Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*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

Sun, 10 Dec 2017 15:50:12 +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/2017/Dec/10/t1512917542i9zwvakgk9ti0z5.htm/, Retrieved Wed, 15 May 2024 00:53:03 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308932, Retrieved Wed, 15 May 2024 00:53:03 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

109

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] [2017-12-10 14:50:12] [de41148bc22dc60de494a82836f9abe5] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

-1.874
0.767972123
-0.017766158
1.144979192
0.793686726
-2.459215353
-2.232027877
-0.660210120
-1.839296762
-0.441695367
-1.603311770
-0.847541126
1.458721204
2.353931747
-1.472806298
2.148492417
-1.858032858
-0.828090095
-3.876078892
0.359766959
0.011486543
1.839719604
-4.648365368
-3.632539598
2.155996972
-1.368016841
0.344042913
-0.060634678
-3.057096580
-0.046579974
0.547763154
-4.046579974
-1.279003406
-5.583320343
1.639073703
2.445820321
-0.897967590
1.192943115
-5.040769635
1.250294698
0.060029903
-5.853351465
-2.462894003
-2.052415187
2.762575795
0.162323227
2.785467235
-0.987457326
6.219825886
2.424811984
2.567667418
-1.547916108
1.105648770
0.910098273
-0.978021725
-2.441720241
-0.485620018
1.176591298
0.057519421
-1.530070717
-0.748537134
-0.170082066
0.018465050
-1.459190479
-3.159064286
0.168396680
-1.551770527
1.191814169
1.777247745
2.889566631
-0.828328336
1.012012592
-1.469731958
0.108747984
1.968618023
-0.485143324
-2.019624388
-3.004952438
1.733897477
0.154868025
0.910123147
0.037201146
-3.271358299
-1.932904426
1.127484080
2.024275389
0.103351656
1.199318724
1.008387330
0.207012167
0.628557098
-0.602143603
1.382658400
1.248425942
-3.790164671
-2.200049703
-3.175265026
-0.143866288
0.152483747
2.202330774
-6.630242484
-1.415454716
-3.483322904
-4.832318255
0.191814169
1.935398865
-0.870933741
-2.377365278
0.494977286
0.111571146
-0.006358847
3.800499808
-6.147832745
-6.147832745
-0.257829644
-3.662960467
0.534974308
-1.730515974
-5.454747328
2.639073703
3.197649382
1.577040729
-2.478806937
-0.536158519
1.080912036
0.092835051
-1.660663353
-4.018934326
-2.796087047
-0.704086436
-0.720024242
0.060506598
2.205843999
-2.440717498
-0.805387542
-4.885441677
-3.054109403
-1.316500471
-1.850504841
-0.449413683
-2.016875453
-1.993219723
-2.844529076
-0.551882565
3.023585327
-6.385638157
1.323925282
0.958816354
2.013758784
-2.634310664
-4.051286241
3.168922729
-0.190701265
-2.048274191
0.713443703
-5.891276890
1.328105107
-1.399566656
-1.452236846
-0.518551369
1.280715567
-1.024403470
1.512973573
-2.269752658
2.640655882
3.832215048
2.013758784
-1.852110482
0.160011764
2.535388319
-0.674167134
-4.240247368
1.387865841
1.778989903
-0.941678479
-2.577597168
2.182426510
1.617928456
-0.252647076
-0.167809825
-0.893135120
-4.550188349
-1.288463880
1.217528772
2.147777481
2.747352924
2.139670028
-1.898945459
2.024275389
2.088128784
-1.800078378
-4.602143603
-2.648477405
-0.788471866
0.090927467
-2.144367463
2.835728273
0.052399144
-0.073988793
0.013758784
2.982121805
-1.854018066
1.303393246
-0.058790796
0.249053714
0.946416645
0.258942547
1.261954597
0.557564824
-1.469293074
-1.469293074
-1.992216980
-0.223920423
-2.337620845
-9.497981917
2.334027483
0.600433344
-4.778958003
0.059903699
-0.844529076
-1.188316987
-2.642165498
-4.766772056
1.445820321
-0.572915775
0.612532127
-1.494443819
0.108033048
0.078614922
2.108723110
-0.137316140
-0.539696617
-2.077000843
-1.235151964
1.938197154
1.938197154
1.938197154
1.341005990
-2.753243401
4.435303716
1.030110602
-6.195883833
-5.134352426
1.000717349
3.319997653
-0.200618613
-1.900326995
-3.701263273
2.317588501
-0.416005638
0.490271020
0.359216038
-3.876054018
-4.845384564
-1.161974613
0.103326782
0.490271020
-2.088184049
-1.885128997
-3.049568562
2.342636504
0.490271020
1.804203331
0.176591298
1.869749531
1.240946260
-3.806969721
4.559861938
4.810013670
0.024275389
1.747503863
4.897046312
2.318303437
2.187107903
3.148492417
-4.660701301
1.563487200
-1.119154428
-1.465852665
0.816992177
-1.308995916
0.317009065
1.153850797
-2.130576224
-1.811158979
0.979109755
-1.034170271
-0.441720241
1.979109755
2.445820321
1.153850797
-1.032989029
-1.503227168
-0.737845109
1.464556417
0.761558567
-3.055967633
2.915368397
1.089520708
-0.663675403
2.331643205
1.874544053
-1.192998380
-0.411941492
0.990341296
0.028956782
1.341720926
0.693690379
-0.072294577
-0.831189309
-1.369885596
0.427761213
-2.201743919
0.557813452
0.083924086
-0.239682417
0.221041997
2.034077059
-2.552836091
0.668968131
-0.239833357
-1.879557249
2.749650038
0.125751916
3.518920823
0.189931065
2.212822506
1.395559283
1.543632683
-1.040769635
1.314825080
1.300006225
2.090425899
-0.157092926
-0.224635359
2.253735106
1.774459450
0.950571990
2.631380261
-2.808890379
1.188812507
0.387199240
2.899027105
-0.450683182
2.659391978
3.137260876
2.351522595
3.059903699
2.527883764
2.923714092
2.947131581
2.178888412
-1.389050051
-1.651240826
1.261954597
2.352237531
2.351522595
1.482815681
-2.750269298
-3.300387244
-1.017352147
2.670598645
-0.929930324
1.178650171
-1.226932473
0.277678643
0.510150410
0.707496454
2.031253896
2.318303437
1.705876327
2.241472309
0.530945030
1.587581676
-1.055704656
-0.462051590
-1.125455947
2.908365017
2.117381485
4.772541478
-2.187163167
-0.420160982
-1.076849904
-0.234437029
3.630829339
3.599364139
-1.314003063
1.956933250
2.809298735
3.184008689
0.998560787
3.803463522
3.078113747
-0.190939856
3.356943797
-0.702290889
1.490383057
1.748029911
-0.091722147
0.246066537
0.749650038
2.061144683
1.292575760
-2.992051555
-0.737343541
0.482718129
3.380649092
-0.617341600
-0.541253922
1.964023795
1.991569205
0.675830960
1.023560454
2.448906461
0.571882504
0.757417570
0.758045342
0.419390782
0.567526866
1.563512073
-0.334208951
-0.384368659
-0.009658704
0.832716223
5.089871336
1.450526587
2.333035128
0.203508937
-0.466732982
-2.608946690
0.777924732
-1.214570713
0.643263916
3.165384630
2.744529761
-0.532003174
-1.290760995
2.168396680
-1.588113773
-2.006597438
-0.703911016
0.823367786
1.377237198
3.310760934
1.775476678
2.969859007

