The method of X-ray fluorescence is an important analytical tool for determining the concentration of material in solid missile propellants. In the paper An X-ray Fluorescence Method for Analyzing Polybutadiene Acrylic Acid (PBAA) Propellants, Quarterly Report, RK-TR-62-1, Army Ordinance Missile Command (1962), it is postulated that the propellant mixing process and analysis time have an influence on the homogeneity of the material and hence on the accuracy of X ray intensity measurements. An experiment was conducted using 3 factors: A, the mixing conditions (4 levels); B, the analysis time (2 levels); and C, the method of loading propellant into sample holders (hot and room temperature). The following data, which represent the analysis in weight percent of ammonium perchlorate in a particular propellant, were recorded.(a) Perform an analysis of variance with a = 0.01 to test for significant main and interaction effects.(b) Discuss the influence of the three factors on the weight, percent of ammonium perchlorate. Let your discussion involve the role of any significantinteraction.

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Method of Loading, C Room Temp. Hot 2 1 38.62 37.20 38.02 37.67 39.82 39.15 39.78 39.53 38.45 38.64 38.75 37.81 39.82 40.26 39.72 39.56 39.25 39.04 37.57 37.75 39.76 39.90 37.85 3 37.51 37.74 37.58 37.91 37.21 39.34 37.42 39.60 37.79 39.74 39.49 39.45 39.62 37.60 37.52 37.15 40.09 39.36 39.63 39.67 37.55 39.38 39.00 37.91 37.51 2) 2.