Use the following to answerquestions14-15:

On August 8, 2012, the national average price for a gallon of regular unleaded gasoline was $3.83. The prices for a random sample ofn= 10gas stations in the state of Illinois were recorded at that time. The mean price for the sampledgas stations was $3.975, with standard deviation $0.2728. A boxplot of the data is provided.

14.Is it reasonable to use thet-distribution to perform a test about theaverage gas price in

Illinois (on August 8, 2012)?True or False.

15.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.True orFalse.