Newborn babies in the United States have a mean birth weight of 7.5 pounds and a standard deviation of 1.25 pounds. Assume the data possesse

Question

Newborn babies in the United States have a mean birth weight of 7.5 pounds and a standard deviation of 1.25 pounds. Assume the data possesses a bell-shaped distribution.

A. What are the upper and lower limits of the interval that contains 95% of all newborns in the United States?

B. Does a newborn with a birth weight of 4.5 pounds fall within an interval which contains 95% of all newborn birth weights. Why or why not?

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Amaya 3 weeks 2021-11-19T13:31:51+00:00 1 Answer 0 views 0

Answers ( )

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    2021-11-19T13:33:19+00:00

    Answer:

    A.

    Lower limit: 5 pounds

    Upper limit: 10 pounds

    B.

    4.5 is more than two standard deviations from the mean, so it does not fall within an interval which contains 95% of all newborn birth weights.

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 7.5

    Standard deviation = 1.25

    A. What are the upper and lower limits of the interval that contains 95% of all newborns in the United States?

    By the Empirical Rule, within 2 standard deviations of the mean.

    Lower limit: 7.5 – 2*1.25 = 5 pounds

    Upper limit: 7.5 + 2*1.25 = 10 pounds

    B. Does a newborn with a birth weight of 4.5 pounds fall within an interval which contains 95% of all newborn birth weights. Why or why not?

    4.5 is more than two standard deviations from the mean, so it does not fall within an interval which contains 95% of all newborn birth weights.

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45:7+7-4:2-5:5*4+35:2 =? ( )