2.) Of all Minnesota Class of 2018 students who took the ACT, 47% met the math benchmark. Of all the North Dakota Class of 2018 students who took the ACT, 39% met the math benchmark. Suppose 40 students of the Class of 2018 were sampled from each state.

a.) Is the sampling distribution p - p approximately normal?

b.) Calculate the mean and standard deviation of the sampling distribution. Show calculations.

c.) Draw the distribution. Include p - p and z axes.

d.) Calculate the probability that the sample proportion of Minnesota students who met the math benchmark is greater than the sample proportion of North Dakota students who met the math benchmark. Include a z-score calculation and a technology statement.