Problem 3 (7 pts) A company that manufactures brackets for an automaker regularly selects brackets from the production line and performs a torque test. The goal is for mean torque to equal 125. Let X equal the torque and assume that X is N (a, 02). We shall use a sample of size n : 15 to test Ho : Iu: : 125 against a two-sided alternative hypothesis. a) What is the critical value given a : 0.05? (Hint: \\Vhat is your alternative? And What distribution should you use?) (2 pts) 1)) Use the following observations to calculate the value of the test statistic and perform a full analysis (5 pts): X