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- B- identify the value of the margin error E . C construct the confidence interval1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.Which of the following would result in a larger width for a confidence interval? A- use a larger sample B- select a smaller % confidence C- obtaining a sample with large variability D- none of the above
- A risk manager is analyzing a 1-day 98% VaR model. Assuming 252 days in a year, what is the maximum number of daily losses exceeding the 1-day 98% VaR that is acceptable in a 1-year backtest to conclude, at a 95% confidence level, that the model is calibrated correctly? a)5 b)9 c)10 d)12Suppose an economist wishes to estimate the mean commute time of workers in Westchester County. The economist obtains a random sample of 31 commutes in Westchester County and finds the sample mean to be 31.2 minutes and the sample standard deviation to be 12.1 minutes. a. Construct and interpret a 90% confidence interval for the mean commute time in Westchester County. b. Construct and interpret a 95% confidence interval for the mean commute time in Westchester County.The owner of the AGT Gas Station wishes to determine the fraction of customers who pay using a credit card or debit card. A random sample of 100 customers was surveyed and finds that 80 paid using their credit card or debit card. If you are going to construct a 99% confidence interval for the fraction of customers who paid using their credit card or debit card, what will be the value of the margin of error? a. 0.0658 b. 0.103 c. 0.0784 d. 0.0299
- A researcher is conducting a study to determine the mean trough dosage of medication for a population. Assuming a previous study was conducted for the same medication and the mean trough dose was found to be 490 mg with a standard deviation of 50 mg, calculate the margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals. E = ± 4.19 E = ± 63.57 E = ± 4.00 E = ± 0.27Refer to the following scenario. An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 33 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Sample size=?Suppose that a safety group surveyed 800 drivers. Among those surveyed, 83% said that careless or aggressive driving was the biggest threat on the road, and 34% 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 a 0.95 probability that the sample proportion of drivers…
- 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…According to Randall Financial, through April 25, 2018, 64% of companies reported profits had exceeded quarterly estimates. How large a sample is needed for a 95% confidence and a desired margin of error of .05 for those that exceed quarterly estimates?An environmental group conducted a study to determine whether crows in a certain region wereingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0parts per million (ppm) as unhealthy. The lead levels in a random sample of 23 crows in the region weremeasured and recorded. The mean lead level of the crows in the sample was 4.90 ppm and the samplestandard deviation was 1.12 ppm. Construct and interpret a 95% confidence interval for the mean leadlevel of the crows in the region. Be sure to go through the entire PANIC process.