Question: Consumer Reports tested 14 brands of vanilla yogurt and found the following number of calories per serving:

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 confidence interval to test an appropriate hypothesis and state your conclusion.
d) Perform a sign test the hypothesis that the median number of calories is 120. Does your conclusion agree with what you found in part c? Explain what a type 1 and type 2 error would be.