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20 December, 07:53

A produce supplier ships boxes of produce to individual customers. The distribution of weights of shipped boxes is approximately normal with mean 36 pounds and standard deviation 4 pounds. Which expression represents the weight, in pounds, at the 75th percentile of the distribution?

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  1. 20 December, 09:13
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    36 + (4 * 0.67)

    Explanation:

    Data provided:

    Mean weight of the boxes = 36 pounds

    standard deviation of weight of boxed = 4 pounds

    75th percentile

    Now,

    From the percentile vs z-score table

    for 75th percentile, z-score = 0.67

    also,

    75th percentile distribution = Mean + (standard deviation * z-score)

    or

    75th percentile distribution = 36 + (4 * 0.67)
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