Pooled fluid breakdown. Use the 30- and 35-kV samples in Table 4.1 and the results of Problem 7.1. Assume the true Weibull shape parameter ß is the same at both voltages.
(a) Using the two estimates of the extreme value scale parameter, calculate a pooled estimate of the common true value.
(b) Give the theoretical variance of this estimate in terms of the unknown true value δ
(c) Calculate the corresponding estimate of the common Weibull shape parameter.
(d) Calculate two-sided approximate 90% confidence limits for δ using the (Wilson-Hilferty) approximation.
(e) Calculate the corresponding limits for the common Weibull shape parameter.
