PRACTICE ANOTHERCoal 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 82 tons of coal into each car. Theactual weights of coal loaded into each car are normally distributed, with mean u = 82 tons and standard deviation o = 0.6 ton.(a) What is the probability that one car chosen at random will have less than 81.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 49 cars chosen at random will have a mean load weight x of less than 81.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 81.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment?O YesO NoSuppose the weight of coal in 49 cars selected at random had an average x of less than 81.5 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 small.O No, the probability that this deviation is random is very large.US O 9 I 12:16hp&24%%238.4.52.3

The probability is given by P(X<81.5) = P(X-uσ<81.5-uσ) P(X<81.5) = P(Z<81.5-820.6)…

(a) What is the probability that one car chosen at random will have less than 81.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 49 cars chosen at random will have a mean load weight x of less than 81.5 tons of coal? (Round your answer to four di (c) Suppose the weight of coal in one car was less than 81.5 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 49 cars selected at random had an average x of less than 81.5 tons. Would that fact make you suspect that the loader h 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 small. O No, the probability that this deviation is random is very large.

(a) What is the probability that one car chosen at random will have less than 81.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 49 cars chosen at random will have a mean load weight x of less than 81.5 tons of coal? (Round your answer to four di (c) Suppose the weight of coal in one car was less than 81.5 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 49 cars selected at random had an average x of less than 81.5 tons. Would that fact make you suspect that the loader h 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 small. O No, the probability that this deviation is random is very large.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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PRACTICE ANOTHER
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 82 tons of coal into each car. The
actual weights of coal loaded into each car are normally distributed, with mean u = 82 tons and standard deviation o = 0.6 ton.
(a) What is the probability that one car chosen at random will have less than 81.5 tons of coal? (Round your answer to four decimal places.)
(b) What is the probability that 49 cars chosen at random will have a mean load weight x of less than 81.5 tons of coal? (Round your answer to four decimal places.)
(c) Suppose the weight of coal in one car was less than 81.5 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 49 cars selected at random had an average x of less than 81.5 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 small.
O No, the probability that this deviation is random is very large.
US O 9 I 12:16
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24
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