Every time you fill your cars gas tank, consider the federal tax that is charged. That money

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Every time you fill your car’s gas tank, consider the federal tax that is charged.

That money goes for the repair of roads and bridges. Not all things are equal according to

“Alaska thanks you,” an article in the May 18, 2005, USA Today. For example, Alaska receives

$6.60 for every dollar paid in federal gas taxes, whereas Texas only gets $0.86 on the dollar. The following table outlines state gas-tax money by region.

Northeast Southeast Southwest North Central Rocky Mtn Pacific 2.17 1.69 1.12 2.28 2.22 6.60 1.83 1.02 0.88 2.17 1.46 2.23 1.6 1.02 0.88 1.07 1.40 1.01 1.41 0.98 0.86 1.05 1.08 0.99 1.21 0.95 1.03 1.07 0.91 1.17 0.91 1.01 0.93 1.08 0.90 0.97 1.00 0.89 0.96 0.95 0.88 0.92 0.95 0.86 0.90 0.87 0.86 0.89 0.89 0.88

a. Do these data show a significant difference in the mean amount of gas-tax money received by U.S. region? Use a 0.05 level of significance.

b. Do these data show a significant difference in the mean amount of gas-tax money received by U.S. region if you use a 0.10 level of significance

[F(5, 44, 0.10)  1.98]?

c. What effect did the change in the level of significance have on your decisions in parts a and b? What key step in the hypothesis test procedure does this emphasize?

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