2. This question uses the quantitative variable cost per gallon of gasoline in dollars and cents. (a). (10 points) Const

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2. This question uses the quantitative variable cost per gallon of gasoline in dollars and cents.
(a). (10 points) Construct an appropriate stem-and-leaf plot to graphically display this data.
(b). (10 points) Calculate the mean, median, range, standard deviation, and interquartile range for this sample of data.
(c). (10 points) Use the results of parts (a) and (b) to completely describe the distribution of the data.
(d). (10 points) The goal is to calculate a confidence interval for the mean cost of all gallons of gasoline purchased. List the two assumptions that must be satisfied in order for the confidence interval to be computed, and whether or not they are satisfied using the data collected.
(e). (15 points) Calculate and interpret a 95% confidence interval for the mean cost of all gallons of gasoline purchased. Complete the calculation and interpretation even if the assumptions are violated.
Gas Type R P R D R R M Cost per Gallon 4.08 4.85 3.89 5.19 4.15 4.19 4.49 4.03 4.78 5.03 4.06 3.79 4.82 4.42 R р D R R P M M R 4.51 4.03 4.89 D R 3.97 R P 4.16 4.68 4.57 D R R R 3.98 4.65 4.03 4.88 4.11 P R M 4.64 D 5.01 R 3.89 R 4.23 M 4.56 4.24 R