Two metal alloys, Gamma and Zeta are being considered as material for ball bearings. A skeptical engineer believes that that that Zeta cannot have a melting point larger than Gamma. 15 pieces of each metal are being tested and the mean melting point of the two alloys is to be compared. Both populations have normal distributions. Alloy Gamma has a sample mean melting temperatures 800F and sample standard deviation of 95F , and Alloy Zeta has a sample mean melting temperatures 900 \"F and sample standard deviation of 105F. A. State the null and alternative hypotheses. [1pt] B. What is the to value ? [llpts] C. At the 1% signicance level, what is your conclusion? [3pt]