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5 May, 09:57

A miniature American Eskimo dog has a mean weight of 15 pounds with a standard deviation of 2 pounds. Assuming the weights of miniature Eskimo dogs are normally distributed, what range of weights would 68% of the dogs have?

A.) Approximately 13-17 pounds

B.) Approximately 14-16 pounds

C.) Approximately 11-19 pounds

D.) Approximately 9-21 pounds

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Answers (2)
  1. 5 May, 10:12
    0
    Approximately 13-17 pounds ⇒ answer A

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - The Empirical Rule states that almost all data lies within 3

    standard deviations of the mean for a normal distribution.

    - 68% of the data falls within one standard deviation.

    - 95% of the data lies within two standard deviations.

    - 99.7% of the data lies Within three standard deviations

    - The empirical rule shows that

    # 68% falls within the first standard deviation (µ ± σ)

    # 95% within the first two standard deviations (µ ± 2σ)

    # 99.7% within the first three standard deviations (µ ± 3σ).

    * Lets solve the problem

    - A miniature American Eskimo dog has a mean weight of 15 pounds

    with a standard deviation of 2 pounds

    ∴ µ = 15 and σ = 2

    - The weights of miniature Eskimo dogs are normally distributed

    - We need to know the range of weights would 68% of the

    dogs have

    ∵ 68% falls within the first standard deviation (µ ± σ)

    ∵ 15 - 2 = 13

    ∵ 15 + 2 = 17

    ∴ The range is approximately 13-17 pounds
  2. 5 May, 10:22
    0
    the answer is A.
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