Adult male Akitas weigh an average of 115 pounds with a standard deviation of 10.4 pounds. Adult male Boston Terriers weigh an average of 18

Question

Adult male Akitas weigh an average of 115 pounds with a standard deviation of 10.4 pounds. Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds. One dog lover owns an underweight Akita and an underweight Boston Terrier. The Akita weighs 97 pounds, and the Boston Terrier weighs 16 pounds. Use z-scores to determine which dog is more underweight?

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Dulcie 3 years 2021-08-06T12:24:09+00:00 1 Answers 29 views 0

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  1. King
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    2021-08-06T12:25:56+00:00
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    Answer:

    Adult Male Akitas

    Step-by-step explanation:

    The z-score formula =

    z = (x-μ)/σ,

    where x is the raw score

    μ is the population mean

    σ is the population standard deviation

    a)Adult male Akitas

    weigh an average of 115 pounds with a standard deviation of 10.4 pounds.

    Akita weighs 97 pounds

    z = (x-μ)/σ

    = 97 – 115/10.4

    -1.7307692308

    b) Boston Terrier

    Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds.

    Boston Terrier weighs 16 pounds.

    z = (x-μ)/σ

    z = 16 – 18.5/2.7

    = -0.9259259259

    From the above calculation,

    The Adult male Akitas is -1.7307692308 standard deviations. underweight

    The Boston terrier is -0.9259259259 standard deviations underweight.

    Therefore, the Adult male Akitas is more underweight.

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