Question: Prescott County’s rural lifestyle is something its citizens are very proud of. One of the larger suppliers, the Prescott Agricultural Feed and Tractor Supply Company is determined that the weight of its bales of hay is normally distributed around the mean of 80 pounds with a standard deviation of 8 pounds. Based on a sample size of 64, what is the probability that the mean weight of the bales will fall between 78 and 82 pounds? Again, develop the null and research hypothesis and show your work.