2. Consider the model of Monitoring and Reputation in Freixas and Rochet 2.5.2 where there are two periods and two types of firms;a proportion f are strategic firms who can choose either project G or project B. Project G has the probability of success TG. and Project B has the probability of success TB.A proportion 1- f are non-strategic firms who always choose project B. Monitoring by banks only stops strategic firms from choosing B (it doesn't stop non-strategic firms). Financial markets cannot distinguish strategic from non-strategic firms but can distinguish successful from unsuccessful firms in period 2. Investors in the financial market are risk neutral and require an expected return equal to the riskless rate of interest which is zero (i.e. so that investors get their money back) Suppose that parameters are: - TG = G = 2, TB =,B = ,f = 8 = 0.5 and C = What is the probability a successful firm in period 1 is a strategic firm? A. B. C. E. None of A-D
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- Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?Economists, Angrist and Lavy (1999) exploited an 800 year-old rule regarding classroom size to estimate the causal effect of smaller classes on student achievement. The rule, made famous by 12th century scholar Maimonides, states that one teacher is sufficient to manage a class with up to 40 students. Classes with more than 40 students will require 2 teachers. Angrist and Lavy noticed that strict application of this rule in certain areas meant that if 80 students were enrolled in a school, then the school would divide them up into two groups of 40 students per teacher. If 81 students were enrolled, however, they would be placed in three classes of 27 students each. The rule thus generated sharp discontinuities in class sizes within schools, which, the authors argue, allow them to provide causal evidence of a boost in fifth grade math and reading scores as a result of smaller class size. a. What research design is implied by the authors’ use of Maimonides’ rule to estimate the causal…Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that of its customers order their food to go. Suppose that this proportion is correct and that a random sample of individual customers is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
- Delta Food Grocery has two grocery stores located in Bije City. One shop is located on Jalan Usman and the other on Jalan Sinda and each is run by a different manager. Every manager claims that his shop layout maximizes the number of impulsive customers. The two managers surveyed their sample of customers and asked them how much they were spending than they planned, in other words, how much they were spending on impulse (spending more than they planned). The following table shows sample data collected from the two shops. Jalan Usman (Rp 000) Jalan Sinda (Rp 000) 15.78 15.19 17.73 18.22 10.61 12.87 15.79 17.79 13.45 13.96 12.85 13.74 12.47 10.83 S1 = 2.5529 S2 = 2.5675 Top management at Delta Foods Grocery wanted to know if there was a difference in the mean amount of impulsive consumption between the two stores. Perform statistical analysis via: 1. Compile the null hypothesis and alternative hypothesis 2.…A company claims that its brand of dish detergent, A, is more effective than a competitor’s brand, B. Fifty dirty dishes are randomly selected and randomly divided into two groups. In one group, each dirty dish will be placed in a container of hot water with Brand A detergent and in the other group, each dirty dish will be placed in a container of hot water with Brand B detergent. The dishes will sit for two hours, and then the cleanliness of the dishes will be measured using a scale of 1–10 (1 = least clean to 10 = most clean). The difference in mean cleanliness ratings for the two detergents (A – B) will then be calculated. What is the appropriate inference procedure?Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 45% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 50 individual customers is taken. Answer the following. (a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
- A study of drug offenders who have been treated for drug abuse suggests that the chance of conviction within a 2-year period after treatment may depend on the offender's education. The proportions of the total number of cases that fall into four education/conviction categories are shown in the following table. Status Within 2Years After Treatment Education Convicted NotConvicted Totals 10 Years or More 0.11 0.19 0.30 9 Years or Less 0.29 0.41 0.70 Totals 0.40 0.60 1.00 Suppose a single offender is selected from the treatment program. Here are the events of interest. A: The offender has 10 or more years of education B: The offender is convicted within 2 years after completion of treatment Find the appropriate probabilities for these events. (Round your answers to three decimal places.) (a) A (b) B (c) A ∩ B (d) A ∪ B (e) AC (f) A given that B has occurred (g) B given that A has occurredA study of drug offenders who have been treated for drug abuse suggests that the chance of conviction within a 2-year period after treatment may depend on the offender's education. The proportions of the total number of cases that fall into four education/conviction categories are shown in the following table. Status Within 2Years After Treatment Education Convicted NotConvicted Totals 10 Years or More 0.11 0.29 0.40 9 Years or Less 0.26 0.34 0.60 Totals 0.37 0.63 1.00 Suppose a single offender is selected from the treatment program. Here are the events of interest. A: The offender has 10 or more years of education B: The offender is convicted within 2 years after completion of treatment Find the appropriate probabilities for these events. (Round your answers to three decimal places.) (a) A Answer:_________________ (b) B Answer:_________________ (c) A ∩ B Answer:_________________ (d) A ∪ B Answer:_________________ (e) AC…Which concrete is best sold where? The marketing team of an engineering firm noticed that some of their concrete products are having trouble being sold at some of their distribution points. So they decided to investigate the sales for three concrete types: high-strength concrete, stamped concrete, and high-performance concrete. After consulting with the sales managers at three of their distribution points (A, B and C), they suspected two possibilities as potential reasons for the sales problem. The first is simply that some concrete types just sells better than others. The second is that in general, concrete sells in some places better than in others. So, they thought that if the first reason was true, they would have to just cut down on the production of the concrete types which don’t sell well. But if the second reason was true, then they would just limit normal distribution of concrete to places where it sells well. To clear these issues out they conducted a study. For each…
- 3.4 The system is tested on a sample of one hundred computers and the average connection speed is found to be far below 400 kilobits. What hypothesis should probably be rejected? Explain. If the customer needs a connection speed of 400 kilobits to run her application programs, what is the business decision that corresponds to the decision regarding the hypotheses?A purchaser of alarm clocks buys them in lots of size 10. It is his policy to inspect 3 clocks randomlyfrom a lot and to accept the lot only if all 3 are nondefective. If 30 percent of the lots have 4 defectiveclocks and 70 percent have only 1, what proportion of lots does the purchaser reject?Suppose that a healthy person has 10% chance of getting sick that would require $40,000 of medical expenses. Suppose that unhealthy person has a 60% chance of getting sick that would require $100,000 in medical expenses. A) What would be an actuarially fair premium for a healthy person? B) What would be an actuarially fair premium for unhealthy person? C) If everyone has to buy health insurance and 20% of the population are unhealthy and 80% of the population are health, what would be an actuarially fair premium for any person?