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ider a random sample of 16 trucks. What is the probability that the sample mean processing time is between 9 and 15 min? is the probability in (b) much larger than the probability in (a)? mean is µ = 12. A sample mean X based on n = 16 observations is likely to be --Select-- H. the true mean than is a single observation X. That is becaus is the probability that the sample mean processing time for a random sample of 16 trucks will be at least 21 min?

ider a random sample of 16 trucks. What is the probability that the sample mean processing time is between 9 and 15 min? is the probability in (b) much larger than the probability in (a)? mean is µ = 12. A sample mean X based on n = 16 observations is likely to be --Select-- H. the true mean than is a single observation X. That is becaus is the probability that the sample mean processing time for a random sample of 16 trucks will be at least 21 min?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Garbage trucks entering a particular waste-management facility are weighed prior to offloading their contents. Let X = the total processing time for a randomly selected truck at this facility (waiting, weighing, and offloading). An article suggests the plausibility of a normal distribution with mean 12 min and standard deviation 4 min for X. Assume that this is in fact the correct distribution. (Round your answers to four decimal places.) USE SALT (a) What is the probability that a single truck's processing time is between 9 and 15 min? (b) Consider a random sample of 16 trucks. What is the probability that the sample mean processing time is between 9 and 15 min? (c) Why is the probability in (b) much larger than the probability in (a)? The mean is μ = 12. A sample mean X based on n = 16 observations is likely to be ---Select---✔ the true mean than is a single observation X. That is because, while both are "centered" at u, the --Select-- variability in X gives it ---Select---✔ability to vary significantly from . (d) What is the probability that the sample mean processing time for a random sample of 16 trucks will be at least 21 min? You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Garbage trucks entering a particular waste-management facility are weighed prior to offloading their contents. Let X = the total processing time for a randomly selected truck at this facility (waiting, weighing, and offloading). An article suggests the plausibility of a normal distribution with mean 12 min and standard deviation 4 min for X. Assume that this is in fact the correct distribution. (Round your answers to four decimal places.) USE SALT (a) What is the probability that a single truck's processing time is between 9 and 15 min? (b) Consider a random sample of 16 trucks. What is the probability that the sample mean processing time is between 9 and 15 min? (c) Why is the probability in (b) much larger than the probability in (a)? The mean is μ = 12. A sample mean X based on n = 16 observations is likely to be ---Select---✔ the true mean than is a single observation X. That is because, while both are "centered" at u, the --Select-- variability in X gives it ---Select---✔ability to vary significantly from . (d) What is the probability that the sample mean processing time for a random sample of 16 trucks will be at least 21 min? You may need to use the appropriate table in the Appendix of Tables to answer this question.
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