Question 5 Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped

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Question 5 Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)

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Khải Quang 2 days 2021-07-22T19:34:52+00:00 1 Answers 0 views 0

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    2021-07-22T19:36:37+00:00

    Answer:

    (6.2, 8.8)

    Step-by-step explanation:

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

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

    Approximately 95% of the measures are within 2 standard deviations of the mean.

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

    In this problem, we have that:

    Mean = 7.5 hours

    Standard deviation = 1.3 hours

    About 68% of adults:

    Within 1 standard deviation of the mean. So

    7.5 – 1.3 = 6.2 hours

    7.5 + 1.3 = 8.8 hours.

    So the answer is (6.2, 8.8).

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