Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Tue, 18 Dec 2007 13:07:46 -0700

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/2007/Dec/18/t11980074494lrtd7lm7hm1hi0.htm/, Retrieved Sat, 04 May 2024 10:05:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4590, Retrieved Sat, 04 May 2024 10:05:46 +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

PTMWUVRR

Estimated Impact

174

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] [Paper - Testing m...] [2007-12-18 20:07:46] [e51d7ab0e549b3dc96ac85a81d9bd259] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

1.74138367229942
-2.88580372001652
-3.00801521083293
5.35873352650856
-0.350197418097050
-4.44477983570422
-14.1704246279256
5.06291770302617
8.16317098727172
-6.63032011800066
-0.955084752066612
4.76580237731785
4.64634662056524
-3.37632197945722
-3.48596660066835
0.00318885841739619
-2.30873579009489
4.510676743397
3.86380235714235
-4.84743390386536
1.19326683102373
9.49359417425812
-5.7256091522179
-6.7409221436693
-8.37465970382766
2.41947579953488
2.51107146040831
2.31318281556092
-3.02118693681124
3.49111382410466
-5.27208657466297
-1.65652539783093
1.158900365591
3.29699796504326
5.45943755223924
-3.39089745529757
-3.24888068501405
-3.76725354399628
-1.01610429731824
-0.141686930225946
-2.40143497370904
3.01483128334767
-2.37153731174333
1.90350531137286
-3.75249259201867
-1.15949421149824
1.41625767699710
0.756276066572336
1.74232125798030
-2.82713799160403
2.91169906841461
-7.53666538846806
8.89398251304836
-1.48741996092416
3.26139630257603
-3.15021888842772
3.8905793816289
7.41906373843078
7.78286136215999
-3.77518512848798
0.0882557144562938
1.75385231671455
1.56061031268522
-1.4983198165646
4.36211820238709
2.31013654316626
-2.33448411305145
-1.40752353154939

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4590&T=0

[TABLE]
[ROW][C]Summary of compuational 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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4590&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4590&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Hypothesis Test about the Mean - Confidence Interval
Sample size	68
Sample standard deviation	4.45935175172623
Confidence	0.95
Null hypothesis	0
Sample Mean	1.23364668664295e-16
2-sided Confidence Interval	[ -1.07939307868804 , 1.07939307868805 ]
Left-sided Confidence Interval	[ -0.901968724614365 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.901968724614365 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 68 \tabularnewline
Sample standard deviation & 4.45935175172623 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.23364668664295e-16 \tabularnewline
2-sided Confidence Interval & [ -1.07939307868804 , 1.07939307868805 ] \tabularnewline
Left-sided Confidence Interval & [ -0.901968724614365 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.901968724614365 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4590&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]68[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.45935175172623[/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]1.23364668664295e-16[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -1.07939307868804 , 1.07939307868805 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.901968724614365 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.901968724614365 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4590&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4590&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	68
Sample standard deviation	4.45935175172623
Confidence	0.95
Null hypothesis	0
Sample Mean	1.23364668664295e-16
2-sided Confidence Interval	[ -1.07939307868804 , 1.07939307868805 ]
Left-sided Confidence Interval	[ -0.901968724614365 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.901968724614365 ]

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