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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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.
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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