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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationTue, 24 Jan 2017 22:13:52 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Jan/24/t1485292438idhdjqllhujf07s.htm/, Retrieved Tue, 14 May 2024 14:19:28 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Tue, 14 May 2024 14:19:28 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19.6427
13.7242
14.8027
8.42832
6.80835
8.82499
8.76937
7.69536
7.65933
1.86731
3.72965
3.26542
-7.7517
0.957393
-3.04433
-12.5655
-6.9441
-6.8168
-8.56987
-4.46034
-11.229
-3.03305
-9.87928
-4.30931
-2.82241
-2.62636
-4.92814
-2.61029
-6.89788
-7.6867

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig 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 time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=0

As an alternative you can also use a QR Code:  
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 Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Hypothesis Test about the Mean - Confidence Interval
Sample size30
Sample standard deviation8.37011876627725
Confidence0.95
Null hypothesis-3
Sample Mean1.10000000006945e-06
2-sided Confidence Interval[ -3.12545261272206 , 3.12545481272206 ]
Left-sided Confidence Interval[ -2.596549802679 , +inf ]
Right-sided Confidence Interval[ -inf, 2.596552002679 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 30 \tabularnewline
Sample standard deviation & 8.37011876627725 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & -3 \tabularnewline
Sample Mean & 1.10000000006945e-06 \tabularnewline
2-sided Confidence Interval & [ -3.12545261272206 , 3.12545481272206 ] \tabularnewline
Left-sided Confidence Interval & [ -2.596549802679 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  2.596552002679 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]30[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]8.37011876627725[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]-3[/C][/ROW]
[ROW][C]Sample Mean[/C][C]1.10000000006945e-06[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -3.12545261272206 , 3.12545481272206 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -2.596549802679 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  2.596552002679 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size30
Sample standard deviation8.37011876627725
Confidence0.95
Null hypothesis-3
Sample Mean1.10000000006945e-06
2-sided Confidence Interval[ -3.12545261272206 , 3.12545481272206 ]
Left-sided Confidence Interval[ -2.596549802679 , +inf ]
Right-sided Confidence Interval[ -inf, 2.596552002679 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 121248484848FALSE121101two.sidedgrey1111121212greygrey1111111111two.sidedtwo.sided12greytwo.sidedgrey1112greytwo.sidedgrey1111two.sidedtwo.sidedtwo.sidedtwo.sided111two.sidedtwo.sided12greypearson0.950.950.95 ; par2 = -0.3-0.3-0.3-0.3-0.3-0.3Do not include Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal Dummies0.95no2222nono222Do not include Seasonal DummiesDo not include Seasonal Dummies2222222Do not include Seasonal Dummies0.950.95SinglenoDo not include Seasonal Dummies0.95no22no0.99no22220.970.97Do not include Seasonal Dummies0.970.97222Do not include Seasonal Dummies0.950.95Doubleno-3-3-3 ; par3 = 011000No Linear TrendNo Linear TrendNo Linear TrendNo Linear Trend1133Exact Pearson Chi-Squared by SimulationExact Pearson Chi-Squared by Simulation3Exact Pearson Chi-Squared by SimulationExact Pearson Chi-Squared by SimulationNo Linear TrendNo Linear TrendTRUE30,990,990,990.99Exact Pearson Chi-Squared by SimulationNo Linear Trend-3-3additiveNo Linear Trend113Exact Pearson Chi-Squared by Simulation1533Exact Pearson Chi-Squared by SimulationExact Pearson Chi-Squared by Simulation1919No Linear Trend191930.99Exact Pearson Chi-Squared by SimulationNo Linear Trend-3-3additive ; par4 = 001111FALSETRUETRUETRUEtwo.sidedtwo.sidedtwo.sidedtwo.sided12TRUETRUETRUETRUEtwo.sided1212 ; par5 = 121212121212pairedpairedpairedpairedpaired ; par6 = White NoiseWhite NoiseWhite NoiseWhite Noise3300000 ; par7 = 0.950.950.950.9510 ; par8 = 22 ; par9 = 10 ; par10 = FALSE ;
Parameters (R input):
par1 = 0.95 ; par2 = -3 ;
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')