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 supported to be 5.03 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 5.07 ounces. Which description closely matches the findings on the assembly line? 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 z-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

Explanation / Answer

z score of pop corn bag =(3.02-3.05)/0.02=-1.5

and z score of potato bag=(5.07-5.03)/0.03=1.33

as absolute value of potato bag is smaller

hence third option is correct

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