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- What is meant by the sample space of an experiment?A government agency finds that in a sample of 22 randomly-selected commuting times for Americans, the average commuting time was 26.97 minutes with a standard deviation of 11.9 minutes, what is the UPPER endpoint of a 95% confidence interval for the population mean?In doing market research for the Ford Motor Company, you find that a random sample of 800 households includes 721 in which a vehicle is owned. Based on those results, construct a 98% confidence interval for the percentage of all households in which a vehicle is owned.
- The production manager in an automobile plant is concerned with the number of cars that do not pass the final quality control inspection. In the last two hours he noted that in a sample of 120 cars only 92 were acceptable. The lower and upper limit of a 95% confidence interval for the true percentage of all cars that would not pass the final quality control inspection would be:A sample of 250 items from lot A contains 10 defective items, and a sample of 300 itemsfrom lot B is found to contain 18 defective items. Construct a 98% confidence interval for the difference of proportions of defective items.Construct a 99% confidence interval for the proportion of all motorbike license applications that are misplaced by the department of transport, if a survey found that 20 out of a sample of 175 applications had been misplaced.
- The research group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: "Do you believe that it is morally wrong for unwed women to have children?" Of the 1,205 individuals who earned in excess of $100,000 per year, 712 said yes; of the 1,310 individuals who earned less than $100,000 per year, 693 said yes. Construct a 95% confidence interval to determine if there is a difference in the proportion of individuals who believe it is morally wrong for unwed women to have children.The lower bound is _______The upper bound is________. (Round to three decimal places as needed.)Suppose that a safety group surveyed 1,100 drivers. Among those surveyed, 65% said that careless or aggressive driving was the biggest threat on the road, and 25% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––??> (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is 95% confidence that the population proportion…In a survey of 500 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series. Assuming that it is reasonable to regard this sample of 500 potential jurors as representative of potential jurors in the United States, use the given information to construct a 95% confidence interval for the true proportion of potential jurors who regularly watch at least one crime-scene investigation series.
- A computer software magazine compares the rates of malware infection for computers protected by security software A with the rates of infection for computers protected by security software B.They found that out of 787 computers with security software A, 72 became infected with some type of malware after 1000 hours of internet interaction. For security software B, 37 out of 834 computers became infected after 1000 hours of internet interaction.Assuming these to be random samples of infection rates for the two security software packages, construct a 98% confidence interval for the difference between the proportions of infection for the two types of security software packages. Interpret the results. Does the confidence interval contradict the claim that the proportion of infections is the same for the two types of security software?In a sample of 400 Canadians, 220 say they would rather retire in the US than in Canada. Calculate the 95% confidence interval for the true proportion of Canadians who would rather retire in the US.In a study by Sallie Mae and Gallup, 323 of the 569respondents said that they paid for their education by taking out student loans. Find a 95% confidence interval for the proportion of students who paid for their education by taking out student loans.