Quiz9_Practice_Problems_Solutions

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Apr 3, 2024

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Quiz 9 Practice Problems 1. Alex puts some pennies into a piggybank every day. The number of pennies added on any given day is equally likely to be 1, 2, 3, 4, 5, or 6, and is independent from day to day. Use the Central Limit Theorem to find an approximation to the probability that she collects more than 3 dollars in 100 days.
2. The line for tickets to the UT-OU game is long, with 100 students waiting to buy tickets. Ticket Sales knows that the number of tickets purchased by a student follows a distribution with mean μ = 2.7 and standard deviation σ = 2.0. If only 250 tickets remain, use the Central Limit Theorem to approximate the probability that all 100 students will be able to buy the tickets they want.
3. Your job as the Quality Control Statistician at Fort Knox requires you to estimate the mean weight of the gold bricks in the vault. You know that the weight of each brick has an identical distribution, independent of the weight of every other brick, and has a standard deviation of 10 ounces. You take a sample of 100 bricks and weigh them. What is the 96% confidence interval for the estimate of the mean weight?
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