As a school nutritionist, you are responsible for tracking the lunch eating habits of children enrolled at your school. You are interested in tracking whether or not children are getting too much sugar in their diet.

The American Heart Association recommends teenagers consume less than 8 teaspoons per day of sugar. Assume the average teenager in your school consumes 11 teaspoons of sugar (1/3 the national average), with a SD of 5 teaspoons.

1.Calculate the mean of the sampling distribution for average sugar consumed

2.Calculate the standard error of the mean of that sampling distribution (for samples of 30)

3.Calculate the Z-score associated with 8 teaspoons of sugar in your sampling distribution

4.For samples of 30 teenagers per class, what is the probability a class average for sugar consumption will exceed the recommended 8 teaspoons? (Write a decimal, not percentage)