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Shave die. Use the shave die data of Problem 4.1. Other events that stop the process are thought to occur at random and independently. If so, the times to when the process is stopped for other reasons have an exponential distribution.

(a) Calculate hazard (or probability) plotting positions for times to stopping production for other reasons, treating times to die wear out as censoring times.

(b) Plot the data on Weibull hazard (or probability) paper.

(c) Assess the validity of the data and a Weibull fit to the data

(d) Graphically estimate the Weibull shape parameter and assess whether the exponential distribution fits adequately

(e) Make a separate Weibull hazard plot of time to replacement from any cause (wear out or process stopped)

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