Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 10 - Section 10.4 - Assess Your Understanding - Applying the Concepts - Page 512: 9

Answer

$X_0^2\lt X_{1-α}^2$: null hypothesis is rejected. There is enough evidence to conclude that the fund has moderate risk.

Work Step by Step

$H_0=~σ=0.04$ versus $H_1:~σ\lt0.04$ $X_0^2=\frac{(n-1)s^2}{σ_0^2}=\frac{(25-1)0.0301^2}{0.04^2}=13.590$ Left-tailed test: $n=25$ $d.f.=n-1=24$ $X_{1-α}^2=X_{0.95}^2=13.848$ Since $X_0^2\lt X_{1-α}^2$, we reject the null hypothesis.
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