9.A manufacturer of doorknobs has a production process that is designed to provide a doorknob with a target diameter of 2.5 inches. The process standard deviation is 0.035 inch. In an effort to reduce the variation in the process, the process was re-designed. A sample of 20 doorknobs produced under the new process indicates a sample standard deviation of 0.025 inch. At the 0.05 level of significance, is there sufficient evidence to conclude that the process variance has been reduced by the re-designed process?Exam 2:One-year sales volumes of four similar 20-oz. beverages on a college campus are shown below. Does this sample contradict the assumption that sales are the same for each beverage?BeverageSales (Cases)Frappuccino Coffee35Frappuccino Mocha55Frappuccino Vanilla40Frappuccino Caramel30Volunteers tasted Zyr, Grey Goose and Stolychnaya with the results shown below.Correct?ZyrGrey GooseStolychnayaYes 877No1621252.Is there a relationship between correctness and brand of vodka tested?