(a) If a random sample of 50 one-bedroom apartments is selected, what is the probability that the sample mean of monthly rent will be less $2100? (b) If a random sample of 15 one-bedroom apartments is selected, what is the probability that the sample mean of monthly rent will be between $ 2150 and $ 2300?

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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In a certain metropolitan city, the monthly rent for a one-bedroom apartment has a mean of
$2200 and a standard deviation of $250. Assume the distribution of the monthly rent follows the
normal probability distribution.
(a) If a random sample of 50 one-bedroom apartments is selected, what is the probability that
the sample mean of monthly rent will be less $2100?
(b) If a random sample of 15 one-bedroom apartments is selected, what is the probability that the
sample mean of monthly rent will be between $ 2150 and $ 2300?
Transcribed Image Text:In a certain metropolitan city, the monthly rent for a one-bedroom apartment has a mean of $2200 and a standard deviation of $250. Assume the distribution of the monthly rent follows the normal probability distribution. (a) If a random sample of 50 one-bedroom apartments is selected, what is the probability that the sample mean of monthly rent will be less $2100? (b) If a random sample of 15 one-bedroom apartments is selected, what is the probability that the sample mean of monthly rent will be between $ 2150 and $ 2300?
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