Problem 1U5e the following information to answer questions 1 to 8: The qualityrcontrol manager of a certain brand of applejuice wishes to verify that the mean amount otjuice in each bottle ls 64.05 ounces so that he can be sure that the machine ls not over or under lling. He randomly samples 25 bottles ofjuice and obtains the mean of the sample to be 64.03 ounces and its standard deviation to be 0.045 ounces.Assume that the population is normally distributed. Question 1 2 ; Part a: What are the appropriate hypotheses for a test to determine whether the sample data support the mnduslon that the mean amount ofluke is different than what it is supposed to be? 7 HU :6 : 64.05 H,, .0 e 64.05 -: HU :# > 64.05 H\" . 0 64.05 Question 2 2 I Part b: The correct distribution to be used is the z'dls'ribt'm\" " because the standard CleVlle'lO is unknown. Question 3 1 ; Part c: This Is a \"Wild\" " test