State appropriate null and alternative hypotheses for the test. Determine the rejection region for the test.
State appropriate null and alternative hypotheses for the test. Determine the rejection region for the test.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Transcribed Image Text:In the past, the time for Jeff's journey to work had mean 45.7 minutes and standard deviation
5.6 minutes. This year he is trying a new route. In order to test whether the new route has reduced
his journey time, Jeff finds the mean time for a random sample of 30 journeys using the new route.
He camies out a hypothesis test at the 2.5% significance level.
Jeff assumes that, for the new route, the joumey time has a nomal distribution with standard
deviation 5.6 minutes.
(a) State appropriate null and alternative hypotheses for the test.
(b) Determine the rejection region for the test.
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