A nutrition expert claims that the average American is overweight. To test his claim, a random sample of 20 Americans was selected, and the difference between each person's actual weight and idea weight was calculated. For this data, we have and . Is there sufficient evidence to conclude that the expert's claim is true? Carry out a hypothesis test at a 2% significance level.

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form is expressed (-infty, a), an answer of the form is expressed (b, infty), and an answer of the form is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:





In order to get credit for this problem all answers must be correct.