It is known that in any given year, • 90% of the people in a city move to the suburbs; • 80% of the people in the suburbs do not move to the city. Given an initial city population of 55,000 and an initial suburb population of 77,000, what are the long-term population levels of the city and the suburb?
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- Cigarettes 2009. In 1999, the Centers for Disease Controland Prevention estimated that about 34.8% of high schoolstudents smoked cigarettes. They established a nationalhealth goal of reducing that figure to 16% by the year2010. To that end, they would be on track if they achieveda reduction to 17.7% by 2009. In 2009, they released aresearch study in which 19.5% of a random sample of5080 high school students said they were current smokers.Is this evidence that progress toward the goal is off track?a) Write appropriate hypotheses.b) Verify that the appropriate assumptions are satisfied.c) Find the P-value of this test.d) Explain what the P-value means in this context.e) State an appropriate conclusion.f) Of course, your conclusion may be incorrect. If so,which kind of error did you commit?Do you dislike waiting in line? Supermarket chain Kroger has used computer simulation and information technology to reduce the average waiting time for customers at 2300 stores. Using a new system called QueVision, which allows Kroger to better predict when shoppers will be checking out, the company was able to decrease average customer waiting time to just 26 seconds (InformationWeek website and The Wall StreetJournal website, January 5, 2015).a. Assume that Kroger waiting times are exponentially distributed. Show the probability density function of waiting time at Kroger.b. What is the probability that a customer will have to wait between 15 and 30 seconds?c. What is the probability that a customer will have to wait more than 2 minutes?Company A receives large shipments of microprocessors from Company B. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Company A decides to test ten microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned. Complete parts a through c. a. If Company B's shipment contains 12% defective microprocessors, calculate the probability the entire shipment will be returned. The probability is nothing. (Round to four decimal places as needed.) If Company B and Company A agree that Company B will not provide more than 5% defective chips, calculate the probability that the entire shipment will be returned even though only 5% are defective. The probability is (please show how you achieved answer).
- Burkina Faso, a landlocked country in West Africa, has the lowest adult literacy rate in the world (25.3%). Over the past 15 years, the government has focused heavily on improving access to education across the country. Between 2008 and 2015, the primary school completion rate rose from 40% to 60%, and the high school completion rate doubled over the same period from 15% to 30%. Despite these encouraging statistics, children in rural areas, especially girls, continue to have limited access to quality education. You put together a survey to collect information on the following variables and you are ready to analyze: Gender Age at last birthday Distance from school Level of education (Primary, Secondary, Post-Secondary) Discuss what measure of central tendency is the most appropriate for each variable making sure to explain why.A survey of 137 investment managers in a poll revealed the following. • 46% of managers classified themselves as bullish or very bullish on the stock market. • The average expected returm over the next 12 months for egquities was 11.5%. - 21% selected health care as the sector most likely to lead the market in the next 12 months. • When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.8 years (a) Cite two descriptive statistics. (Select all that apply.) O of those investment managers surveyed, 46% were bulish or very bullish on the stock market. O of those investment managers surveyed, 21% selected health care as the sector most likely to lead the market in the next 12 months. D of those investment managers surveyed, 46% were bulish or very bullish on health care stocks over the next 2.8 years. D of those linvestment managers surveyed, 11.5% expect it would take 12 months for equities to resume…B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff has half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.
- Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price.On the basis of this fact, a financial analyst claims we can assume that 76% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 61 stocks traded on the NYSE that day showed that 43 went up. You are conducting a study to see if the proportion of stocks that went up is significantlysmaller than 76%. You use a significance level of α=0.01α=0.01. For this study, we should use Select an answer 2-SampTInt 2-PropZInt 1-PropZInt T-Test χ²GOF-Test 2-SampTTest 2-PropZTest TInterval ANOVA 1-PropZTest χ²-Test The null and alternative hypotheses would be: H0H0: ? p μ Select an answer > = < ≠ (please enter a decimal) H1H1: ? p μ Select an answer ≠ = > < (Please enter a decimal) The test statistic =…A salon owner estimates the number of clients she is expecting during the festive season to be 20% during Monday to Wednesday, 20% on Thursday and 60% over the weekend. She therefore hires additional staff to assist during the weekend to meet the client demand. She however only observes 30% during Monday to Wednesday, 20% on Thursday and 50% over the weekend in the first week of December. The salon owner is uncertain whether she should reduce the planned staff for the December festive period due the observed trend or not. She conducts a statistical test at α = 0.05 to determine if the observed trend fits the expected trend. Which of the following statements is true? A. The conclusion of the test is that she should not keep the additional staff for the weekend. B. The df for this test is 3. C. The p-value is greater than α. D. The null hypothesis is that the observed trend is different to the expected trend. E. The test statistic is χ2 = 5.33.B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 ➤ Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff | half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.
- B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff has half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price.On the basis of this fact, a financial analyst claims we can assume that 54% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 74 stocks traded on the NYSE that day showed that 35 went up. You are conducting a study to see if the proportion of stocks that went up is significantly smaller than 54%. You use a significance level of α=0.05α=0.05. how to you come up with the test statistic and p value using excelB. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 ➤ Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff | half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.