A mаnufаcturer mаkes bags оf pоpcоrn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.06 ounces with a standard deviation of 0.03 ounces. The average weight of a bag of potato chips is supposed to be 5.07 ounces with a standard deviation of 0.04 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it weighs 3.02 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it weighs 5.02 ounces. a. Calculate the z-score for the given sample from each assembly line. (2 pts) b. Which of the samples is closer to the standard? (1 pt) c. How do you know that sample is closer to the standard? (1 pt)