Answer
See below.
Work Step by Step
The sample mean is: $\overline{x}=\mu+ z\frac{\sigma}{\sqrt n}$, which here is: $0+1.645\frac{1}{\sqrt{10}}\approx0.5202$. Hence the null hypothesis is rejected if $\overline{x}\geq0.5202$
The Basic Practice of Statistics 7th Edition
by Moore, David S.; Notz, William I.; Fligner, Michael A.
Published by
W. H. Freeman
ISBN 10:
146414253X
ISBN 13:
978-1-46414-253-6
Chapter 18 - Inference in Practice - Chapter 18 Exercises - Page 437: 18.48b
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