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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 computationSat, 17 Dec 2016 04:18:32 +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/2016/Dec/17/t14819448083lit6y07e6alz50.htm/, Retrieved Thu, 02 May 2024 02:09:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300593, Retrieved Thu, 02 May 2024 02:09:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

Tree of Dependent Computations

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] [mean (unknown var...] [2016-12-17 03:18:32] [1e2c9196efc58119c3757b6c78ac7c5f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-2.759
2.241
0.7181
0.7515
-1.792
3.28
-1.572
2.461
-1.394
-1.321
2.645
-0.7157
3.131
1.202
-1.288
-2.541
3.897
-0.4605
-0.6528
-0.6863
-5.52
3.325
2.862
-0.03237
-1.215
1.284
0.7124
2.319
0.6414
-2.649
2.602
3.712
-11.33
2.351
-0.6488
-1.615
-0.6488
2.617
-0.4687
-1.288
1.078
-2.5
3.394
2.385
-9.105
-3.176
-0.7964
-0.6863
-0.8689
1.862
1.675
-0.5762
0.4238
2.534
-0.3267
2.461
-3.826
-0.3251
-3.254
-4.496
0.7557
0.7124
0.7515
-0.4661
0.07357
-1.891
-0.6153
-3.504
-0.3977
-2.649
3.241
-4.398
-3.649
1.858
-2.508
2.968
1.169
-2.394
1.824
2.645
-1.392
-2.392
1.474
2.492
-3.288
2.314
1.785
3.131
-1.398
-1.253
-1.031
3.641
-0.4495
2.679
1.241
2.107
-1.288
3.092
1.401
-4.323
1.351
2.275
3.901
-3.248
0.3137
-1.653
-0.3977
1.636
1.165
-2.725
-1.576
-4.215
0.4238
-2.253
1.314
0.9676
0.1645
3.422
-0.07149
-2.105
-1.215
1.496
3.347
0.6749
0.6749
0.3512
0.2411
-1.392
0.7124
1.863
0.4196
3.208
-1.543
-0.4271
-1.288
1.752
-5.398
-0.9599
1.822
3.347
2.714
-2.465
-0.7629
-0.7438
0.8225
2.874
3.457
0.789
1.208
-0.7772
-0.2876
-5.398
-1.215
1.858
0.2411
-0.3935
-4.763
2.208
1.752
-1.724
0.4613
2.853
1.857
2.602
-0.2819
-0.8355
-0.2876
-2.248

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=300593&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=300593&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300593&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 size168
Sample standard deviation2.47058594194273
Confidence0.95
Null hypothesis0
Sample Mean-6.77976190476207e-05
2-sided Confidence Interval[ -0.376383275973059 , 0.376247680734964 ]
Left-sided Confidence Interval[ -0.31534203105151 , +inf ]
Right-sided Confidence Interval[ -inf, 0.315206435813415 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 168 \tabularnewline
Sample standard deviation & 2.47058594194273 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & -6.77976190476207e-05 \tabularnewline
2-sided Confidence Interval & [ -0.376383275973059 , 0.376247680734964 ] \tabularnewline
Left-sided Confidence Interval & [ -0.31534203105151 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.315206435813415 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300593&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]168[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]2.47058594194273[/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]-6.77976190476207e-05[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.376383275973059 , 0.376247680734964 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.31534203105151 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.315206435813415 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300593&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300593&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 size168
Sample standard deviation2.47058594194273
Confidence0.95
Null hypothesis0
Sample Mean-6.77976190476207e-05
2-sided Confidence Interval[ -0.376383275973059 , 0.376247680734964 ]
Left-sided Confidence Interval[ -0.31534203105151 , +inf ]
Right-sided Confidence Interval[ -inf, 0.315206435813415 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1111110.95 ; par2 = 2222220 ; par3 = TRUETRUETRUEFALSETRUETRUE ;
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')