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Carbon Dioxide and other greenhouse gases are released in the atmosphere when fossil fuels are burned. As a result, heat gets trapped in the atmosphere which contributes to global warming and climate change. The total amount of CO2 emissions from fuel combustion (in Million Metric Tons) in Washington from 2013 to 2018 are as follows: (source: https:/ /www.epa.gov/ statelocalenergy/ state-co2-emissions- fossil-fuel-combustion-1990-2018) 76.29 74.98 77.86 82.55 82.60 82.08 a. Calculate the average amount of CO2 emissions from fuel combustion. b. Calculate the value of the quartiles (Q1, Q2, and Q3) of the data set. c. What value corresponds to the 72nd percentile? d. Complete the table below to calculate the standard deviation of the data set. Xi Xi - x (xi - x) 2 76.29 74.98 77.86 82.55 82.60 82.08 [ ( - 8 ) 2 = e. Calculate the standard deviation of the data set. f. The highest observation in the data set is 82.60. Calculate the z-score for this observation. g. Assuming the distribution of the amount of CO2 emissions from fuel combustion is normally distributed, calculate the interval where 95% of the observations will fall (Hint: Use Empirical Rule)