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*The author of this computation has been verified*

R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Fri, 12 Dec 2014 12:17:06 +0000

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/2014/Dec/12/t1418386676vsh2415nq91gusk.htm/, Retrieved Thu, 16 May 2024 22:57:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266590, Retrieved Thu, 16 May 2024 22:57:42 +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] [] [2014-12-12 12:17:06] [003c997d057e54927bd887526d955d96] [Current]

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0.441223
-0.104706
0.625587
-5.86138
-4.90731
-1.03239
1.63862
-0.854869
-2.82197
-4.1705
-1.4008
-6.39428
-0.808615
-2.38777
-2.94673
-0.841514
-1.49298
-2.47311
-3.2034
-2.3021
-5.01252
0.85588
-1.7692
0.408324
-1.09819
-3.25617
0.0464344
0.796597
-2.82848
-0.670504
-3.835
-0.604706
-2.44021
-3.99949
-1.7034
-1.34151
-1.60471
0.520375
-3.9337
-1.56529
-5.84151
-1.10471
-0.0981913
-1.4337
0.059789
-1.835
-1.13109
-5.2034
1.0334
0.750668
-1.03891
-4.64412
-0.808615
0.757183
0.6979
-1.47311
-5.74282
2.3295
-1.51904
1.1979
-3.72327
0.619072
-4.63761
2.07282
-2.53891
-2.14412
-2.96008
-1.61155
1.75718
0.02689
-1.66399
-0.275716
-2.7363
0.737314
0.0334048
-0.262686
0.790082
0.171516
-2.24282
-4.99949
-1.97311
1.72428
-1.9008
-5.64412
-2.7692
-1.42718
-0.874413
-0.979625
-3.24282
1.55979
1.15849
-5.67702
-2.22979
-2.57832
-4.01252
-2.01252
-3.40731
0.151971
2.52038
-5.03891
-0.97311
-1.40731
-2.70992
-3.1705
1.86239
-3.47311
1.25718
-5.87441
-4.54542
-2.7692
-0.209918
0.119072
-4.71643
1.1979
2.96109
3.46109
0.125262
1.84937
0.941223
2.80963
-2.5262
3.38226
2.36891
4.11907
-2.03891
0.290082
1.96109
-1.22979
2.50702
1.98748
1.55327
0.112232
2.02689
0.599203
1.29008
-0.236302
4.19139
-3.14412
1.90832
0.809626
0.421678
3.25067
-0.828484
2.7637
1.50051
1.97412
-0.506009
0.730799
-0.8021
3.05979
-4.00601
1.30963
2.89529
2.2637
3.35588
0.836011
2.54643
2.86239
0.276727
0.059789
3.30963
2.2966
1.17152
4.42168
3.24383
1.15197
2.50702
3.38226
1.3295
-1.69689
1.5992
3.50051
0.434708
1.72428
1.72428
2.86891
-0.598191
3.7637
0.500506
-2.47962
-1.42067
0.895294
3.17152
0.36891
-2.30861
1.36891
4.45458
-0.538908
1.11256
0.428193
0.790082
1.83601
-1.64412
3.39529
2.09269
2.2637
-1.19689
0.763698
3.42168
1.7308
3.40181
2.25718
-0.00600906
1.89529
-0.348029
3.42168
-1.63761
2.88878
2.11223
1.80311
1.46109
1.79008
-1.82848
1.29008
0.908324
-0.440211
2.2308
3.55979
0.895294
1.50051
2.55979
-2.34151
1.25067
1.28357
4.00051
2.88878
2.55327
4.19139
2.51354
3.2966
3.45458
2.38194
1.79008
-1.14412
-1.04542
-4.94673
1.21777
-1.8021
-0.8021
-0.742817
-0.499494
-2.1705
2.15849
3.24383
1.05327
1.50051
1.27673
-0.111221
0.171516
-0.578322
-1.78223
-1.59819
2.50051
1.63862
-1.00601
2.73731
-2.61122
-4.17702
-0.598191
-5.60471
1.15197
1.49399
-1.34151
2.15849
2.7966
1.39529
2.85588
1.15849
3.42819
0.658486
4.11907
0.454577
1.36891
2.63862
1.50051
2.19139
2.5663

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	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational 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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266590&T=0

[TABLE]
[ROW][C]Summary of computational 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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266590&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266590&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	'Gwilym Jenkins' @ jenkins.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	277
Sample standard deviation	2.45867434140476
Confidence	0.95
Null hypothesis	0
Sample Mean	3.459927797836e-07
2-sided Confidence Interval	[ -0.290815320562781 , 0.290816012548341 ]
Left-sided Confidence Interval	[ -0.243807992772255 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.243808684757815 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 277 \tabularnewline
Sample standard deviation & 2.45867434140476 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 3.459927797836e-07 \tabularnewline
2-sided Confidence Interval & [ -0.290815320562781 , 0.290816012548341 ] \tabularnewline
Left-sided Confidence Interval & [ -0.243807992772255 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.243808684757815 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266590&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]277[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]2.45867434140476[/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]3.459927797836e-07[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.290815320562781 , 0.290816012548341 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.243807992772255 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.243808684757815 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266590&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266590&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	277
Sample standard deviation	2.45867434140476
Confidence	0.95
Null hypothesis	0
Sample Mean	3.459927797836e-07
2-sided Confidence Interval	[ -0.290815320562781 , 0.290816012548341 ]
Left-sided Confidence Interval	[ -0.243807992772255 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.243808684757815 ]

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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