FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationSun, 18 Jan 2015 13:05:32 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Jan/18/t1421586338e3281sf96s9l0yr.htm/, Retrieved Tue, 14 May 2024 03:04:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=274183, Retrieved Tue, 14 May 2024 03:04:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact54

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] [] [2015-01-18 13:05:32] [0a6fc2c777821367d2239c664b701a36] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-7.34659
-3.83393
0.601079
10.1708
-19.384
76.9922
5.5307
-40.6643
7.89237
17.2903
12.6761
19.6465
-22.8607
24.2146
-102.787
-22.1468
19.5158
-27.5133
32.8225
-23.6236
9.83643
4.60699
70.5428
50.2208
-0.610172
109.513
38.3844
-17.1329
9.89147
8.93507
-50.6089
6.24831
-15.4578
17.4048
-39.2381
-41.6349
5.69034
31.4039
20.6034
4.54633
-32.8318
5.29772
18.8812
21.0418
-34.8082
32.3313
-31.5422
-6.96524
-51.1887
-19.621
16.3293
-54.3249
11.0791
51.4231
-17.4376
-28.8304
23.0113
-6.31347
-53.8408
-12.2495
13.1904
8.39642
-42.7811
59.8085
36.2483
-29.8633
38.3825
76.0114
45.9664
-1.17613
21.4147
-26.7206
-36.2753
-1.78602
-12.253
2.56265
1.16142
9.31058
-27.9482
-35.9069
-16.4696
7.28922
-19.3588
1.19328
22.2468
0.588097
-19.1513
-32.8384
-19.9199
28.5582
-27.2895
20.3171
39.2813
-9.7313
-0.942376
9.60549
18.1714
-4.9384
-7.56233
12.84
-30.4868
-3.639
-17.8985
30.4074
-5.72721
-9.3317
-5.54115
-14.7961
-55.8251
-7.45031
7.46339
3.41547
-77.9853
-70.9246
25.0086
29.244
10.2707
-13.374
60.4465
27.8033
28.7837
-65.8301
18.4629
-89.4987
-19.6233
-11.2502
9.82813
-20.7817
40.6665
-28.5946
-10.6826
26.0439
-9.82614
-7.37667
-50.715
-40.8176
-1.70087
-99.8017
14.1375
-11.3701
-11.5852
43.864
32.0648
1.17527
15.5922
5.30727
0.309518
-25.6243
0.855347
45.826
34.6051
-22.2974
25.725
38.2554
-20.4191
5.13599
36.9151
-22.4416
17.9049
-14.7084
20.6995
4.38463
35.8517
-124.977
64.3234
-31.3808
22.9819
9.22512
7.16268
-6.14016
10.5282
19.031
40.8665
38.6731
38.6731
28.9975
-6.40377
23.1366
56.324
-81.4623
-6.58429
26.0776
19.8611
5.20928
57.0213
9.45682
7.45682
12.4568
16.3065
-34.724
-27.9697
33.4926
-10.2839
22.2461
-13.1051
-18.4536
9.35706
3.31778
-9.62075
18.7282
89.7837
-23.6847
13.0052
21.7361
-3.67581
-28.9609
-76.9933
-32.6912
49.3754
17.3415
-49.6868
25.4617
-21.8287
-12.7843
14.6583
-21.7871
9.07381
48.8847
-33.9381
10.7993
13.2289
-33.8785
-23.4321
7.38082
39.5195
-41.808
9.4401
1.73577
-11.3687
14.4103
36.7927
11.4415
3.58295
42.2508
-29.7848
-79.3484
-47.2454
22.0011
-55.9352
-1.49485
-25.0235
-28.1147
15.2404
64.3234
-1.89631
29.7924
31.3961
-13.8095
-7.75536
10.6631
12.0411
-54.9164
5.60625
-11.4533
36.1205
14.2016
-21.5212
-47.5903
11.8037
25.0071
-31.3808
-9.64807
7.74461
15.2404
8.14127
-17.6636
-23.8619
22.1111
24.4277
-35.2637
25.4359
-11.1429
9.01713
12.6079
19.19
-22.1745
21.192
-67.4088

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 0 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=274183&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=274183&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=274183&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size278
Sample standard deviation32.7588447864617
Confidence0.95
Null hypothesis0
Sample Mean4.21942446046573e-06
2-sided Confidence Interval[ -3.86772400704482 , 3.86773244589374 ]
Left-sided Confidence Interval[ -3.24255809497036 , +inf ]
Right-sided Confidence Interval[ -inf, 3.24256653381928 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 278 \tabularnewline
Sample standard deviation & 32.7588447864617 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 4.21942446046573e-06 \tabularnewline
2-sided Confidence Interval & [ -3.86772400704482 , 3.86773244589374 ] \tabularnewline
Left-sided Confidence Interval & [ -3.24255809497036 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  3.24256653381928 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=274183&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]278[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]32.7588447864617[/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]4.21942446046573e-06[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -3.86772400704482 , 3.86773244589374 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -3.24255809497036 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  3.24256653381928 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=274183&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=274183&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 size278
Sample standard deviation32.7588447864617
Confidence0.95
Null hypothesis0
Sample Mean4.21942446046573e-06
2-sided Confidence Interval[ -3.86772400704482 , 3.86773244589374 ]
Left-sided Confidence Interval[ -3.24255809497036 , +inf ]
Right-sided Confidence Interval[ -inf, 3.24256653381928 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = additive ; par2 = 12 ;
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')