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 0.04 ounces. The average weight of a bag of potato chips is supposed to be 5.01 ounces with an allowable deviation of 0.05 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 5.07 ounces. Which description closely matches the findings on the assembly line? Answer 4 Points Keypad 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. 0 oThe 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 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

For popcorn , mean=3.05 and s=0.04, z is calculated as ( 3.03-3.05)/0.04 = -0.5

For potato chips mean = 5.01 and s=0.05 , z is calculated as (5.07-5.01)/0.05 =1.2

Thus, correct answer is A

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