Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 10 - Section 10.3 - Assess Your Understanding - Applying the Concepts - Page 505: 31b

Answer

There is enough evidence that the mean SAT math score increases for students of the review course.

Work Step by Step

Here we have: $H_{o}$: μ =515, $H_{1}: μ > 515$, n = 1800, x̅ = 519, s = 111 and α = 0.05 Using the Classical approach: Using Table VI, we have: t = 1.282 $σ_{ x̅} = \frac{s}{\sqrt n} = \frac{111}{\sqrt 1800} = 2.616$ $t = \frac{519 - 515}{2.616} = 1.529$ Since, 1.529 > 1.282, we reject the Null hypothesis.
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