A manufacturer makes bags of popcorn and bags of potato chips. The average weigh

Question

A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.05 ounces with an allowable deviation of 0.02 ounces. The average weight of a bag of potato chips is supposed to be 5.05 ounces with an allowable deviation of 0.03 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.02 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.02 ounces. Which description closely matches the findings on the assembly line? Tables Keypacd Answer 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. The popcorn bag assembly line is closer to the specifications given because its :-score is further from the standard mean than the potato chip bag assembly line. 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. 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

Explanation / Answer

z score = (data value - mean)/standard deviation

z score of popcorn =(3.02 - 3.05)/0.02 = -1.5

z score of potato chips = (5.02 - 5.05)/0.03 = -1

potato chips has lower z score

Ans: 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 (option 3)

An z-score transforms a data value into the number of standard deviations that value is from the mean

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