A study was conducted with the objective of increasing muzzle velocity (in feet/second) of mortar-like antipersonnel weapon with grenade-type golf-ball-size ammunition. Three factors were considered in a three-way layout experiment (with two replicates): A(addition or not of an O-ring, which was thought to reduce propellant gas escape in the muzzle and increase muzzle velocity),B(discharge hole area in inches, which might affect the pressure pulse of the propellant gases), and C(vent hole volume in cubic inches). The response is muzzle velocity. The data (King, 1992) are given in Table 3.51. Analyze the data by using the methods you have learned in the chapter

36. A study was conducted with the objective of increasing muzale velocity (in feet/second) of mortar-like antipersonnel weapon with grenade-type golf-ball-size ammunition. Three factors were considered in a three-way layout experiment (with two replicates): A (addition or not of an O-ring, which was thought to reduce propellant gas escape in the muzzle and increase muzzle velocity), B (discharge hole area in inches, which might affect the pressure pulse of the propellant gases), and C (vent hole, volume in cubic inches). The response is muzzle velocity. The data (King, 1992) are given in Table 3.51. Analyze the data by using the methods you have learned in the chapter. (Hint: Because the levels of B and C are not evenly spaced, their linear. guadatic, and cubic effects can be modeled by using the x,x2, and x3 terms directly, where x denotes the onginal value of the level. By ignoring unequal pacinss, an aliemative is to use the orthogonal polynomials for four-level factors in Appendix G