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Please go 4 decimal places for numbers 1-3. 1) Central Limit Theorem: A fertilizer company manufactures organic fertilizer with an average of 12 pound bags

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Please go 4 decimal places for numbers 1-3. 1) Central Limit Theorem: A fertilizer company manufactures organic fertilizer with an average of 12 pound bags with a standard deviation of 1.75 pounds per bag. What is the probability that a random sample of 24 bags will have a mean between 9 and 11.5 pounds? 2) Central Limit Theorem: There are 275 dogs at a dog show who weigh an average of 22 pounds, with a standard deviation of 8 pounds. If 9 dogs are chosen at random, what is the probability they have an average weight betweenll and 24 pounds? 3) Central Limit Theorem: A population of 29-year-old males has a mean salary of $35,725 with a standard deviation of $2,245. If a sample of 120 men is taken, what is the probability their mean salaries will be greater than $35,250

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