For each of the three countries you choose, use the Penn World Tables to download annual data covering as much as possible of the period 195072019 for the same ve variables [real GDP, population, employment, hours, capital) as disccussed for Australia. Use a spreadsheet program to plot real GDP per person, real GDP per worker, real GDP per hour, and capital per worker for the three countries you choose. For each variable, put all three countries on the same plot to make it easier to compare them. Again put all your plots on a log scale. Calculate and report the average annual growth rate of real GDP per worker, real GDP per person, real GDP per hour, and capital per worker over the whole sample and over each decade (1950s, 1960s, . . ., 2010s). If some data is missing, take averages over those dates for which the data is available. Now suppose that each country i has a CobbDouglas production function of the form Yit : Aa Kit/3 Lit/3 where Ya denotes real GDP, Kit denotes capital, and La denotes the number of employed workers in country i on date t. Note that each country has the same share parameter 0: = 1/3 but they have different levels of total factor productivity (TF P) denoted A. Using this assumption, calculate and report the average annual growth rate of TFP over the whole sample and over each decade (1950s, 19603, . . ., 2010s) 7 again, subject to data availability for each country. Now suppose that the production function is instead 1s = Al Kt\" (Huh-t)?\" where H\" denotes average hours per worker, i.e., here the measure of labour input is total hours, not total employment. How if at all does this change your conclusions about TFP growth? Briey discuss the long run growth experiences of the three countries you choose. Which features of their experiences seem most important to you? Did these countries have similar or dissimilar experiences? Is their growth mostly due to capital accumulation or TFP growth? Explain