The question is as follows 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 Title page Introduction and problem background Data description Calculate the mean show your calculations Give an explanation as to what this means in relation to this problem Calculate the standard deviation show your calculations Give an explanation as to what this means in relation to this problem Provide an image of the box plot of the data Calculate the median show your calculations Give an explanation as to what this means in relation to this problem Calculate the first and third quartiles 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 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 Perform the appropriate hypothesis test Be sure to state your significance level, test statistic, and p value (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 Analyses Describe the skewness of the data Describe the similarities and differences between the box plot and confidence interval calculated State the conclusion of your hypothesis test Interpretation of results and conclusion Do your confidence interval and hypothesis test agree Explain Do the results from the sample validate AAA 's findings that the average price of gasoline was $ 2 65 per gallon Explain

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The question is as follows: AAA reported that the average price of regular gasoline is Pennsylvania during Memorial Day weekend in 2010 was $2.65 per

The question is as follows:

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:

Title page
Introduction and problem background
Data description
- Calculate the mean - show your calculations. Give an explanation as to what this means in relation to this problem.
- Calculate the standard deviation - show your calculations. Give an explanation as to what this means in relation to this problem.
- Provide an image of the box-plot of the data.
- Calculate the median - show your calculations. Give an explanation as to what this means in relation to this problem.
- Calculate the first and third quartiles - 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 - 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.
- Perform the appropriate hypothesis test. Be sure to state your significance level, test statistic, and p-value (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.
Analyses
- Describe the skewness of the data.
- Describe the similarities and differences between the box plot and confidence interval calculated.
- State the conclusion of your hypothesis test.
Interpretation of results and conclusion
- Do your confidence interval and hypothesis test agree? Explain.
- Do the results from the sample validate AAA 's findings that the average price of gasoline was $ 2.65 per gallon? Explain.