17. (16 points) The mean drying time of a certain type of paint is 75 minutes. The company claims that a new additive will decrease the drying time. To test if the new additive does indeed decrease the amount of time it takes the paint to dry, a chemist has sprayed the new paint on 50 random surfaces, and recorded X - 72 and o - 9. (a) (6 points) State the null and alternative hypotheses (3 points each) she should test: no other work nor justification is necessary. Ho should be: H, should be: (b) (6 points) Formulate the test statistic (3 points) and define your rejection region (3 points) using a level of significance of a = 0.05. (c) (4 points) What is your conclusion