Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 14 - Section 14.1 - Assess Your Understanding - Applying the Concepts - Page 689: 14e

Answer

$t_0\gt t_{\frac{α}{2}}$: null hypothesis is rejected. There is enough evidence to conclude that a linear relation exists between the length of the right humerus and the length of the right tibia.

Work Step by Step

$H_0: β_1=0$ versus $H_1: β\ne0$ $t_0=\frac{b_1}{s_{b_1}}=\frac{1.390}{0.150}=9.267$ $n=11$, so: $d.f.=n-2=9$ $t_{\frac{α}{2}}=t_{0.005}=3.250$ (According to Table VI, for d.f. = 9 and area in right tail = 0.005) Since $t_0\gt t_{\frac{α}{2}}$, we reject the null hypothesis.
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