Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Fri, 12 Dec 2014 10:21:18 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/12/t1418379728p606vl2a9cxgxoi.htm/, Retrieved Sun, 19 May 2024 15:27:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266476, Retrieved Sun, 19 May 2024 15:27:09 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

112

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] [] [2014-12-12 10:21:18] [478aede7ebf40ce01402b5cfefb74b76] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

-0.304577
-1.00458
-0.404577
-5.80458
-6.50458
-0.604577
1.59542
0.0954225
-2.10458
-5.00458
-1.80458
-6.80458
-2.60458
-1.20458
-6.90458
-1.46963
-1.30458
-3.90458
-3.16963
-3.20458
-6.80458
0.595423
-2.40458
0.595423
-1.50458
-2.30458
3.33037
0.63037
-3.30458
-1.70458
-4.90458
-1.50458
-4.20458
-3.50458
-2.40458
-2.90458
-2.80458
-0.0696296
-3.90458
-1.40458
-7.30458
-1.80458
-0.204577
-2.40458
-0.46963
-1.90458
-1.40458
-4.86963
-0.504577
-0.46963
-1.16963
-6.06963
-2.30458
-0.66963
0.0954225
-3.10458
-7.06963
1.09542
-4.76963
0.53037
-3.90458
-0.704577
-5.60458
2.69542
-4.00458
-3.66963
-2.10458
-0.204577
1.29542
-0.56963
-0.904577
-1.80458
-3.96963
1.83037
-0.604577
-0.204577
-0.16963
-0.00457746
-2.86963
-5.50458
-2.26963
0.63037
-1.86963
-8.46963
-2.46963
-0.96963
-1.56963
-1.36963
-4.16963
0.43037
-0.16963
-7.16963
-2.86963
-3.96963
-5.06963
-3.76963
-5.46963
-1.36963
0.83037
-4.86963
-2.06963
-2.46963
-4.46963
-3.16963
1.43037
-4.26963
0.73037
-7.86963
-6.36963
-3.16963
-1.16963
-1.66963
-8.85458
-0.504577
4.89542
4.64542
3.83037
-0.16963
3.89542
5.89542
2.89542
0.145423
5.19542
1.49542
-2.60458
-0.604577
2.99542
0.395423
6.13037
0.895423
1.29542
2.94542
1.54542
1.59542
-0.754577
-0.554577
4.14542
-4.60458
5.19542
2.89542
-1.16963
4.54542
2.04542
4.44542
3.14542
4.44542
0.395423
1.14542
1.54542
5.04542
-3.30458
2.79542
5.04542
3.64542
1.83037
1.08037
5.74542
2.39542
2.08037
-1.01963
5.68037
3.13037
3.89542
2.89542
7.13037
-1.81963
5.68037
2.33037
2.23037
-1.41963
3.18037
5.33037
1.83037
2.19542
2.19542
4.83037
0.145423
5.89542
2.58037
-5.60458
0.63037
1.13037
5.89542
2.48037
0.13037
3.33037
4.58037
0.38037
-0.61963
-0.16963
-2.41963
2.63037
-3.16963
5.43037
0.83037
2.08037
1.54542
1.33037
2.13037
3.48037
6.04542
0.83037
0.395423
2.88037
-0.454577
1.83037
-3.35458
-0.11963
6.43037
3.83037
-1.56963
2.04542
-1.30458
0.43037
3.14542
-0.804577
3.08037
4.94542
-1.61963
2.88037
4.54542
-5.11963
-0.854577
2.39542
6.09542
2.43037
3.89542
2.83037
5.19542
5.84542
5.34542
5.89542
0.33037
-0.354577
-3.70458
-8.70458
-0.91963
0.395423
-1.50458
-0.36963
0.145423
-1.36963
2.13037
7.13037
-1.56963
1.83037
4.39542
0.845423
2.89542
0.145423
-1.35458
-1.25458
1.98037
2.38037
-0.00457746
4.08037
-4.91963
-5.50458
-0.16963
-4.91963
-1.81963
-0.41963
-2.81963
2.13037
3.88037
0.63037
1.18037
2.93037
4.08037
-1.81963
2.58037
-0.56963
2.33037
4.98037
2.43037
1.39542
3.88037

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 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=266476&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=266476&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266476&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 Output	view raw output of R engine
Computing time	0 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	277
Sample standard deviation	3.38076398854223
Confidence	0.95
Null hypothesis	0
Sample Mean	-1.11740072201895e-06
2-sided Confidence Interval	[ -0.399882922094388 , 0.399880687292944 ]
Left-sided Confidence Interval	[ -0.33524618744615 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.335243952644706 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 277 \tabularnewline
Sample standard deviation & 3.38076398854223 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & -1.11740072201895e-06 \tabularnewline
2-sided Confidence Interval & [ -0.399882922094388 , 0.399880687292944 ] \tabularnewline
Left-sided Confidence Interval & [ -0.33524618744615 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.335243952644706 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266476&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]277[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.38076398854223[/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]-1.11740072201895e-06[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.399882922094388 , 0.399880687292944 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.33524618744615 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.335243952644706 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266476&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266476&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 size	277
Sample standard deviation	3.38076398854223
Confidence	0.95
Null hypothesis	0
Sample Mean	-1.11740072201895e-06
2-sided Confidence Interval	[ -0.399882922094388 , 0.399880687292944 ]
Left-sided Confidence Interval	[ -0.33524618744615 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.335243952644706 ]

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code