12) The following table gives the population (in millions) of Georgia and North Carolina in 1990 and 2009. Year Georgia North Carolina 1990 6.5 6.8 2009 9.8 9.4 Assume the population growth rates are linear. Find when the two states had equal populations and find that population.
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- The average prices and quantities of seven items sold in Meru County are shown in the following table: 2019 2020 Price (Kshs/Kg) Quantity (Kg,000) Price (Kshs/Kg) Quantity (Kg,000) Pineapples 50 15 60 18 Oranges 40 30 85 35 Bananas 60 20 75 25 Beans 30 80 50 70 Wheat 40 60 60 65 Millet 70 20 90 40 Peas 30 60 40 100 a. Using 2019 as base year, compute Laspeyre’s, Paasche’s, Kelly’s, and Fishers Price index numbers for 2020. Comment on the results. b. Demonstrate that the computed Fisher’s ideal price index number satisfies both time reversal and factor reversal tests.2. A research Development department at Oda manufacturing company determines that 20% of people who purchase their products during any given month will not purchase the next month. On the other hand, 30% of the people who could not purchase during any given month will purchase in the next month. On a population of 1000 people 100 purchased their products this month. How many will purchase their product. 1. In the long run?2. A research Development department at Oda manufacturing company determines that 20% of people who purchase their products during any given month will not purchase the next month. On the other hand, 30% of the people-who could not purchase during any given month will purchase in the next month. On a population of 1000 people 100 purchased their products this month. How many will purchase their product. A. In the long run?
- 3.6 With the increase in the mobility of the population in the United States and with the increasein home-based employment, there is an inclination to assume that the personal income in theUnited States will become fairly uniform across the country. The following table provides the percapita personal income for each of the 50 states and the District of Columbia.Income(thousands of dollars) Number of States22.0–24.9 525.0–27 .9 1328.0–30.9 1631.0–33.9 934.0–36.9 437 .0–39.9 240.0–42.9 2 Total 51 a. Construct a relative frequency histogram for the income data.b. Describe the shape of the histogram using the standard terminology ofhistograms.c. Would you describe per capita income as being fairly homogenous across…Suppose that 2% of the employed lose their job each month. Further suppose that 25% of the unemployed find a job each month. a. What is the average duration of employment in this labor market? b. Do you think this is a reasonable figure given estimates of the natural rate? Why or why not? c. If you wanted to reduce the steady-state level of unemployment, what type of policies might you pursue and why?The following data is given for Soweto Hospital with regards to the number of patients admitted in the first half of the year ended 30 June 2023 and the total costs incurred by the hospital to treat these patients in this period:MonthNumber of patients admittedTotal costs incurred by the hospital (Rands)January20050 000February20050 000March25055 000April25055 000May30060 000June15045 000Required:Calculate the variable cost per unit and total fixed costs by using the Least Squares (Simple Regression Analysis) method.
- The table below contains monthly share prices for Pfizer Inc. (PFE) and Astrazeneca Plc. (AZN). It also contains the monthly prices for the S&P 5000 index (S&PCOMP). Date Time S&PCOMP PFE AZN 2/1/2019 0 2510.03 43.25 37.80 1/2/2019 1 2706.53 42.88 36.65 1/3/2019 2 2803.69 43.36 41.76 1/4/2019 3 2867.19 42.84 41.27 1/5/2019 4 2923.73 40.77 37.35 3/6/2019 5 2744.45 41.92 37.90 1/7/2019 6 2964.33 43.77 41.31 1/8/2019 7 2953.56 38.25 44.00 3/9/2019 8 2906.27 36.12 45.27 1/10/2019 9 2940.25 35.43 43.66 1/11/2019 10 3066.91 38.39 48.39 2/12/2019 11 3113.87 38.29 48.38 2/1/2020 12 3257.85 39.14 50.39 3/2/2020 13 3248.92 37.51 48.51 2/3/2020 14 3090.23 34.88 45.87 1/4/2020 15 2470.50 31.75 43.78 1/5/2020 16 2830.71 37.64 51.86 1/6/2020 17 3055.73 35.46 55.16 1/7/2020 18 3115.86 33.74 53.32 3/8/2020 19 3294.61 38.35 56.82 1/9/2020 20 3526.65 36.88 55.38 1/10/2020 21 3380.80 36.37 54.30 2/11/2020 22 3310.24 36.23 50.62 1/12/2020 23…suppose that from a sample of 200,000 new york workers, 32,400 reported traveling more than an hour an day. From this information, statisticians determined that about 16.2% of the workers in the state traveled more than an hou to work every day in 2011. If there were 8,437,512 workers in the entire population, about how many traveled more than an hour to work each day?2) . In February 2021, the Chicago Tribune reported:“The overdose epidemic that has ravaged Chicago has not spared the nearby suburbs, some of which have death rates comparable to anything seen in the city, according to a report released this week by the Cook County Department of Public Health. ZIP codes in the towns of Worth, Broadview, Maywood, and Forest Park, areas that “have substantially lower median household incomes and higher poverty rates,” have been especially hard-hit, the report said.”In the article, they claimed that lower incomes were associated with higher overdose death rates and that overdose death rates are increasing over time. The data you have been analyzing wasn’t focused on Chicago, obviously. But do your results support the general gist of the statistical argument being made in this Tribune excerpt? Please address:• Do overdose death rates appear to be associated with per capita income (use scatterplot)?• Do overdose death rates appear to be increasing over…
- Suppose that you would like to create composite indexes from three stocks: stk1, stk2, stk3. Their stock prices (Pt) and total shares outstanding (Qt) from day 0 to day 1 are shown as follows: stk3 splits two-for-one in day 1. P0 Q0 P1 Q1 stk1 40 250 50 250 stk2 50 100 50 100 stk3 60 150 50 300 Which answer is the closest value to the rate of return on a price-weighted index of the three stocks? A. 20% B. 25% C. 30% D. 35%A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% during the current year. In addition, it estimates that 15% of employees who had lost-timeaccidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years?b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?7.6 A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…