An energy company, pursuing the making of green gasoline, starts with biomass in the form of sucrose and converts it into gasoline using catalytic reactions. At one step in a pilot point process, the output includes carbon chains of length 3. Fifteen runs with the same catalyst produces the product volumes (liter) 2.79, 2.88, 2.09, 2.32, 3.51, 3.31, 3.17, 3.62, 2.79, 3.94, 2.34, 3.62, 3.22, 2.80, 3.70
While mean product volume is the prime parameter, it is also important to control variation. Conduct a test with the intent of showing that the population standard deviation Ï is less than 0.8 litres (i.e. test H0 : Ï = Ï0 versus HA : Ï < Ï0, which is equivalent to testing H0 : Ï 2 = Ï 2 0 versus HA : Ï 2 < Ï2 0 )). Use a significance level of 0.05.