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The table below shows gas prices for 10 randomly selected gas stations in Durham, NC. The...

  1. The table below shows gas prices for 10 randomly selected gas stations in Durham, NC. The first column is the price of regular unleaded gasoline on October 25. The second column is the price of regular unleaded gasoline on November

Station

Oct. 25 Price

Nov. 1 Price

1

2.05

2.18

2

2.14

2.17

3

2.07

2.18

4

2.07

2.18

5

2.17

2.19

6

1.98

1.99

7

2.09

2.18

8

1.89

2.06

9

1.93

2.06

10

1.98

2.15

Assume that gas prices are normally distributed. Using a 0.01 level of significance, test the claim that the price on November 1 is higher than the price on October 25. Show all your work including the original claim, hypotheses, test statistic, a sketch of the sampling distribution and the -value. State your decision and interpret it in the context of the original claim.

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