Problem 2 (20pts): A cereal manufacturer is concerned that the boxes of cereal not be under lled or overlled. Each box of cereal is supposed to contain 13 ounces of cereal. A random sample of 36 boxes is tested. The sample average weight is 12.58 ounces and the sample standard deviation is 0.75 ounces. Use the p-value approach to test whether the population average weight of cereal box differs from 13 ounces. (Please keep at least four decimal places)