Instruction 10-3
a Real Estate Company Is Interested in Testing $\quad \bar { X } _ { G } = 35$

question 67

Multiple Choice

Instruction 10-3
A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.
Gotham: $\quad \bar { X } _ { G } = 35$ months, $S _ { G } { } ^ { 2 } = 900$
Metropolis: $\quad \bar { X } _ { M } = 50$ months, $\quad S _ { M ^ { 2 } } = 1,050$
-Referring to Instruction 10-3,suppose $\alpha$ = 0.01.Which of the following represents the correct conclusion?

• A) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
• B) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
• C) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
• D) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.

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Definitions:

Equilibrium Quantity

The quantity of goods or services that is supplied and demanded at the market equilibrium price.

Producer Surplus

The difference between the amount a producer is willing to accept for a good or service and the actual amount received by them when the good or service is sold.

Total Surplus

A combination of consumer and producer surplus that signifies the overall net advantage to society from the consumption and production of a good or service.

International Trade

involves the exchange of goods and services across international borders or territories.