Quarters have weights that are uniformly distributed between 5516 and 5794 mg, with a standard deviation of 9.8 mg. StatCrunch a) What is the probability that the mean of a sample of 339 different quarters falls between 5655 and 5788 mg.? % (round answer to a whole number percentage) Does the Central Limit Theorem apply to part a? Yes - because we are looking at the mean of the sample of 339 coins which is > 30. No - because the population is NOT normally distributed. b) A vending machine is configured to only accept quarters with weights between 5553 and 5788 mg. Customers insert 339 different quarters into this machine (one at a time). Does the Central Limit Theorem apply to part b)? No - because 1 coin at a time is inserted Yes - because 339 coins are all inserted into the machine at once which is > 30. % of the quarters will be accepted and % of them will be rejected. (round answers to a whole number percentage) What is the expected number of rejected quarters out of 339? (round to a whole number).
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We need to find the probability that the mean weight of a sample of 339 quarters falls between 5655 mg and 5788 mg. We also need to determine if the Central Limit Theorem (CLT) applies and calculate the percentage of quarters accepted by a vending machine that Show more…
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