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Example Practice Problems For Stat 509 Final Exam Essay

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Example Practice Problems for STAT 509 Final Exam 1. The newest Boeing 787-9 Dreamliner is designed to be 206 feet in length. The manufacturing process for assembling the 787-9 follows a normal distribution with mean 205.8 feet and standard deviation 0.5 feet. a) If the specification for the 787-9 Dreamliner is 206 feet plus or minus 1 foot, or (205’ , 207’), what percentage of the assembled airplanes are beyond the specifications? Draw a Normal Graph of the data. (5) b) Find the 90% percentile of all 787-9 airplanes in terms of length? Show on a Normal Graph (5) c) Find the probability that a random sample of 5 airplanes exceeds a mean of 206.5 feet. Draw a Normal Graph of the data. (5) 2. A group of 300 people were surveyed. Their marital status was recorded along with answers to several questions. One question asked was whether “Friends and social life” or “Job or primary activity” contributes most to their general well-being. The results from this question appear in the table below. Single (never married) Married Widowed or divorced Friends and social life 47 59 56 Job or primary activity 33 61 44 Find the probability that a randomly selected person chose “Friends and social life”. Find the probability that a randomly selected person is “Married” and chose “Friends and social life”. Find the probability that a randomly selected person chose “Friends and social life” given the person is “Married”. Are the events chose “Friends and

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