Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Section 3.2 - Assess Your Understanding - Applying the Concepts - Page 154: 35c

Answer

At least 75% of gasoline stations had prices between $2.94$ and $3.18$.

Work Step by Step

Put k = 2: x̅ - ks = 3.06 - 2 (0.06) = 2.94 x̅ + ks = 3.06 + 2 (0.06) = 3.18 Using Chebyshev's inequality for k =2: $(1−1/(2)^2)=75\%$ Thus, at least 75% of gasoline stations had prices between $2.94$ and $3.18$.
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