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Sampling TV markets for a court case. A recent court case involved a claim of satellite television subscribers obtaining illegal access to local TV stations. The defendant (the satellite TV company) wanted to sample TV markets nationwide and determine the percentage of its subscribers in each sampled market who have illegal access to local TV stations. To do this, the defendant's expert witness drew a rectangular grid over the continental United States, with horizontal and vertical grid lines every .02 degrees of latitude and longitude, respectively. This created a total of 500 rows and 1,000 columns, or (500)(1,000) = 500,000 intersections. The plan was to randomly sample 900 intersection points and include the TV market at each intersection in the sample. Explain how you could use a random number generator to obtain a random sample of 900 intersections. Develop at least two plans: one that numbers the intersections from 1 to 500,000 prior to selection and another that selects the row and column of each sampled intersection (from the total of 500 rows and 1,000 columns).
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Chapter 1 Solutions
EBK STATISTICS FOR BUSINESS AND ECONOMI
- A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square. The area of a rectangle is calculated as follows: Area = base x height = b × h In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows: Area = 20 cm x 10 cm = 200 cm² Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion. The area of a triangle A triangle is really just a…arrow_forwardA rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square. The area of a rectangle is calculated as follows: Area = base x height = b × h In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows: Area = 20 cm x 10 cm = 200 cm² Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion. The area of a triangle A triangle is really just a…arrow_forwardAccording to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from 0 to 100, with a score of 95 – 100 indicating a great wine, 90 – 94 indicating an outstanding wine, 85 – 89 indicating a very good wine, 80 – 84 indicating a good wine, 75 - 79 indicating a mediocre wine, and below 75 indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in 2018 follow: Excel File: data07-11.xlsx 87 91 86 82 72 91 60 77 80 79 83 96 a. Develop a point estimate of mean wine score for this pinot noir (to 2 decimals). b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to 4 decimals).arrow_forward
- A political pollster wants to ensure that their poll on attitudes toward separation of church and state gets responses from all major religious groups. What kind of sampling method should be used?arrow_forwardUBC coaching center has two branches in Dhaka: one in Dhanmondi (Branch A) and another one in Mohammadpur (Branch B). To understand their students' performance, the coaching center conducts the same test in both branches. A sample of 8 students have been selected from branches A and B respectively, and the following table shows data on their performance. Use appropriate non-parametric methods on the data to find out whether there is a statistically significant correlation between the ranks of the students’ performance of the two branches.?arrow_forwardRecently the European Community (EC) decided to lower its subsidies to makers of pasta. In deciding by what amount to reduce total subsidies, experiments were carried out for determining the possible reduction in exports, mainly to the United States, that would result from the subsidy reduction. Over a small range of values, economists wanted to test whether there is a positive correlation between level of subsidy and level of exports. A computer simulation of the economic variables involved in the pasta exports market was carried out. The results follow. Assuming that the simulation is an accurate description of reality and that the values obtained may be viewed as a random sample of the populations of possible outcomes, state whether you believe that a positive rank correlation exists between subsidy level and exports level over the short range of values studied Qarrow_forward
- A merchant who sells newspapers and magazines at the corner kiosk heard you manage the Times’ inventory and asks for your advice. She has a small, variable number of customers who daily purchase the Chicago Sun Times. In order to get the newspapers in time, she has to place an order for the next day’s newspapers before noon. She pays $0.50 for each newspaper and sells them for $1.50 each. She has kept detailed records of her past sales of the Chicago Sun Times and estimates that 10% of the time she sells 10 newspapers, 40% of the time she sells 11, 30% of the time she sells 12, and 20% of the time she sells 13. (a) What is the merchant’s marginal profit and marginal loss? (b) Determine how many Chicago Sun Times newspapers she should buy every day to maximize expected profits. (c) Calculate the merchant’s expected profits for the optimal order quantity. (d) The merchant has always purchased 13 newspapers, thinking that the best way to maximize profits was to always meet the demand.…arrow_forwardQuestion 13 Consider the Republic of Ashbury and apportion 250 seats among the five states using Webster's method. Use the population from the table below. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Find: the standard divisor, the modified divisor, and • the distribution of representatives to each state. Representative Seats 250 Modified Standard Rounded Modify State Population Lower Quotas Quotas Quotas Quotas A 1,230,520 В 1,230,600 4,999,700 815,000 875,500 Total 9,151,320 Standard Divisor Modified Divisor a. Standard divisor: 36,605.28 Modified divisor: 36,629 States: A:34, B: 34, C: 136, D:22, E:24 X b. Standard divisor: 36,605.28 Modified divisor: 36,627 States: A:34, B: 34, C: 136, D:22, E:24 c. Standard divisor: 36,605.28 Modified divisor: 36,630 States: A:34, B: 33, C: 137, D:22, E:24 d. Standard divisor: 36,605.28 Modified divisor: 36,627 States: A:34, B: 34, C: 136, D:23, E:23arrow_forwardYou are helping a friend that owns a local store. Their costs are per unit, so the only way they can maximize profits are by increasing revenue. Therefore, you would like to help identify the price that will maximize revenues. Below is data from a previous period. Complete the chart. (For the TR Test, consider that prices are increasingarrow_forward
- You can adjust the values in the accompanying table for fields with white backgrounds. Once you have selected a field, you can either enter a new value or adjust the existing value by selecting the arrows (+ to increase and to decrease). You can exit the entry field by hitting Enter (or Return) on your keyboard or by selecting a place elsewhere on the problem. To reset a field to its starting value, select the circular refresh arrow that appears next to the selected field. Experiment with entering different values in the editable fields. Observe what changes take place on the graph itself and also in the uneditable fields in the table. Don't worry about understanding the economics behind the question, just make sure you understand how to manipulate the values on the graph. PRICE (Dollars per pair) 50 45 40 35 30 25 20 15 10 5 0 0 Supply 15 30 45 60 75 90 105 120 135 150 QUANTITY (Thousands of pairs of loafers) Entering 45.00 into the Price field Entering 40.00 into the Price of…arrow_forwardA CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. If we randomly select one of the adults who participated in this study, compute: (round to four decimal places)a.P(affiliated with neither party) = b.P(better) = c.P(better|affiliated with neither party) = d.P(affiliated with neither party|better) = e.P(affiliated with neither party and better) =arrow_forwardA quality engineer in charge of a coffee filter pack production line was concerned about the weight (in grams) of the filter packs being produced. The quality team sampled three packs every hour, throughout the production day. The table below shows the results: Sample number 1 2 3 4 5 6 7 20.6 20.1 20.6 21.5 21.4 21.1 21.4 Weight (g) 21.1 20.0 21.2 22.2 21.1 22.3 20.9 20.7 20.3 21.3 21.4 19.9 19.9 21.1arrow_forward
- Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSONEngineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
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