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 computationThu, 06 Dec 2018 17:06:50 +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/2018/Dec/06/t1544112683wydmy51ey6q43i9.htm/, Retrieved Thu, 02 May 2024 20:12:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315785, Retrieved Thu, 02 May 2024 20:12:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

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] [Probleem 1 OV 1. ] [2018-12-06 16:06:50] [2798cb2ba7c98983ee6ef359c139afa6] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2.75
3.5
3.75
3
4
3.75
2.75
3.25
3.5
3.5
3
3.75
2.75
2.75
2.75
2.75
3
2.5
3.5
3.5
3
3
3.5
3.75
3
3
3.5
3
3.25
5
3
3
3.5
3.5
3
3.5
3.5
3.75
3.25
3.75
3.25
2.75
3
3.25
3.75
2.75
3.75
3.75
3.75
3.75
2.5
3
3.75
2.75
3
3.5
3.5
3.5
3.5
4
4
3.75
3
3
3.25
3.25
3.5
3
3
3.25
3.5
3
3
2.75
2.75
3.5
3.5
3.75
3.5
4
3.25
2.75
3
3
3.75
4
4
4
2.75
3.5
3.75
4
3
3.5
3.5
3.25
3
3
2.75
3.25
3.25
2.5
3.5
3.25
3.5
3.75
3.5
3.75
3.5
3.5
3.25
4
4
3
3.5
2.75
2.25
2.5
2.5
3
3.25
3.5
3
2.75
3
3.25
3.25
3.5
4
3.5
2.75
3
3.5
2.5
3.25
2.75
2.75
3
3.25
2.75
3.5
2.5
2.75
3.75
3.25
3.5
3.75
3.75
2.75
3.25
2.5
3
3.25
3.5
3.5
2.5
2.5
2.5
2.5
2.75
3
3
2.75
3.75
3
4
1
3
2.75
3.75
2.75
3.5
3.75
3.5
3.25
3
3
3.25
3
3.25
3
3
2.5
2.75
3.25
3.25
3.25
3.25
3.5
3
3
3.5
3.25
3
3.75
4
3
3.25
3
3
2.5
3.25
2.5
2.5
3
3.5
3.5
2.75
2.75
3
2.75
3.25
3
3
3.75
3.5
3
3
3.25
3.5
3.5
3.75
3
3.25
3.5
2.75
2.5
4
3.5
3.75
3.75
3.25
2.75
3.5
3.25
3.5
3
2.75
3
2.5
2.5
3
2.75
3.5
3.25
3.25
3
3.25
2.75
3.5
3
2.5
3
2.75
3.5
3
3
2.75
3.75
3
3.5
3.5
2.5
4
4
4
3
2.75
3.25
3.5
2.75
3
3.25
4
2.75
3
3.25
3.5
3.75
3.25
3.25
4
3.5
3.5
3.5
3
3.25
2.75
2.5
3
3.25
3
3
2.75
3
2.75
3.5
3
2.75
2.75
3.25
3.5
3.5
3.5
4
1.75
3
3.5
3
3
3.25
2.75
2.5
3
3.5
3
3.75
3.75
3.75
3.75
3.25
3.75
4
3.5
4
4
2.75
3.5
3.25
3.5
2
2.75
3.5
3.5
3.75
3
3
3.25
3.25
3.75
2.5
3
3.75
3.25
3.5
3
3.5
3.25
2.75
2.75
3.5
3.75
3.5
3
3
3
3.5
3.5
3
3.5
3.5
3.5
3.5
3.75
4
3.5
3.25
3.25
2.75
3.5
3.5
3.75
3.5
3.25
3.5
2.75
3.5
3.25
3.5
3.75
3.5
3.5
3.5
3.5
3.5
3
3.5
3.5
2.75
3
3
2.75
3.5
2.75
3.5
4
4
3.75
3.25
3.25
3.5
3
2.5
2.5
3.5
3.5
3.5
3.5
3
4
3.5
3.5
3.25
2
2.5
3.25
3
2.75
3
2.5
3.25
2.75
2.5
3.5
2.5
3.75
2
2.75
3
2.25
2.75
3
3
3
3
3.75
2.75
3
3.5
2.5
3.75
3.75
3.75
4
2.75
3.5
3
2.75
3.75
3.5
2.75
2.75
3
3
3
3
3
3.25
3.75
3.75
3.75
4
3.5
3.5
4
2.25
2.75
3.25
3
3.25
3
3
3
4
4
3
4
2.75
3.25
2.5
2.75
3.5
3
3
4
3
3.5
3.5
3.5
3.75
3.5
3.5
4
3
3
3.25
3.5
3
3.5
3.5
2.75
3.25
2.75
3
2.75
3.25
3.5
3.25
3.75
4
3.5
3.25
3.25
3.5
3.75
3.5
3.75
3
3.5
2.75
2.75
3
2.25
2.5
3.5
2.75
3.5
3.5
3.5
2.75
3.5
4
3.75
2
3.25
3.5
2.75
3
3.5
3
3.25
3.25
3
3.75
3.75
2.75
3.75
4
3
3.25
3.5
3.75
3.75
1.5
3
3
3
3.5
3.75
4
3.5
3.25
3.75
3.25
2.75
3.75
3.75
4
3.25
4
3.5
3.75
3.5
2.75
3.75
3.5
3
3.5
3
3.5
3.75
3.75
2.75
3
3
2.75
2.75
3.25
3.25
3.25
3.25
3.5
3.75
3.5
3.5
3.25
2.75
3.25
3
2
2.5
3.75
3.75
3.75
3.75
3.75
3.25
3.5
3
4
3
3.5
3
3
3.25
4
3.5
3.75
2.5
2.75
3
2.5
3.5
2.5
2.75
2.75
2.75
2.75
3
3
3.25
3.5
3.5
2.75
3
2.75
3.5
2.5
2.5
2.75
3.25
2.75
3
3
3.25
3
3.5
3.25
3.25
3.5
2.75
3.5
3.5
3.25
3
3.5

