The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours % (c) 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 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)? The percentage obtained using the empirical rule is --Select-- the percentage obtained using Chebyshev's

Linear Algebra: A Modern Introduction
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Section4.6: Applications And The Perron-frobenius Theorem
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The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard
deviation is 1.6 hours.
(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.
%
(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.
%
(c) 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 3.1 and 9.5 hours per day.
%
How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)?
The percentage obtained using the empirical rule is ---Select--- ♥ the percentage obtained using Chebyshev's
theorem.
Transcribed Image Text:The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours. % (c) 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 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)? The percentage obtained using the empirical rule is ---Select--- ♥ the percentage obtained using Chebyshev's theorem.
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