The accompanying data resulted from an experiment toinvestigate whether yield from a certain chemical processdepended either on the formulation of a particularinput or on mixer speed. Speed60 70 80 189.7 185.1 189.01 188.6 179.4 193.0 190.1 177.3 191.1Formulation 165.1 161.7 163.32 165.9 159.8 166.6 167.6 161.6 170.3A statistical computer package gave SSsFormd 5 2253.44,SSsSpeedd 5 230.81, SSsForm*Speedd 5 18.58, andSSE 5 71.87.a. Does there appear to be interaction between the factors?b. Does yield appear to depend on either formulation orspeed?c. Calculate estimates of the main effects.d. The fitted values are xijk 5 m 1 ai 1 bj 1 gij, andthe residuals are xijk 2 xijk. Verify that the residualsare .23, 2.87, .63, 4.50, 21.20, 23.30, 22.03, 1.97,.07, 21.10, 2.30, 1.40, .67, 21.23, .57, 23.43, 2.13,and 3.57.e. Construct a normal probability plot from the residualsgiven in part (d). Do the eijks appear to be normallydistributed?

Econ 225: Ex. You have 12 shirts in your closet. 9 White shirts, 3 Black shirts. Suppose you pick a shirt at random. Put it on, when you get home you take it off and wash it. Suppose you do the same thing the next day, without replacing the first shirt. What is the probability that both shirts you picked out are white Day 1: P(Picking a white shirt)= 9/12 (9 white shirts/...