(a) What is the probability that one car chosen at random will have less than 71.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 71.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 71.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No
(a) What is the probability that one car chosen at random will have less than 71.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 71.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 71.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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 72 tons of coal into each car. The actual weights of coal loaded into each car are
(a) What is the probability that one car chosen at random will have less than 71.5 tons of coal? (Round your answer to four decimal places.)
(b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 71.5 tons of coal? (Round your answer to four decimal places.)
(c) Suppose the weight of coal in one car was less than 71.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment?
Suppose the weight of coal in 29 cars selected at random had an average x of less than 71.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why?
(b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 71.5 tons of coal? (Round your answer to four decimal places.)
(c) Suppose the weight of coal in one car was less than 71.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment?
Yes
No
Suppose the weight of coal in 29 cars selected at random had an average x of less than 71.5 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 small.
No, the probability that this deviation is random is very large.
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