AAA reported that the average price of regular gasoline is Pennsylvania during Memorial Day weekend in 2010 was $2.65 per gallon. The following data show the price per gallon of regular gasoline for 15 randomly selected stations in the state.

$2.73 $2.59 $2.74 $2.65 $2.71

$2.73 $2.51 $2.71 $2.61 $2.64

$2.58 $2.46 $2.64 $2.74 $2.58

Data description

• Calculate the mean - show your calculations. Give an explanation as to what this means in relation to this problem.
• Calculate the upper and lower limits of the box-plot to 4 decimal places - show your calculations Give an explanation as to what this means in relation to this problem.
• Construct the 95% confidence interval to 4 decimal places (make sure to include whether you used z or t) - show your calculations. Give an explanation as to what this means in relation to this problem.