2. What features Bad Presentation Good Presentation of the 'Good Minimum Wage Minimum Wage 1.00 Presentation' make it better 1970 S1.00 2 1900 3.10 than the 'Bad Presentation'? 1990: S30 1960 1970 1980 1990 A. Bad Presentation v Good Presentation Quarterly Sales Quarterly Sales 200 50 100 25 01 02 03 04 01 02 03 04 B.
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1Suppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she must choose between working q hours and not working at all, where q > 0. Suppose that dividend income is zero, and that the consumer pays a tax T if he or she works, and receives a benefit b when not working, interpreted as an unemployment insurance payment. a. If the wage rate increases, how does this affect the consumer’s hours of work? What does this have to say about what we would observe about the behavior of actual consumers when wages change? Explained also with the graph b. Suppose that the unemployment insurance benefit increases. How will this affect hours of work? Explain the implications of this for unemployment insurance programs. Explained also with the graphSuppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
- The government is attempting to determine whetherimmigrants should be tested for a contagious disease. Let’sassume that the decision will be made on a financial basis.Assume that each immigrant who is allowed into the countryand has the disease costs the United States $100,000, andeach immigrant who enters and does not have the diseasewill contribute $10,000 to the national economy. Assumethat 10% of all potential immigrants have the disease. Thegovernment may admit all immigrants, admit no immigrants,or test immigrants for the disease before determiningwhether they should be admitted. It costs $100 to test aperson for the disease; the test result is either positive ornegative. If the test result is positive, the person definitelyhas the disease. However, 20% of all people who do havethe disease test negative. A person who does not have thedisease always tests negative. The government’s goal is tomaximize (per potential immigrant) expected benefits minusexpected costs. Use a decision…A developer owns a piece of beachfront land that she intends to developfor residential use. The private returns to the developer are as follows:Return if developed: $50,000Return if undeveloped: $10,000Suppose that three nearby residents would sustain damages from beacherosion if the land is developed. Their damages would be as follows:Resident 1: $20,000Resident 2: $15,000Resident 3: $10,000a.) Is it efficient for the land to be developed?b.) Suppose that the developer has property rule protection of herright to develop. If bargaining costs between the developer and theresidents are zero, describe the likely outcome.c.) How does your answer to part (b) change if it costs the threeresidents a total of $10,000 to organize and act collectively?d.) How can the government use its regulatory authority toovercome the problem of high bargaining costs?e.) What amount of compensation should the developer receive ifshe is prohibited from developing the land and if the development ban isconstrued…An experimenter is studying the effects of temperature,pressure, and type of catalyst on yield from a certainchemical reaction. Three different temperatures, fourdifferent pressures, and five different catalysts are underconsideration.a. If any particular experimental run involves the use ofa single temperature, pressure, and catalyst, howmany experimental runs are possible?b. How many experimental runs are there that involve useof the lowest temperature and two lowest pressures?c. Suppose that five different experimental runs are tobe made on the first day of experimentation. If thefive are randomly selected from among all the possibilities,so that any group of five has the same probabilityof selection, what is the probability that adifferent catalyst is used on each run?
- A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. x2 0 1 2 3 x1 0 0.09 0.07 0.04 0.00 1 0.05 0.15 0.05 0.04 2 0.05 0.03 0.10 0.06 3 0.01 0.02 0.04 0.07 4 0.00 0.02 0.05 0.06 (a) What is P(X1 = 1, X2 = 1), that is, the probability that there is exactly one customer in each line?P(X1 = 1, X2 = 1) = (b) What is P(X1 = X2), that is, the probability that the numbers of customers in the two lines are identical?P(X1 = X2) = (c) Let A denote the event that there are at least two more customers in one line than in the other line. Express A in terms of X1 and X2. A = {X1 ≥ 2…A small market orders copies of a certain magazine for its magazine rack each week. Let X = demand for the magazine, with pmf x 1 2 3 4 5 6 p(x) 1/5 2/15 3/15 4/15 3/15 2/15 Suppose the store owner actually pays $2.00 for each copy of the magazine and the price to customers is $4.00.If magazines left at the end of the week have no salvage value, is it better to order three or four copies of the magazine? [Hint: For both three and four copies ordered, express net revenue as a function of demand X, and then compute the expected revenue.]You have conducted a study to determine if there is independence or dependence between market segments (A-C) and prices the segments are willing to pay for a product. The following cross tabular output appears. Under $10 $11-$15 over $15 All A 50 30 20 100 50.00 30.00 20.00 33.33 27.27 50.00 16.67 10.00 6.67 50.00 36.67 13.33 0.000 1.212 3.333 B 40 50 10 100 40.00 50.00 10.00 26.67 45.45 25.00 13.33 16.67 3.33 50.00 36.67 13.33 2.000 4.848 0.833 C 60 30 10 100 60.00 30.00 10.00 40.00 27.27 25.00 20.00 10.00 3.33 50.00 36.67 13.33 2.000 1.212 0.833 All 150 110 40 300…
- 1) "There is an issue where students seem to find themselves making irrational purchasing decisions during the first week of loan reimbursement for their study loans." From this statement, extract the possible dependent variable (DV) and independent variable (IV)1. The following data represent the operating time in hours for 4 types of pocket calculators before a recharge is required.Fx101 Fx202 Fx303 Fx404 6.4 5.9 7.1 5.3 6.1 5.8 7.1 4.9 6.5 5.9 7.2 6.1 6.2 5.1 7.3 7.1 6.3 5.0 7.4 4.9Test at 0.01 level of significance if the operating times for all four calculators are equal. Use 4 decimal placesSTATISTICS = _____COMPUTED VALUE = _____TABULAR VALUE = _____CONCLUSION = _____Environment-friendly agricultural practice includes the application of pesticides when it is really necessary, e.g., at the beginning of a pest emergence. Such practice, depending on the field conditions, and the reaction of growers, for the same level of "alert" inspired this question. Condition: There is a generalized emergence of pests in a given area. At this stage of the emergence, not all growers decide to apply pesticides, hoping that the emergence will be brief or without implication for their field. Accordingly, assume 75% of the growers in that area at that time decide to apply pesticides.1) What is the probability that among five growers randomly sampled, two decide not to apply pesticides? 2) What is the probability that among 10 randomly sampled growers, more than nine decide to apply pesticides?