7. The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? a. More than 60 pounds b. More than 58 pounds c. Between 56 and 57 pounds d. Less than 55 pounds e. Less than 50 pounds

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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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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7. The Aluminum Association reports that the average American uses 56.8 pounds
of aluminum in a year. A random sample of 51 households is monitored for one
year to determine aluminum usage. If the population standard deviation of annual
usage is 12.3 pounds, what is the probability that the sample mean will be each
of the following?
a. More than 60 pounds
b. More than 58 pounds
c. Between 56 and 57 pounds
d. Less than 55 pounds
e. Less than 50 pounds
Transcribed Image Text:7. The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? a. More than 60 pounds b. More than 58 pounds c. Between 56 and 57 pounds d. Less than 55 pounds e. Less than 50 pounds
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