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of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 77 tons and standard deviation = 0.9 ton USE SALT (a) What is the probability that one car chosen at random will have less than 76.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 23 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes No Suppose the weight of coal in 23 cars selected at random had an average x of less than 76.5 tons. Would that fact make you suspect that the load

of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 77 tons and standard deviation = 0.9 ton USE SALT (a) What is the probability that one car chosen at random will have less than 76.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 23 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes No Suppose the weight of coal in 23 cars selected at random had an average x of less than 76.5 tons. Would that fact make you suspect that the load

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Coal 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 loader is set to put 77 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 77 tons and standard deviation o = 0.9 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 76.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 23 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 23 cars selected at random had an average x of less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that this deviation is random is very small. O Yes, the probability that this deviation is random is very large. O No, the probability that this deviation is random is very large. O No, the probability that this deviation is random is very small.
Transcribed Image Text:Coal 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 loader is set to put 77 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 77 tons and standard deviation o = 0.9 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 76.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 23 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 23 cars selected at random had an average x of less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that this deviation is random is very small. O Yes, the probability that this deviation is random is very large. O No, the probability that this deviation is random is very large. O No, the probability that this deviation is random is very small.
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