You have just invented a hamster food that you think can make hamsters live longer. If you are right you can become an instant millionaire, but if you are wrong you will be sued for false advertising. A random sample of 100 hamsters fed your food had an average life of 3.7 years with a standard deviation of 0.6 years, while a random sample of 100 hamsters fed a typical diet had an average life of 3.1 years with a standard deviation of 0.4 years. You need to determine whether you should promote your product. Which statistical tests are appropriate for this problem