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: 30c

Answer

2.5% of SAT scores are higher than 743.

Work Step by Step

Using the Empirical rule, we have: x̅ - 2s = 515 - 2 (114) = 287 x̅ + 2s = 515 + 2 (114) = 743 Hence, 95% of SAT scores are between 287 and 743. This implies that 5/2 = 2.5% of SAT scores are higher than 743.
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