ou believe that your morning commute to UCLA is decreasing every week. You record the time of 7 commutes (one for each day of the week) (in minutes) for the a one-week block and then the following one-week block. * Calculations have been done for you: the sample mean difference is -1.714 and the sample standard deviation is 2.984. Conduct a hypothesis test at the α = 0.15 level. The mean difference calculated as the the first one-week block minus the second one-week block. That is to say week one minus week two. a. Compute the p-value for the test (use R). Round to the nearest 3rd decimal place, 0.xxx. b. Make and justify a statistical decision at the α= 0.15 significance level and state your conclu- sions in context of the problem

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Author:Amos Gilat
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You believe that your morning commute to UCLA is decreasing every week. You record the
time of 7 commutes (one for each day of the week) (in minutes) for the a one-week block and then
the following one-week block.

* Calculations have been done for you: the sample mean difference is -1.714 and the sample standard
deviation is 2.984. Conduct a hypothesis test at the α = 0.15 level. The mean difference calculated as the the first one-week block minus the second one-week block. That is to say week one minus week two.

a. Compute the p-value for the test (use R). Round to the nearest 3rd decimal place, 0.xxx.


b. Make and justify a statistical decision at the α= 0.15 significance level and state your conclu-
sions in context of the problem

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