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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

Sat, 15 Dec 2007 08:35:03 -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/15/t1197731961gltvz3ynv09voyd.htm/, Retrieved Thu, 02 May 2024 16:00:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4074, Retrieved Thu, 02 May 2024 16:00:15 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

219

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] [Is het gemiddelde...] [2007-12-15 15:35:03] [757ef2b8266f339cc1cb96dcaefa4cf0] [Current]

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0.0906994806859607
-2.05309459896154
-3.06135546046306
-2.41086153932905
8.8282969620072
3.17037688336245
-1.82946154130440
2.09893212489149
-2.12995256330890
4.67390341252958
1.85635647952823
-1.45443114103478
-2.15327321264881
-0.0119499794432283
0.60232799175559
-1.58270583970295
-1.27187660498875
-4.07671192325702
-0.0158659591009008
2.53342603947943
-0.725489977159553
2.16699639801453
-0.973225782118957
-3.35879809076714
3.45693280002973
-1.24716030099187
-0.892147814293759
5.52866559865013
3.56604347895063
-2.17724780548525
3.35326210156776
0.72980302029522
4.39290684433774
2.76511576447233
-3.10012338190274
0.706060895344024
2.8214538309722
-1.61349162931542
-4.59626205923195
-10.1663615258021
0.14775842151694
2.65516408356631
5.85770442321751
-5.94029673299282
-2.33468415767436
0.838746841257418
-1.58258495331596
4.81442012457985
3.54340434326770
4.37788895068236
2.48412807922954
10.6860768139095
-5.14981961629594
5.54433289604033
-2.03596530593367
1.59393551358879
1.04651113428434
0.250342143202047
6.25129397761734
1.90280235604983
-3.47963797139388
0.901514825515989
1.75281722895009
-1.41060861638547
1.16864867124654
-2.56542019031897
1.03942389637326
2.71623585250740
2.22898944081658
-2.01650313432889

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=4074&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=4074&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4074&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	70
Sample standard deviation	3.47744575407510
Confidence	0.95
Null hypothesis	0
Sample Mean	0.538947581643454
2-sided Confidence Interval	[ -0.290220090214203 , 1.36811525350111 ]
Left-sided Confidence Interval	[ -0.154013887558717 , +inf ]
Right-sided Confidence Interval	[ -inf, 1.23190905084563 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 70 \tabularnewline
Sample standard deviation & 3.47744575407510 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.538947581643454 \tabularnewline
2-sided Confidence Interval & [ -0.290220090214203 , 1.36811525350111 ] \tabularnewline
Left-sided Confidence Interval & [ -0.154013887558717 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  1.23190905084563 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4074&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]70[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.47744575407510[/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]0.538947581643454[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.290220090214203 , 1.36811525350111 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.154013887558717 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  1.23190905084563 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4074&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4074&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	70
Sample standard deviation	3.47744575407510
Confidence	0.95
Null hypothesis	0
Sample Mean	0.538947581643454
2-sided Confidence Interval	[ -0.290220090214203 , 1.36811525350111 ]
Left-sided Confidence Interval	[ -0.154013887558717 , +inf ]
Right-sided Confidence Interval	[ -inf, 1.23190905084563 ]

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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