Use the Following to Answer the Questions Below

Essay

Use the following to answer the questions below:
On August 8, 2012, the national average price for a gallon of regular unleaded gasoline was $3.63. The prices for a random sample of gas stations in the state of Illinois were recorded at that time. The mean price for the sampled gas stations was $3.975, with standard deviation $0.2266. A boxplot of the data is provided.

-Test, at the 5% level, if there is evidence that the average gas price in Illinois (on August 8, 2012) was significantly higher than the national average. Include all of the details of the test.