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24 March, 17:38

A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have?

Approximately 26-34 pounds

Approximately 24-36 pounds

Approximately 28-32 pounds

Approximately 29-31 pounds

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  1. 24 March, 21:03
    0
    Approximately 24-36 pounds

    Step-by-step explanation:

    Given:

    Weight of standard American Eskimo dog has mean = 30 pounds

    A standard deviation = 2 pounds

    For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.

    i. e. lower bound = Mean - 3 (standard deviation)

    = 30-3 (2)

    =30-6

    =24

    Upper bound = Mean + 3 (standard deviation)

    = 30+3 (2)

    =30+6

    =36

    Hence the range of weights : 24-36 pounds

    correct answer Approximately 24-36 pounds!
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