It is well known that ZFC + "There is a measurable cardinal" is equiconsistent with ZFC + "There is a precipitous ideal on $\omega_1$." Is ZFC + "There is a measurable $\kappa$ such that $2^\kappa > \kappa^+$" equiconsistent with ZFC + "There is a precipitous ideal on $\omega_1$" + CH + $2^{\omega_1}>\omega_2$?