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# MATH302

Part 1 of 3 -Question 1 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A marketing research consultant hired by Coca-Cola is interested in determining the proportion of customers who favor Coke over other soft drinks. A random sample of 400 consumers was selected from the market under investigation and showed that 53% favored Coca-Cola over other brands.Compute a 95% confidence interval for the true proportion of people who favor Coke. Place your LOWER limit, rounded to 3 decimal places, in the first blankReset SelectionQuestion 9 of 201.0 PointsThe average gas mileage of a certain model car is 26 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 1.3, find the probability that a randomly selected car of this model has a gas mileage between 25.8 and 26.3 miles per gallon.Reset SelectionQuestion 10 of 201.0 PointsCompute      where t15has a t-distribution with 15 degrees of freedom.Reset SelectionQuestion 11 of 201.0 PointsA sample of 23 European countries found that the variance of life expectancy was 7.3 years. What is the 95% confidence interval estimate for the variance of life expectancy in Europe?Reset SelectionQuestion 12 of 201.0 PointsIn order to be accepted into a top university, applicants must score within the top 5% on the SAT exam. Given that SAT test scores are normally distributed with a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university?Reset SelectionQuestion 13 of 201.0 PointsFind the 95% confidence interval for the standard deviation of the lengths of pipes if a sample of 26 pipes has a standard deviation of 10 inches.Reset SelectionQuestion 14 of 201.0 PointsIn constructing a confidence interval estimate for a population mean, when we replace  with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is:Reset SelectionQuestion 15 of 201.0 PointsIf you increase the confidence level, the confidence interval ____________.Reset SelectionQuestion 16 of 201.0 PointsCompute    where t20has a t-distribution with 20 degrees of freedom.Reset SelectionQuestion 17 of 201.0 PointsIf you are constructing a confidence interval for a single mean, the confidence interval will___________ with an increase in the sample size.Reset SelectionQuestion 18 of 201.0 PointsThe upper limit of the 90% confidence interval for the population proportion p, given that n = 100; and    = 0.20 isReset Selection