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

Your report should include the following sections:

1. Title page
2. Introduction and problem background (you must read the whole question before you can do this part)
3. Data description
   • Calculate the mean. Give an explanation as to what this means in relation to this problem.
   • Calculate the upper and lower limits of the box-plot. Give an explanation as to what this means in relation to this problem.
   • Construct the 95% confidence interval. Give an explanation as to what this means in relation to this problem.
4. Analyses
   • Describe the similarities and differences between the box plot and confidence interval calculated.
5. Interpretation of results and conclusion
   • Do the results from the sample validate AAA 's findings? Explain.