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 5.04 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? Answer 1 Point Keypad Tables ,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. Next 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 018 Hawkes Learning MacBook Pro

Explanation / Answer

For popcorn , mean=3.05 and s=0.02, z is calculated as ( 3.03-3.05)/0.02 = -1
For potato chips mean = 5.04 and s=0.04 , z is calculated as (5.06-5.04)/0.04 =0.5
as absolute value of potato bag is smaller
hence third option is correct

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