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- The number of 5-element subsets from a set containing n elements is equal to the number of 6-element subsets from the same set. What is the value of n? (Hint: the order in which the elements for the subsets are chosen is not important.)A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?A scientist studied the spread of AIDS and concluded that 24% of people contracted the disease. There is a problem with this conclusion. What should the correct conclusion state?
- According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline) is 0.37. Jason conducts a survey of thirty 20- to 24-year-olds who live on their own and finds that 16 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20- to 24-year-olds who live on their own and don’t have a landline is greater than 0.37? Use an a=0.10 level of significance. NoteKentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?According to one survey taken a few years ago, 32% of American households have attempted to reduce their long-distance phone bills by switching long-distance companies. Suppose that business researchers want to test to determine if this figure is still accurate today by taking a new survey of 95 American households who have tried to reduce their long-distance bills. Suppose further that of these 95 households, 24% say they have tried to reduce their bills by switching long-distance companies. Is this result enough evidence to state that a significantly different proportion of American households are trying to reduce long-distance bills by switching companies? Let α = .01. Appendix A Statistical Tables (Round your answer to 2 decimal places.) The value of the test statistic is enter the value of the test statistic and we choose between reject and fail to reject the null hypothesis . Save for Later…
- Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 56% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could possibly pass the test. It also estimated that 41% of the athletes who take the test are fit enough to play soccer. Assuming these estimates are correct, what is the probability that Mona was justifiably dropped? (Round your answer to four decimal places.)For a telephone survey, a marketing research group needs to contact at least 600 wives, 480 husbands, 400 single adult males, and 440 single adult females. It costs $3 to make a daytime call and (because of higher labor costs) $5 to make an evening call. The file P03_31.xlsx lists the results that can be expected. For example, 30% of all daytime calls are answered by a wife, 15% of all evening calls are answered by a single male, and 40% of all daytime calls are not answered at all. Due to limited staff, at most 40% of all phone calls can be evening calls. a. Determine how to minimize the cost of completing the survey. b. Use SolverTable to investigate changes in the unit cost of either type of call. Specifically, investigate changes in the cost of a daytime call, with the cost of an evening call fixed, to see when (if ever) only daytime calls or only evening calls will be made. Then repeat the analysis by changing the cost of an evening call and keeping the cost of a daytime call…An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below. Agree Disagree Total Football Fan 673, 543, 1,216. Not a Football Fan 199, 681, 880. Total 872, 1,224, 2,096. Suppose that a survey participant is to be selected at random. Consider the following events. A = event selected participant agreed that the rules have been effective D = event selected participant disagreed that the rules have been effective F = event selected participant was a football fan (a) Calculate the following probabilities. (Round your answers to four decimal places.) (i) P(A) = (ii) P(D) = (iii) P(A|F) = (iv) P(A|FC) = (b) Are the events F and A independent events? Justify your answer using relevant probabilities. Yes, the events F and A are…
- 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?IN A CITY 250 MEN OUT OF 750 WERE FOUND TO BE SMOKERS. DOES THIS INFORMATION SUPPORT THE CONCLUSION THAT THE MAJORITY OF MEN IN THIS CITY ARE SMOKERS?