(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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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