Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than teenage girls. A group of concerned parents examines a random sample of insurance bills. The...

Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was $679. For 23 teenage girls, it was $559. From past years, it is known that the population standard deviation for each group is $180. Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls. (Set 1 for boy and Set 2 for girl.) Find the p-value of 2-sample-z-test.