ial is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic h
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ial is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic h
ial is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car ader is set to put 60 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with ean μ=60 tons and standard deviation σ=0.7 ton. (a) What is the probability that one car chosen at random will have less than 59.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 40 cars chosen at random will have a mean load weight xˉ of less than 59.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 59.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No Suppose the weight of coal in 40 cars selected at random had an average xˉ of less than 59.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this deviation is random is very small, Yes, the probability that this deviation is random is very large. No, the probability that this deviation is random is very 5mall. No, the probability that this deviation is random is very large.
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