3. Dominique Ansel wants to buy a new oven for his bakery. Most of his bakes happen at 350 degrees Fahrenheit. He contacts Kitchen Aid and they told him that the temperature in their machines have a normal distribution with population variance of 4 degrees fahreheit (when set to 350 degrees fahreheit). To conrm if their ovens are good, Dominique buys 20 randomly selected machines and sets each of them at 350 degrees Fahrenheit and uses a thermometer to check the actual temperature. He observes an average temperature of 350.1 degrees Fahrenheit. (a) Conduct a hypothesis test at o: = 0.01 to test whether the population mean of the temperature is signicantly different from 350? (b) If the actual population mean of the temperature was 350.2, what is the probability that Dominique would have caught it using (a)