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HW1-P3A
Failure of 22 Ball Bearings
Time of Failure
(Cycles)
Bearing #
17880000
28920000
33000000
41520000
42120000
45600000
48480000
51840000
51960000
54120000
55560000
67800000
68640000
68880000
84120000
93120000
98640000
105120000
105840000
127920000
128040000
173400000
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
Descriptive Statistics: C1
Variable
C1
N
22
Mean
72387273
Median
61680000
TrMean
70062000
Variable
C1
Minimum
17880000
Maximum
173400000
Q1
44730000
Q3
100260000
StDev
38362570
SE Mean
8178927
Four-way Probability Plot for C1
ML Estimates - Complete Data
Lognormal base e
99
95
90
80
70
60
50
40
30
Percent
Percent
Weibull
20
10
5
99
Anderson-Darling (adj)
95
Weibull
0.815
80
70
60
50
40
30
20
Lognormal base e
0.675
Exponential
3.114
10
3
2
5
1
Normal
1
10000000
1.00E+08
1.092
10000000
Exponential
1.00E+08
Normal
99
99
98
95
97
Percent
Percent
95
90
80
70
60
50
80
70
60
50
40
30
20
10
5
30
10
1
0
1.00E+08
2.00E+08
3.00E+08
0
1.00E+08
2.00E+08
Overview Plot for C1
Probability Density Function
ML Estimates - Complete Data
Lognormal base e Probability
99
Location 17.962
Scale
0.5331
95
90
MTTF
72892613
Failure
Censor
22
0
1.50E-08
Percent
1.00E-08
5.00E-09
80
70
60
50
40
30
20
Goodness of Fit
AD*
10
5
1
0.00E+00
0
1.00E+08
10000000
2.00E+08
Survival Function
1.00E+08
Hazard Function
1.0
0.9
0.8
2.00E-08
0.6
0.5
Rate
Probability
0.7
0.4
1.00E-08
0.3
0.2
0.1
0.0
0.00E+00
0
1.00E+08
2.00E+08
0
1.00E+08
2.00E+08
0.675
Overview Plot for C1
Probability Density Function
ML Estimates - Complete Data
Weibull Probability
Percent
1.00E-08
5.00E-09
99
95
90
80
70
60
50
40
30
50000000
1.00E+08
10000000
1.50E+08
1.00E+08
Hazard Function
1.0
5.00E-08
0.8
4.00E-08
0.6
3.00E-08
0.5
Rate
Probability
0.7
0.4
2.00E-08
0.3
0.2
1.00E-08
0.1
0.0
0.00E+00
0
50000000
1.00E+08
1.50E+08
72708166
Failure
Censor
22
0
AD*
Survival Function
0.9
MTTF
Goodness of Fit
10
1
0
2.0632
82079209
20
5
0.00E+00
Shape
Scale
0
50000000
1.00E+08
1.50E+08
0.815