Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formula 1 is , and for formula 2 it is . Two random samples of size and are tested, and the mean octane numbers observed are fluid ounces and fluid ounces. Assume normality. Round your answers to three decimal places (e. g. 98.765). (a) Test the hypothesis that the formulations are equal versus the hypothesis that formulation 2 produces a higher mean road octane number than formulation 1. Calculate (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number. (Calculate using the following order: ) ( less-than-or-equal-to less-than-or-equal-to ) (c) Is there sufficient evidence to show that formulation 2 produces a higher mean road octane number than formulation 1