A manufacturer makes bags of popcorn and bags of potato chips. the average weight of a bag of popcorn is supposed to be 3.02 ounces with an allowable deviation of 0.02 ounces. the average weight of a bag of potato chips is supposed to be 5.03 ounces with an allowable deviation of 0.04 ounces. a factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.03 ounces. then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.06 ounces. which description closely matches the findings on the assembly line?
If these were the given choices: A. The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato chip bag assembly line. B. The popcorn bag assembly line is closer to the specifications given because its z-score is further from the standard mean than the potato chip bag assembly line. C. The potato chip bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the popcorn bag assembly line. D. The potato chip bag assembly line is closer to the specifications given because its z-score is further from the standard mean than the popcorn bag assembly line.
My answer is: A. The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato chip bag assembly line.
Given: Ave.weight of a bag of popcorn - 3.02 oz allowable deviation - 0.02 oz
Ave. weight of a bag of potato chips - 5.03 oz allowable deviation - 0.04 oz
Actual weight of bag of popcorn - 3.03 oz Actual weight of bag of potato chips - 5.06 oz
The allowable deviation is very minimal in a bag of popcorn thus its z-score is nearer to the standard mean as compared to the bag of potato chips.
The potato chip bag assembly line is closer to the specifications given because its z-score is closer to the standard than the popcorn bag assembly line.
