Consumer reports tested 14 brands of vanilla yogurt and found the

     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.