Problem I. (60 points) Steel is heat-treated by heating above the critical temperature, soaking, and then air cooling. This process increases the strength of the steel, refines the grain, and homogenizes the structure. The Heat Treated Alloys goal of the experiment is to determine the effect of temperature on the strength of heat-treated steel for three different alloys (Al, A2, A3). There are four temperatures of interest 1500, 1600, 1700, 1800"F. The experiment is performed by heating the oven to a temperature randomly selected from 1500, 1600, 1700, 1800'F and then The GLM Procedure inserting a randomly selected specimen from one of three steel alloys. The specimen is removed, a new temperature and specimen are randomly selected, and the process is repeated until four specimens of each alloy have been Dependent Variable: S treated at each of the four temperatures for a total of 48 treated specimens. The strength (MPa) of the 48 individual specimens are determined after proper cooling. The results are given in the following table: STRENGTH(MPA) ALLOY TEMP(OF) Al A2 A3 Class Level Information 1500 3.5, 2.5, 3.0, 4.5 2.5, 4.5, 5.5, 5.0 3.0, 3.0, 2.5, 3.0 Class | Levels Values 1600 5.0, 4.5, 5.0, 4.5 5.5, 6.0, 5.0, 5.0 5.5, 4.5, 6.5, 5.5 1700 6.0, 5.5, 3.5, 7.0 6.0, 8.5, 4.5, 7.5 6.5, 6.5, 8.5, 7.5 4 1500 1600 1700 1800 1800 7.0, 9.0, 8.5, 8.5 6.0, 7.0, 7.0, 7.0 11.0, 7.0, 9.0, 8.0 Al A2 A3 Profile Plot of Temperature*Alloy ALLOY - A1 Sum of $ ALLOY - A2 ALLOY - A3 Source DF Squares Mean Square F Value | Pr > F Model 11 145.2656250 13.2059659 11.68 F T 3 124.3489583 $1.4496528 36.67 <.0001 i a temperature use the above plot data and sas output to answer following questions. do three alloys differ with respect their mean strengths after heat-treating o=".05" in justifying your>