Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 8 - Section 8.1 - Assess Your Understanding - Applying the Concepts - Page 411: 19c

Answer

0.0465

Work Step by Step

To calculate $P(x̄ \leq 260)$, we need to find the z-score: $z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$ $= \frac{260-266}{3.578}$ = -1.68 $P(z \leq -1.68 ) = 0.0465$, hence: $P(x̄ \leq 260) = 0.0465$
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