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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Thu, 01 Feb 2018 09:27:43 +0100

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/2018/Feb/01/t1517473671qr8rysz1j1uuyyn.htm/, Retrieved Sun, 28 Apr 2024 22:01:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=313558, Retrieved Sun, 28 Apr 2024 22:01:23 +0000

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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] [] [2018-02-01 08:27:43] [b1f7c59fedc08def0443d20f9974e39d] [Current]

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2.80030819572237
0.546110929167911
-1.08882457056234
1.85116612407754
1.81431171737364
1.10336738027983
-1.1245171435247
1.71646640041695
0.793858512491152
-1.07059339259452
1.37785351123131
-0.79301277417615
-0.213022653692917
0.325551388183876
-3.07152677312816
-1.6593526905903
-0.977898156347797
2.77746716194583
0.659684775709612
-0.399824712085136
-1.94483744059989
2.63902152884315
0.830351272801263
0.239452118133438
-1.98023780133566
-3.14893729642629
1.52344843344618
1.52324864513037
3.07560476768955
1.68333908953913
-0.0411419750371334
-1.42576307236563
0.603469563697563
-2.02817409689518
2.36128930601495
-4.84900520812879
-0.296289875821015
-0.273406341522266
-2.41797545929271
-0.735276518673968
-0.758208236878704
0.719357808400705
3.82579134038112
0.751147004565213
-0.686160672385733
2.7839041091014
-0.353356298124068
-1.19565368260915
1.51622971016679
0.687899021959271
-1.03746150319703
0.232258589016444
0.954677970598071
0.253726601750312
0.0906111040418593
-0.337464765144114
-0.146645835344418
-2.14580429676713
-2.64273856198557
-1.69885035349378
0.0886900288640063
2.94885012445766
2.74086814209461
-2.78292060200689
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1.5019821601947
0.928451976610637
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0.241189107006538
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1.54593083942837
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1.00922794934105
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1.03045019427192
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0.497954292194177
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1.25212054898028
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1.80505691986507
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2.73997287136118
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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313558&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]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=313558&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313558&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	1 seconds
R Server	Big Analytics Cloud Computing Center

Hypothesis Test about the Mean - Confidence Interval
Sample size	179
Sample standard deviation	1.64473729251483
Confidence	0.99
Null hypothesis	0
Sample Mean	8.18627153184949e-17
2-sided Confidence Interval	[ -0.320085645648633 , 0.320085645648633 ]
Left-sided Confidence Interval	[ -0.288583717382219 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.288583717382219 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 179 \tabularnewline
Sample standard deviation & 1.64473729251483 \tabularnewline
Confidence & 0.99 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 8.18627153184949e-17 \tabularnewline
2-sided Confidence Interval & [ -0.320085645648633 , 0.320085645648633 ] \tabularnewline
Left-sided Confidence Interval & [ -0.288583717382219 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.288583717382219 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313558&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]179[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.64473729251483[/C][/ROW]
[ROW][C]Confidence[/C][C]0.99[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]8.18627153184949e-17[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.320085645648633 , 0.320085645648633 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.288583717382219 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.288583717382219 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=313558&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313558&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	179
Sample standard deviation	1.64473729251483
Confidence	0.99
Null hypothesis	0
Sample Mean	8.18627153184949e-17
2-sided Confidence Interval	[ -0.320085645648633 , 0.320085645648633 ]
Left-sided Confidence Interval	[ -0.288583717382219 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.288583717382219 ]

Parameters (Session):

Parameters (R input):

par1 = 0.99 ; 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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Tables (Output of Computation)

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Input Parameters & R Code