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[answered] A manufacturer of long life-cycle switches observes 15 swit


A manufacturer of long life-cycle switches observes 15 switches under test and records the number of switch activations to failure as presented?

Failure number Number of activations
1 ?50,000
2 ?51,000
3 ?60,000
4 ?72,000
5 ?80,000
6 ?85,000
7 ?89,000
8 ?94,000
9 ?97,000
10 ?99,000
11 ?110,000
12 ?115,000
13 ?116,000
14 ?117,000
15

?118,000

The + sign indicates censoring

  • Assuming that the activations to failure follow a lognormal distribution, determine the parameters of the distribution.
  • Determine the 95% confidence interval for the parameters of the distribution.
  • What are the variances of the parameters?
  • Suppose that the manufacturer ignores the censored activations and limits the analysis to the noncensored data only. Compare the mean lives when uncensored and censored data are included in the analysis.

A manufacturer of long life-cycle switches observes 15 switches under test and records the

 

number of switch activations to failure as presented below.

 

The + sign indicates censoring

 

a) b) Assuming...

 


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