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In: Statistics and Probability

{Exercise 3.29 (Algorithmic)} The results of a national survey showed that on average, adults sleep 6.9...

{Exercise 3.29 (Algorithmic)}

The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1 hours.

Round your answers to the nearest whole number.

  1. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 4.9 and 8.9 hours.
    At least %
  2. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 3.9 and 9.9 hours.
    At least %
  3. Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 4.9 and 8.9 hours per day.
    %

    How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)?
    SelectThe empirical rule produces a larger percentage than Chebyshev's theoremChebyshev's theorem produces a larger percentage than the empirical ruleBoth methods produce the same percentage

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