A company is studying three different safety programs in an attempt to reduce the number of work-hours lost due to accidents. Each program is to be tried at three of the company's nine factories, and the plan is to monitor the lost work-hours, y, for a 1 year period beginning 6 months after the new safety program is instituted. The proposed model is E(Y) = Bo + Bx1 + Bx2 + B3x3 where y total work-hours lost due to accidents for a 1 year period beginning 6 months after the plan is instituted. x = total work-hours lost due to accidents during the year before the plan was instituted. x2 = = 1, if program B is in effect; and 0, otherwise. x3 = 1, if program C is in effect; and 0, otherwise. After the programs have been in effect for 18 months, the model is fit to the data. The following summary statistics are reported: RSS (X) = 3600, RSS(X|X) = 600, RSS(X3|X) = 1400, RSS(X, X2, X3) = 1000, and SYY = i1(yi y) = 4600. ) (a) Test whether the mean work-hours lost differ for the three programs. Use a = 0.05. ) (b) Test whether the mean work-hours lost differ for programs A and B. Use a = 0.05. ) (c) Test whether the mean work-hours lost differ for programs A and C. Use a = 0.05. A company is studying three different safety programs in an attempt to reduce the number of work-hours lost due to accidents. Each program is to be tried at three of the company's nine factories, and the plan is to monitor the lost work-hours, y, for a 1 year period beginning 6 months after the new safety program is instituted. The proposed model is E(Y) = Bo + Bx1 + Bx2 + B3x3 where y total work-hours lost due to accidents for a 1 year period beginning 6 months after the plan is instituted. x = total work-hours lost due to accidents during the year before the plan was instituted. x2 = = 1, if program B is in effect; and 0, otherwise. x3 = 1, if program C is in effect; and 0, otherwise. After the programs have been in effect for 18 months, the model is fit to the data. The following summary statistics are reported: RSS (X) = 3600, RSS(X|X) = 600, RSS(X3|X) = 1400, RSS(X, X2, X3) = 1000, and SYY = i1(yi y) = 4600. ) (a) Test whether the mean work-hours lost differ for the three programs. Use a = 0.05. ) (b) Test whether the mean work-hours lost differ for programs A and B. Use a = 0.05. ) (c) Test whether the mean work-hours lost differ for programs A and C. Use a = 0.05