The U.S. Census Bureau announced that the mean sale price of new houses sold in 2011 was $267,900. Assume that the standard deviation of the prices is $90,000. (a) If you select a random sample of n = 100, what is the probability that the sample mean will be less than $300,000? (b) If you select a random sample of n = 100, what is the probability that the sample mean will be between $275,000 and $290,000? (c) Between what two values symmetrically distributed around the mean are 80% of the sample mean home prices, when n = 100

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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The U.S. Census Bureau announced that the mean sale price of new houses sold in 2011 was $267,900.  Assume that the standard deviation of the prices is $90,000.

(a) If you select a random sample of n = 100, what is the probability that the sample mean will be less than $300,000?

(b) If you select a random sample of n = 100, what is the probability that the sample mean will be between $275,000 and $290,000?

(c) Between what two values symmetrically distributed around the mean are 80% of the sample mean home prices, when n = 100? 

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