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 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 time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308932&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=308932&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308932&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	0 seconds
R Server	Big Analytics Cloud Computing Center

Hypothesis Test about the Mean - Confidence Interval
Sample size	446
Sample standard deviation	2.23754503607188
Confidence	0.95
Null hypothesis	0
Sample Mean	8.3889013453031e-07
2-sided Confidence Interval	[ -0.208225299984079 , 0.208226977764348 ]
Left-sided Confidence Interval	[ -0.174636323096215 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.174638000876484 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 446 \tabularnewline
Sample standard deviation & 2.23754503607188 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 8.3889013453031e-07 \tabularnewline
2-sided Confidence Interval & [ -0.208225299984079 , 0.208226977764348 ] \tabularnewline
Left-sided Confidence Interval & [ -0.174636323096215 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.174638000876484 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308932&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]446[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]2.23754503607188[/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]8.3889013453031e-07[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.208225299984079 , 0.208226977764348 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.174636323096215 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.174638000876484 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308932&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308932&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	446
Sample standard deviation	2.23754503607188
Confidence	0.95
Null hypothesis	0
Sample Mean	8.3889013453031e-07
2-sided Confidence Interval	[ -0.208225299984079 , 0.208226977764348 ]
Left-sided Confidence Interval	[ -0.174636323096215 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.174638000876484 ]

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = TRUE ;

Parameters (R input):

par1 = 0.95 ; par2 = 0 ;

R code (references can be found in the software module):

par2 <- '50'
par1 <- '0.95'
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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code