Mathematics, 30.10.2019 07:31 122333444469
(1 pt) {\bf lorenz curves}economists use a cumulative distribution called a lorenz curve to describe the distribution of income between households in a given country. typically, a lorenz curve is defined on the x-interval [0, 1] with endpoints (0, 0) and (1, 1), and is continuous, increasing, and concave upward. the points on this curve are determined by ranking all households by income and then computing the percentage of households whose income is less than or equal to a given percentage of the total income of the country. for example, the point (a/100, b/100) is on the lorenz curve if the bottom a % of the households receive less than or equal to b % of the total income. absolute equality of income distribution would occur if the bottom a % of the households receive a % of the income, in which case the lorenz curve would be the line y=x. the area between the lorenz curve and the line y=x measures how much the income distribution differs from absolute equality. the coefficient of inequality is the ratio of the area between the lorenz curve and the line y=x to the area under y=x. as it turns out, one could prove that the coefficient of inequality is twice the area between the lorenz curve and the line y=x, that iscoefficient of inequality =2? 10[x? l(x)]dx. suppose that the income distribution for a certain country is represented by the lorenz curve defined by the equationl(x)=512x2+712x.(a) what is the percentage of total income received by the bottom 50 % of the households? percentage of total income = %(b) find the coefficient of inequality. coefficient of inequality =
Answers: 2
Mathematics, 21.06.2019 17:20, organicmemez
Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?
Answers: 2
Mathematics, 21.06.2019 23:30, jacesmokesloud7254
Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.
Answers: 3
Mathematics, 22.06.2019 00:40, emmanuellugo40
Compute the standard deviation of the following set of data to the nearest whole number. 10, 10, 15, 20, 25
Answers: 3
(1 pt) {\bf lorenz curves}economists use a cumulative distribution called a lorenz curve to describe...
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