1.20837440627887 , +inf ]
Right-sided Confidence Interval[ -inf, 1.78210178419732 ]


Figures (Output of Computation)

Input Parameters & R Code

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