Tables (Output of Computation)





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=315785&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=315785&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315785&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 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 size656
Sample standard deviation0.448971704161399
Confidence0.98
Null hypothesis3
Sample Mean3.22713414634146
2-sided Confidence Interval[ 3.1862546306494 , 3.26801366203353 ]
Left-sided Confidence Interval[ 3.19106132251646 , +inf ]
Right-sided Confidence Interval[ -inf, 3.26320697016647 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 656 \tabularnewline
Sample standard deviation & 0.448971704161399 \tabularnewline
Confidence & 0.98 \tabularnewline
Null hypothesis & 3 \tabularnewline
Sample Mean & 3.22713414634146 \tabularnewline
2-sided Confidence Interval & [ 3.1862546306494 , 3.26801366203353 ] \tabularnewline
Left-sided Confidence Interval & [ 3.19106132251646 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  3.26320697016647 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315785&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]656[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.448971704161399[/C][/ROW]
[ROW][C]Confidence[/C][C]0.98[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]3[/C][/ROW]
[ROW][C]Sample Mean[/C][C]3.22713414634146[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 3.1862546306494 , 3.26801366203353 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 3.19106132251646 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  3.26320697016647 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315785&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315785&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 size656
Sample standard deviation0.448971704161399
Confidence0.98
Null hypothesis3
Sample Mean3.22713414634146
2-sided Confidence Interval[ 3.1862546306494 , 3.26801366203353 ]
Left-sided Confidence Interval[ 3.19106132251646 , +inf ]
Right-sided Confidence Interval[ -inf, 3.26320697016647 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.98 ; par2 = 3 ;
Parameters (R input):
par1 = 0.98 ; par2 = 3 ;
R code (references can be found in the software module):
par2 <- '3'
par1 <- '0.96'
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')