Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 3 - Review - Review Exercises - Page 184: 5f

Answer

At a minimum, 75% of the bulbs will have a lifetime between 494 and 706 hours.

Work Step by Step

Put x̅ = 2 x̅ - 2s = 600 - 2 (53) = 494 x̅ + 2s = 600 + 2 (53) = 706 Using Chebyshev's inequality: $(1 - 1/2^{2})100\% = 75\%$
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