Work out please

a. mean = Zilli = 14.8 $ b. sorted data : 6.7, 7.2, 7.2, 7.6, 10.1, 16.1, 16.4, 17.2, 22.9, 36.6 median = 0.5 * (5th obs + 6th obs) = 13.1$ c. mode = 7.2$ d. Q1 = obsun. s.t. 25% of the data is less or equal to it = 7.2 23 = obsun s.t. 75% of the data is less or equal to it = 17.2 e. Total endowment = 14.8 * 10 = 148 billion $ % of total = (148/413) * 100 = 35.835% f. Actual amount post decline = (1 - 0.23) * 148 = 113.96$ a possible step will be to urge alumni to donate to the universities range = mar - min = 36.6 - 6.7 = 29.9 Eiri - 1)2 IQR = Q3 - Q1 = 10, var = - 89.55 n - 1 sd = vvar =9.46, coeff. of var = sd/ mean = 0.6392#3 - 20 points: Consider a 2-person, 2-good economy. Endowments and utility functions are: = (1,2) , u (x, y) = min{c, y} = (3,2) , u(x, y) = xty Draw a carefully labeled Edgeworth box diagram showing: a) endowments b) indifference curves through the endowments c) the set of allocations that both agents prefer to the endowments1. (Endowment Economies) When will countries trade? Assuming 2 goods, food and clothing, and two countries with homothetic preferences, determine whether these two countries will trade in each of the following situations: (a) Countries have identical preferences and identical endowments. (b) Countries have identical preferences, their endowments differ, and their endow- ments are not in the same ratio of food to clothing. (c) Countries have identical preferences, their endowments differ, but the ratio of food to clothing is the same in both countries. (d) Countries have identical endowments but different preferences. (e) Countries have both different preferences and different endowmentsPart 1 {0.2 point) 0 See Hint A consumer receives an endowment of $100.00 this period and $700.00 next period. Currently the interest rate is 6.00%. The present value of the endowment is $ 1643.40 . (Give your answer to two decimals.) Part 2 {0.4 point) 0 See Hint Suppose that instead, the endowment is $120.00 this period and $910.00 next period. Suppose that the interest rate is still 6.00%. Now the present value of the endowment is $ 1023.21 . (Give your answer to two decimals.) With the new endowments, the consumer is Ealthier v Part 3 {0.4 point) 0 See Hint Now suppose that the endowment is $50.00 in the rst period and $675.00 in the second period. The interest rate is still 6.00%. Now the present value of the endowment is $ 722.17 . {Give your answer to two decimals.) With the new endowments. the consumer is ipoorer v