Aclean air standard requires that vehicle exhaust emissions not exceed specified limits for various pollutants. many states require that cars be tested annually to be sure they meet these standards. state regulators are checking up on repair shops to see if they are certifying cars that do not meet pollution standards; this can be described as the hypothesis test h0: repair shops are certifying only cars that meet standards ha: repair shops are certifying cars that do not meet standards. question 1. in this context, what is meant by the power of the test the regulators are conducting? the power of the test is the probability of detecting a shop that is certifying cars that do not meet standards. the power of the test is the probability of detecting a car that meets standards. the power of the test is the probability of detecting a shop that is certifying only cars that do meet standards. the power of the test is the probability of detecting a car that does not meet standards. question 2. will the power be greater if they test 20 cars or 40 cars? testing 40 cars will result in a greater? power, because n is larger. the number of cars tested will not affect the power of the test. testing 20 cars will result in a greater? power, because n is smaller. question 3. will the power be greater if they use ? ? = .05 or ? = .10? the power will be greater for ? = .10 because there is a greater chance of rejecting h0.the power will be greater for ? = .05 because there is a less chance of rejecting h0.the power will be greater for ? = .05 because there is a greater chance of rejecting h0.the power will be greater for ? = .10 because there is a less chance of rejecting h0.question 4. will the power be greater if the repair? shop's inspectors are only a little out of compliance or a? lot? the power will be greater if the repair? shop's inspectors are only a little out of compliance because smaller differences are more significant. the power will be greater if the repair? shop's inspectors are out of compliance by a lot because larger differences are easier to detect. the power will be the same regardless of the level of compliance.