Four regions (A, B, C, and D) in a country control seats in a national congress apportioned according to the respective populations in each region. The table shows the percentage of population growth in each region from 1991 to 1992.
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- (0.5,3.4),(0.2,3.7),(1.2,5.5),(2.9,7.3),(3.4,7.9),(2.4,5.9),(4.4,8.1),(4.5,7.9),(4.9,7.9),(3.3,6.6) Compute the coefficients of polynomials of degrees 3,4,5,6,7,8,9(3 to 9) that approximates the above data points in the least-square sense using Cholesky factorization.The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 247 Humanities 25% 209 Natural Science 20% 222 Social Science 15% 127 All other subjects 8% 83 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are different.H1: The distributions are different. H0: The distributions are the same.H1: The distributions are the same.H0: The…Ten countries were randomly selected from the list of 129 countries in theCountry. The countries are compared with respect to their gross nationalproduct per capita, an indicator of the average income level of each country.Researchers have found that people in countries with higher income levelstend to live longer than do people in countries with lower income levels.In addition, birth rates tend to be higher in countries with lower incomes,with birth rates declining as countries become better off economically. a. Use this data to determine the Spearman rank correlation of GNP with(i) life expectation, and (ii) the birth rate. b. Test to determine whether the correlation of ranks is statisticallysignificant at the 0.05 level of significance.
- The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 284 Humanities 25% 218 Natural Science 20% 207 Social Science 15% 102 All other subjects 8% 77 (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to three decimal places. Round the test statistic to three decimal places.)The table below shows the share of income going to each quintile of the income distribution for Neverland in 1980 and 1990. Complete the table below finding the the cumulative share of income for 1980 and 1990 and answer the following: Share of income in Cumulative share of Share of income in Cumulative share of Quintiles 1980 income in 1980 1990 income in 1990 1st 7% 6.6.% 2nd 11.5% 11.5% 3rd 17% 16.3% 4th 24.8% 22.7% 5th 39.7% 42.9% a) Sketch the Perfect Equality line and the Lorenz curve for 1980 and for 1990. Don't forget to label your graph and your curves! b) According to the Lorenz curves that you draw in (a), which year had worse income inequality, 1980 or 1990? JUSTIFY your answer! NOTE: This is a file upload question. Work your answer in a piece of paper, take a picture and upload your file.An advertising company is comparing published listening figures for different radio stations and podcasts in order to decide where is the best place to put their adverts. The audience figures for the last 20 quarters of radio stations A and B are in Table 1. Table 1 Audience figures in 100 000s of radio stations A and B for the last 20 quarters. Radio Station A Radio Station B 112 106 108 113 111 109 108 112 115 115 118 114 116 115 113 103 107 105 103 106 98 101 100 99 100 99 100 98 96 97 98 87 88 92 98 99 96 102 104 100
- The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 237 Humanities 25% 220 Natural Science 20% 223 Social Science 15% 128 All other subjects 8% 80 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different.H0: The…An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 267 Humanities 25% 217 Natural Science 20% 222 Social Science 15% 109 All other subjects 8% 73 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are different.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are different. H0: The distributions are the same.H1: The distributions are the same.H0: The…
- The dataset below represents the population density per square mile of land area in 15 states in the 2010 U.S. Census. What is the interquartile range? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,738The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 259 Humanities 25% 223 Natural Science 20% 213 Social Science 15% 126 All other subjects 8% 67 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are different.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different.H0: The…