Consumer Reports tested 14 brands of vanilla yogurt and found the following numbers of calories per serving ...

     2.   Consumer Reports tested 14 brands of vanilla yogurt and found the following   numbers of calories per serving: 160, 200, 220, 230, 120, 180, 140, 130, 170,   190, 80, 120, 100, 170.      a) Check the assumptions and   conditions for inference.   b) Create a 95% confidence   interval for the average calorie content of vanilla yogurt   c) A diet guide claims that   you will get 120 calories from a serving of vanilla yogurt. What does this   evidence indicate? Use your confident interval to test an appropriate   hypothesis and state your conclusion.