论述题 The weight of AUS hockey players is normally distributed with mean of 75kg and standard deviation of 8kg. An AUS hockey player is randomly selected. a) What is the probability that the player weighs more than 79kg? b) What is the weight of a player to be in the top 5% heaviest players? It is known that screws produced by a certain company will be defective with probability 0.01, independently of one another. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of the 10 screws is defective. What proportion of packages sold must the company replace?【缺少答案，请补充】

填空题 Student use of cell phones during class is perceived by many faculty to be an annoying but perhaps harmless distraction. However, the use of a phone to text during an exam is a serious breach of conduct. The article "The Use and Abuse of Cell Phones and Text Messaging During Class: A Survey of College Students" reported that 27 out of the 267 students in a sample admitted to doing this. Can it be concluded at significance level 0.001 that more than 5% of all students in the population sampled had texted during an exam?【缺少答案，请补充】

论述题 The mean travel time to school for Ontario secondary school students is 17 minutes, with a sample standard deviation of 9.66 minutes. A random sample of 40 students is collected. Construct the 90% confidence interval of the true mean travel time to school for Ontario secondary school students.【缺少答案，请补充】

论述题 The proportion of Canadians who smoke cigarettes is roughly 15.8%. A sample of 100 Canadians are randomly sampled. a. What is the distribution of the sampled proportion of Canadians that smoke? b. What is the probability that less than 12% of the sampled Canadians smoke?【缺少答案，请补充】

论述题 Suppose you have the following 99% confidence interval (t- interval) as (200, 240), with n=20. Determine the following: (a) Sample Mean (b) Margin of Error (c) Sample Standard Deviation.【缺少答案，请补充】

论述题 Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. a. Show the sampling distribution of the sample mean average for a sample of 50 unemployed individuals. b. What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean?【缺少答案，请补充】

填空题 A manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130. A sample of n=9 systems, when tested, yield a sample average activation temperature of 131.08. If the distribution of activation temperature is normal with standard deviation 1.5, does the data contradict the manufacturer's claim at significance level α=0.01?【缺少答案，请补充】

论述题 A global financial institution transfers a large data file every evening from offices around the world to its London headquarters. Once the file is received, it must be cleaned and partitioned before being stored in the company's data warehouse. Each file is the same size and the time required to transfer, clean, and partition a file is normally distributed, with mean of 1.5 hours and a standard deviation of 15 minutes. a. If one file is selected at random, what is the probability that it will take longer than 1 hour and 55 minutes to transfer, clean, and partition the file? b. If a manager must be present until 85% of the files are transferred, cleaned, and partitioned, how long will the manager need to be there?【缺少答案，请补充】

填空题 A State Highway Patrol periodically samples vehicle speeds at various locations on a particular roadway. The sample of vehicle speeds is used to test the hypothesis H0: μ=65, Ha: μ>65. The locations where is rejected are deemed the best locations for radar traps. At Location F, a sample of 16 vehicles shows a mean speed of 67.4 mph with a standard deviation of 4.2 mph. Use α=0.05 to test he hypothesis.【缺少答案，请补充】