a major automobile company claims that its new electric powered car has an average range of more that 300 miles. a random sample of 40 new electric cars was selected to test the claim. assume that the population standard deviation is 12 miles. a 5% level of significance will be used for the test. a) what would be the consequences of making a type ii error in this problem? b) compute the probability of making a type ii error if the true population mean is 305 miles. c) what is the maximum probability of making a type i error in this problem?