3. Consider the data from a one-way layout experiment. The response is the muzzle velocity (in feet per second) of mortar-like antipersonnel weapon. The quantitative factor is the discharge hole area [in square inches), which has four equally spaced levels (0.016, 0.030, 0.044, and 0.058) in the experiment. For each level, there are 16 replications. An inverse relationship between muzzle velocity and discharge hole area was expected because a smaller hole would increase the pressure pulse of the propellant gases. Analyze the data in two ways: (a) by treating it as a one-way layout and using an F test and multiple comparisons; (b) by using orthogonal polynomials to model the linear and quadratic effects. Note: the data is already input in the le muzzlem. The rst column is the level of the quantitative factor and the second column is the response. If you use R to answer this question, please make sure to attach your R code and R output