Solution: Step 1: Draw a figure and represent the area. Step 2: Find the z value. Step 3: Answer the question. 5. Suppose the Production Operation Manager at the canning plant for evaporated milk is faced with a problem. Because of the designed machine, it generated a standard deviation of 7 ml in the filling of evaporated milk, but the average ml per fill can be adjusted. Under fear of revocation of license to operate and penalty charges by the Department of Trade and Industry (DTI), the management of the company has ordered the manager to set the filling machine so that there is a maximum 10% chance of a 370 ml can content less than 356 ml. What should the average be? Solution: Step 1: Draw a figure and represent the area. Step 2: Find the z value. Step 3: Answer the question. 6. The Emotional Quotient (EQ) score on the latest version of Sirug EQ Test is transformed so as to follow a normal distribution with a mean of 110 and standard deviation of 15. Find the 96th percentile of the distribution of Emotional Quotient. Solution: Step 1: Draw a figure and represent the area. College of Arts and Sciences Department of Natural Sciences and Mathematics Prepared by: Ma. Jennifer E. Matias