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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 14:09:16 -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/t11980111315xr1pgt5x2emn2x.htm/, Retrieved Sat, 04 May 2024 07:08:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4613, Retrieved Sat, 04 May 2024 07:08:08 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

PTMRM

Estimated Impact

168

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 21:09:16] [e51d7ab0e549b3dc96ac85a81d9bd259] [Current]

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Dataseries X:

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2.61072861587664
-1.64151512748939
-5.53397130675664
-11.8684507675144
4.92307208512571
6.26712823161773
-2.76872599233773
-3.56312607919330
3.84610531691476
3.92414528449639
-2.60085355983359
-4.52415672464345
0.712363410392165
-3.83027221556495
1.64369314986718
5.1373157082981
-4.77891279135298
-0.543348509239105
10.7317442356705
-7.66239213978311
-6.30680235597392
-7.34729981849825
0.617800822224108
2.85035364935883
1.77740032934145
-3.90118201853709
4.6323076169406
-1.74030963922678
-3.27944132766354
1.09665938498306
7.05463838922537
2.50775091630909
-4.16477564673257
-3.97156359496111
-4.61876313016936
-1.80864980481552
-0.236907168104795
-3.15041173459177
3.37110805438328
-2.30793345402054
2.737897737493
-1.58208769004317
-2.47767476900079
0.167763916859109
1.76974633325578
0.440544884754961
-2.45008188331654
4.47063460393658
-6.94943202424074
8.91682112964061
-0.296516314946182
2.40580572796091
-1.75212202583747
5.39306701500983
6.30609401440519
7.82784320522538
-2.60554495964265
1.29269020570918
1.09083902934299
0.640809564220057
-0.654553416503333
3.45822878067978
1.27021269162882
-1.88415061828193
0.908614567669563

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=4613&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=4613&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4613&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	65
Sample standard deviation	4.33358604025199
Confidence	0.95
Null hypothesis	0
Sample Mean	1.55255249094911e-16
2-sided Confidence Interval	[ -1.07381004334371 , 1.07381004334371 ]
Left-sided Confidence Interval	[ -0.897119860472032 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.897119860472032 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 65 \tabularnewline
Sample standard deviation & 4.33358604025199 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 1.55255249094911e-16 \tabularnewline
2-sided Confidence Interval & [ -1.07381004334371 , 1.07381004334371 ] \tabularnewline
Left-sided Confidence Interval & [ -0.897119860472032 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.897119860472032 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4613&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]65[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.33358604025199[/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]1.55255249094911e-16[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -1.07381004334371 , 1.07381004334371 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.897119860472032 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.897119860472032 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4613&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4613&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	65
Sample standard deviation	4.33358604025199
Confidence	0.95
Null hypothesis	0
Sample Mean	1.55255249094911e-16
2-sided Confidence Interval	[ -1.07381004334371 , 1.07381004334371 ]
Left-sided Confidence Interval	[ -0.897119860472032 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.897119860472032 ]

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')

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