Answer
0.0049
Work Step by Step
Here n = 30
$σ_{x̄} = 21.25 / \sqrt 30 = 3.88$
To calculate P(x̄ > 95), we need to find the z-score:
$z = \frac{x̄ - μ}{σ}$
$= \frac{95-85}{3.88} = 2.58$
P(z > 2.58) = 0.0049, hence:
P(x̄ > 95) = 0.0049
Statistics: Informed Decisions Using Data (4th Edition)
by Sullivan III, Michael
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: 22c
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