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Mandrake Falls High School is experimenting with a weekend course in laboratory techniques. Of the 200 students enrolled in lab classes at Mandrake, only 73 have been able to take the techniques course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors have recorded harmful lab incidents: accidents, misuse of lab equipment, etc. The school is looking at the data and examining two variables: laboratory performance ("involved in no incident", "involved in exactly one incident", or "involved in 2+ incidents") and status regarding lab techniques course ("took the techniques course" or "didn't take the techniques course"). The contingency table below gives a summary of the data that have been gathered so far. In each of the 6 cells of the table are three numbers: the first number is the observed cell frequency (f0); the second number is the expected cell frequency ( fk ) under the assumption that there is no relationship between students' laboratory performances and whether or not they took the techniques course; and the third number is the following value. (Observed cell frequency - Expected cell frequency )^2 / Expected cell frequency The numbers labeled "Total" are totals for observed frequency. - Laboratory performance: Involved in no incident, Involved in exactly one incident, Involved in 2+ incidents - Status regarding lab techniques course: Took the techniques course, Didn't take the techniques course Laboratory Performance Involved in no incident Involved in exactly one incident Involved in 2+ incidents Total ------------------------------------------------------------------------------------------------------------------- Took the techniques course 31 26 16, 15.70, 0.006 73 Didn't take the techniques course 66 34 27, 27.31, 0.004 127 Total 97 60 43 200 (a) Determine the type of test statistic to use. Type of test statistic: (b) Find the value of the test statistic. (Round to two or more decimal places.)
Consider a society with two individuals a and b whose incomes are respectively A and B. The social welfare function of the society is W=100,000-1/A-25/B. The utility possibility frontier of the society is given by the equation 3 A+12 B=990. Will the income sizes that maximise social welfare be equal? In 426 BCE during the civil war between the democrats and the oligarchs of Corcyra (modern Corfu), the exiled oligarchs "got together boats and mercenaries and crossed over to the island ... and burning their boats so as to have no hope except in becoming masters of the country, and fortifying themselves up to Mount Istone, began to assault those in the city [to obtain] command of the country." Thucydides The Peloponnesian War Book 3, Chapter 85 The oligarchs could pursue either of two plans, fight or live peacefully in exile. If the oligarchs win the fight, they take over the government and enjoy a benefit G which is twice the size of the benefit from living peacefully in exile. If the oligarchs lose the fight, they suffer a loss L which is also twice the size of the benefit of living peacefully in exile. Living peacefully in exile confers a certain benefit equal to E. However, the outcome of victory is uncertain, that is, there is a probability P less than one that they win the fight. Assuming that the oligarchs are risk-neutral, use expected utility theory to identify the probability threshold for choosing to fight. Assume that everyone agrees that global warming is both real and caused by humans. Give two major reasons why bargaining in the spirit of Coase is unlikely to resolve the problem of excess carbon emissions.
Page 1 of 2 "All in the Family": Race, Class and Gender in the 1970s Website for streaming: https://www.imdb.com/title/tt0509913/ (If you have difficulty finding the episode, please email the professor (bergerjmoravian.edu). You might be able to use one of your personal streaming services to access it as well. This episode of "All in the Family" aired in February 1972. It is considered to be one of the most famous television programs of all time. We are watching it to get a sense of the points the producers were attempting to make and also to consider what ideas they took for granted that we no longer accept. "All in the Family" was a sitcom and satire that ran from 1971 to 1979. You are watching it to gain insights into the 1970s, which was a period when liberals ideas were prominent but conservatism was on the rise. In this episode, Sammy Davis, Jr., a famous African American celebrity, played himself. What can you learn about class, race and gender in the 1970 s from this episode? What was Archie Bunker's economic class, and how do you know? What happens in the episode that indicates Archie's attitudes about Black people? How would you characterize Archie in terms of his ideas about race relations? Is he racist? - What points are the producers trying to make about race relations in the U.S. during the 1970 s? - Describe Archie's interactions with his wife, Edith? Are there things that he does that would not be acceptable on television today? If so, provide some examples. Why is there laughter on the sound track when Archie and other characters make fun of Edith? What was supposed to be funny?