The lifetime of a particular resistor follows an exponential distribution with parameter Î». The manufacturer claims the mean life of the resistor is 6 years. A distributor of the resistor is suing the manufacturer for excess warranty claims, saying that the mean life of the resistor is a mere 4 years. To resolve the issue, an accelerated test of the predicted lifetimes of 20 resistors is undertaken, yielding the following values:
(a) The judge calls you as an expert witness to determine the validity of the suit. What do you tell the judge?
(b) What value of Î» maximizes the probability for values reported from the experiment.
(c) Graph the log-likelihood function versus Î» values ranging from 0 to 0.5.