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please need help with question 9 and 10 data for those questions is nin question 8. PLEASE DONT ANSWER QUESTION 8 OLY USE DATA IN
please need help with question 9 and 10 data for those questions is nin question 8. PLEASE DONT ANSWER QUESTION 8 OLY USE DATA IN TABLE 1 TO ANSWER 9 AND 10. thank you so much will give thumbs up.
9. b.) c.) Consider the data from Table 1. Draw the Lorenz curve consistent with the data. Be sure to indicate the line of perfect equality. Compute the Gini coefficient associated with this earnings distribution. Now suppose the distribution of earnings changes so that the earnings levels are now TABLE 2 Worker Earnings ($) 32 2 48 3 60 4 5 Total 1 80 180 400 d.) e.) .) 10. . Total camnings are still $400. Draw the new Lorenz curve. Is it clear from the Lorenz curves which distribution is more equal? Compute the Gini coefficient associated with the new earnings distribution. Consider the data from Table 1. The Lorenz curve and Gini coefficient for this data were computed in problem 2. How would the Lorenz curve change if all camings levels were multiplied by 1,000? Suppose cach worker in the economy received an additional $20 in camings. Draw the new Lorenz curve and compute the new Gini coefficient. Lorenz curves can be drawn to represent the distribution of earnings or income. In this example, since there is no nonlabor income or taxes, the two curves would be the same. In general, this would not be true. Would you expect the distribution of eamings to be more or less equal than the distribution of income? a.) b.) c.) 8. Consider the data from Table 1. As shown below, the variance was originally computed as 2,400, the coefficient of variation as 0.61, and the 80-20 ratio as 5. TABLE 1 Worker Earnings ($) i 20 5 2 40 10 3 80 20 4 100 25 160 40 Total 400 100 400 where mean earnings are given by =- = 80 and the variance of earnings is given by 5 ' (-)' T 11 N o? - (20-80)* + (4080) +(80 80) + (100-80)? +(16080)? -= 2,400 5 The coefficient of variation is given by 2400 CV =- -= 0.61 E 80 The 80-20 earnings ratio is given by Earnings at 80th percentile_100 Earnings at 20th percentile 20 Suppose $20 is redistributed from worker 5 to worker 1. Compute the new variance and coefficient of variation. a.) 9. b.) c.) Consider the data from Table 1. Draw the Lorenz curve consistent with the data. Be sure to indicate the line of perfect equality. Compute the Gini coefficient associated with this earnings distribution. Now suppose the distribution of earnings changes so that the earnings levels are now TABLE 2 Worker Earnings ($) 32 2 48 3 60 4 5 Total 1 80 180 400 d.) e.) .) 10. . Total camnings are still $400. Draw the new Lorenz curve. Is it clear from the Lorenz curves which distribution is more equal? Compute the Gini coefficient associated with the new earnings distribution. Consider the data from Table 1. The Lorenz curve and Gini coefficient for this data were computed in problem 2. How would the Lorenz curve change if all camings levels were multiplied by 1,000? Suppose cach worker in the economy received an additional $20 in camings. Draw the new Lorenz curve and compute the new Gini coefficient. Lorenz curves can be drawn to represent the distribution of earnings or income. In this example, since there is no nonlabor income or taxes, the two curves would be the same. In general, this would not be true. Would you expect the distribution of eamings to be more or less equal than the distribution of income? a.) b.) c.) 8. Consider the data from Table 1. As shown below, the variance was originally computed as 2,400, the coefficient of variation as 0.61, and the 80-20 ratio as 5. TABLE 1 Worker Earnings ($) i 20 5 2 40 10 3 80 20 4 100 25 160 40 Total 400 100 400 where mean earnings are given by =- = 80 and the variance of earnings is given by 5 ' (-)' T 11 N o? - (20-80)* + (4080) +(80 80) + (100-80)? +(16080)? -= 2,400 5 The coefficient of variation is given by 2400 CV =- -= 0.61 E 80 The 80-20 earnings ratio is given by Earnings at 80th percentile_100 Earnings at 20th percentile 20 Suppose $20 is redistributed from worker 5 to worker 1. Compute the new variance and coefficient of variation. a.)Step by Step Solution
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