The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in x = 54.32. Assuming that the distribution of melting point is normal with = 1.20 (a) Test the hypothesis H0 : = 55 versus H : ≠ 55 using = 0.01 (b)If a level 0.01 test is used, what is (54), the probability of a type II error when = 54? (c) What value of is necessary to ensure that 54 = 0.1 when = 0.01