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The service life of certain fan belts has been monitored and recorded, with times (in weeks) given in the following Table, ("F" means Failure, "S"...
The service life of certain fan belts has been monitored and recorded, with times (in weeks) given
in the following Table, ("F" means Failure, "S" means suspension).
Q.1. How many data points should be used in the Weibull analysis? Why? What is the size (n) of
data that should be used in Weibull analysis?
Q.2. What are the values of d and dα for a K-S goodness-of-fit test in the Weibull analysis? Will
you reject the hypothesis at a 10% significance level that the two-parameter Weibull distribution
determined by the package is a model of the data set?
Q3. Find μ and σ.
Q.4. What is the point estimate of t when F is 0.4? Determine the 90% confidence interval of t?
Q.5. Fit a two-parameter Weibull model to the data set using the ML-estimation method and LSestimation
method.
Q.6. What is the probability that the fan belt will fail before 300 weeks given it is currently 150
weeks old?
Table 2. Fan Belt Failure Data
204(F) 154(F) 136(F) 183(F) 190(F) 197(F) 142(F) 224(F) 211(F) 166(S)
