Alarm clock. 12 alarm clocks yielded 11 failure times (in months), 30.5, 33, 33, 36, 42, 55, 55.5, 76, 76, 106, 106, and one survival time 107.5. Make a Weibull probability plot.
(a) Does the Weibull distribution adequately fit the data?
(b) Fit a line to the data and obtain estimates of the shape and scale parameters.
(c) Comment on the nature of the failure rate (increasing or decreasing with age).
(d) Estimate the median life. Is this estimate sensitive to the Weibull assumption?