1). decide if a T-method, or F-method, or both method can be used. 2). If both can be used, do both methods and compare the test statistic and P values. In a study of insurance industry, an economist wished to related the speed with which a particular insurance innovation is adopted (Y) to the size of the insurance firm (X1) and the type of firm (X2, stock company and mutual company). Data is in insurance.csv *2 = 1 1 if mutual company if stock company Start from a full model with interaction: Y = Bo + BIX1 + B2X2 + B3X1X2, perform hypothesis test for the following question. Use a significant level of 0.1. Define Ho/Ha, test statistic, critical value, and state conclusion. a). The mutual firm and the stock firm have the same average adopt time for any firm size. b). The firm size (X1) has the same impact on the adopt time in mutual firm and stock firm. c). The firm size (X1) has no impact on the adopt time in mutual firm and stock firm. d). If the firm size (X1) has the same impact on the two insurance company (i.e.83 = 0), the average adoption time for the stock firm, at any given firm size, is also the same as the mutual firm.\f