The drying time for a certain type of paint under specified test conditions is known to be normally distributed with mean value 75 min and standard deviation σ= 9 min. chemists have proposed a new additive designed to decrease average drying time. it is believed that the drying times with this additive will remain normally distributed with σ= 9 min. because of the expense associated with the additive, evidence should strongly suggest an improvement in average drying time before such a conclusion is adopted. let mu denote the true average drying time when the additive is used. the appropriate hypotheses are h0: mu= 75 versus ha: mu< 75. consider the alternative value mu = 74, which in the context of the problem would presumably not be a practically significant departure from h0. for a level 0.01 test, compute beta at this alternative for sample sizes n = 64, 1024, and 2500. (round your answers to four decimal places.)n beta64 1024 2500