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You must show all the steps, as laid out in the lecture notes, for this question...

You must show all the steps, as laid out in the lecture notes, for this question in order to earn the points. You do not have to include your picture for this quiz. Number the steps as in the lecture notes. I expect you to use your calculator for this problem. Gasoline pumped from a supplier's pipeline is supposed to have an octane rating of 87.5. On thirteen consecutive days a sample was taken and analyzed with the following results. 88.6 86.4 87.2 88.4 87.2 87.6 86.8 86.1 87.4 87.3 86.4 86.6 87.1 Is there sufficient evidence to show that these octane readings were taken from gasoline with a mean octane rating less than 87.5? You may make any assumptions needed to perform the hypothesis test, but you must clearly state any such assumption you make is this independent?

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