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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 88 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 88 tons and standard deviation = 0.5 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 87.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 24 cars chosen at random will have a mean load weight x of less than 87.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes O No

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 88 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 88 tons and standard deviation = 0.5 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 87.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 24 cars chosen at random will have a mean load weight x of less than 87.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes O No

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 88 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 88 tons and standard deviation o = 0.5 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 87.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 24 cars chosen at random will have a mean load weight x of less than 87.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No
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 88 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 88 tons and standard deviation o = 0.5 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 87.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 24 cars chosen at random will have a mean load weight x of less than 87.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No
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