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a) What is the probability that a car chosen at random will have less than 83.5 tons of coal? benuoo of b) What is the probability that 20 cars chosen at random will have a mean load weight i of less than 83.5 tons of coal? quong aoilA a aealonsq to 1edmun babec erw d fnoiten 10) Suppose x has a normal distribution with o = 6. A random sample of size n = 16 has sample A (8 on mean 50. a) Is it appropriate to use a normal distribution to compute a confidence interval for the population mean µ? Explain. b) Find a 90% confidence interval for u. c) Explain the meaning of the confidence interval you computed.

a) What is the probability that a car chosen at random will have less than 83.5 tons of coal? benuoo of b) What is the probability that 20 cars chosen at random will have a mean load weight i of less than 83.5 tons of coal? quong aoilA a aealonsq to 1edmun babec erw d fnoiten 10) Suppose x has a normal distribution with o = 6. A random sample of size n = 16 has sample A (8 on mean 50. a) Is it appropriate to use a normal distribution to compute a confidence interval for the population mean µ? Explain. b) Find a 90% confidence interval for u. c) Explain the meaning of the confidence interval you computed.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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9) 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 85 tons of coal in each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 85 tons and standard deviation o = 1.2 ton. a) What is the probability that a car chosen at random will have less than 83.5 tons of coal? ode Jedanocon vebol Au oloe ( g laenuoo of el dot 92orw 191ow lsiooe s al oA.21sbnatto emod ton asob nooeg s ansem 2200ue b) What is the probability that 20 cars chosen at random will have a mean load weight i of less dedotg sni bni ts noale lle to 08 ng A nevig need 2ed opilA abnatto isegsi than 83.5 tons of coal? quo1g eaollA ai aeelonsq to 1edmun babsgke arb ai terlW (d Snoiteivsb bisbnale e sW Sansbnotto 10) Suppose x has a normal distribution with o = 6. A random sample of sizen = 16 has sample mean 50. a) Is it appropriate to use a normal distribution to compute a confidence interval for the population mean µ? Explain. b) Find a 90% confidence interval for u. c) Explain the meaning of the confidence interval you computed.
Transcribed Image Text:9) 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 85 tons of coal in each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 85 tons and standard deviation o = 1.2 ton. a) What is the probability that a car chosen at random will have less than 83.5 tons of coal? ode Jedanocon vebol Au oloe ( g laenuoo of el dot 92orw 191ow lsiooe s al oA.21sbnatto emod ton asob nooeg s ansem 2200ue b) What is the probability that 20 cars chosen at random will have a mean load weight i of less dedotg sni bni ts noale lle to 08 ng A nevig need 2ed opilA abnatto isegsi than 83.5 tons of coal? quo1g eaollA ai aeelonsq to 1edmun babsgke arb ai terlW (d Snoiteivsb bisbnale e sW Sansbnotto 10) Suppose x has a normal distribution with o = 6. A random sample of sizen = 16 has sample mean 50. a) Is it appropriate to use a normal distribution to compute a confidence interval for the population mean µ? Explain. b) Find a 90% confidence interval for u. c) Explain the meaning of the confidence interval you computed.
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