1. Complete the mini case below ( 26 marks): 1. 16 marks 2. 2 marks 3. 4 marks 4. 4 marks MINI-CASE Mini-Case Cereal Manufacturer The plant manager of a cereal manufacturer is wondering if the company could save some cereal by slightly lowering the cereal content of each box. Studying a major product, a 454 gram (net weight) ready-to-eat cereal, the manager discovers that four boxes are routinely taken from the filling machine every 10 minutes and weighed. Data for approximately 2.5 hours of inspection are shown below. Questions 1. Is the process in control? 2. Determine what weight the filler head is likely set to. 3. If the Weights and Measures Act dictates that the tolerance for weight of a product of approximately 454 grams is 2 grams, what is the probability that an inspector will find a legally defined underweight box (i.e., weighing less than 452 grams)? 4. Has the filler head been set too conservatively? Discuss. To access "Acceptance Sampling," the supplement to \i Chapter 10, please visit Connect. 2. Complete the question 5 below ( 16 marks) a. 4 marks b. 2 marks c. 2 marks d. 2 marks e. 2 marks f. 2 marks g. 2 marks 5. Using four samples of 200 credit card statements each, an auditor found the following number of erroneous statements in each sample: d a. Determine the proportion of defectives in each sample. b. If the true proportion of defectives for this process is unknown, what is your best estimate of it? c. What is your estimate of the mean and standard deviation of the sampling distribution of the sample proportion of defectives for samples of 200 ? d. What control limits would give an alpha risk of 0.03 for this process? e. What alpha risk would control limits of 0.047 and 0.003 provide? f. Using control limits of 0.047 and 0.003 , is the process in control? g. Suppose that the long-term proportion of defectives of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution