Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 8 - Hypothesis Testing - Review - Chapter Quick Quiz: 2

Answer

a)two-tailed b)student t-distribution

Work Step by Step

a) The alternative hypothesis is: $\mu\ne0$. If the alternative hypothesis contains $\ne$ then the test is two-tailed. If the alternative hypothesis contains < then the test is left-tailed. If the alternative hypothesis contains > then the test is right-tailed. Hence it is two-tailed. b) Here we have a hypothesis test involving the mean but we do not know the standard deviation, hence the student t-distribution is used.
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