TABLE 8-2 A Wealthy Real Estate Investor Wants to Decide Whether It

question 200

Short Answer

TABLE 8-2
A wealthy real estate investor wants to decide whether it is a good investment to build a high-end shopping complex in a suburban county near Chicago. His main concern is the total market value of the 3,605 houses in the suburban county. He commissioned a statistical consulting group to take a sample of 200 houses and obtained a sample mean market price of $225,000 and a sample standard deviation of $38,700. The consulting group also found out that the mean differences between market prices and appraised prices was $125,000 with a standard deviation of $3,400. Also the proportion of houses in the sample that are appraised for higher than the market prices is 0.24.
-Referring to Table 8-2, if the investor wants a 95% confidence on estimating the true population mean market price of the houses in the suburban county to be within $10,000, how large a sample will he need?

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Definitions:

Population Proportions

The ratio of a particular group within a population to the entire population.

Worker Safety

This term refers to the protocols, practices, and measures implemented to ensure the physical and psychological welfare of workers in their workplace.

OSHA

The Occupational Safety and Health Administration is an agency of the U.S. government tasked with maintaining safe and healthy conditions in workplaces.

Two-tail Test

A statistical hypothesis test in which the critical area of a distribution is two-sided and tests whether a sample is greater or less than a range of values.