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.
- Use Chebyshev's theorem to
calculate the percentage of individuals who sleep between 4.9 and
8.9 hours.
At least %
- Use Chebyshev's theorem to
calculate the percentage of individuals who sleep between 3.9 and
9.9 hours.
At least %
- 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