Answer
Yes.
Work Step by Step
The $95\%$ confidence interval: $30.7\pm3.2=(27.5,33.9)$.
Thus we can reject the null hypothesis of $\mu=34$ because it is not in the confidence interval and it is unlikely.
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 17 - Tests of Significance: The Basics - Chapter 17 Exercises - Page 414: 17.45b
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