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

question 80

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 $\alpha$ = 0.05.Which of the following represents the result of the relevant hypothesis test?

• A) The alternative hypothesis is rejected.
• B) The null hypothesis is rejected.
• C) The null hypothesis is not rejected.
• D) Insufficient information exists on which to make a decision.

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Definitions:

Gross Method

An accounting method for recording purchases at the gross invoice amount before deducting any cash discounts.

Defective Merchandise

Products that are found to have flaws or faults which impair their functionality, appearance, or intended use.

Periodic Inventory System

An inventory system that updates inventory and cost of goods sold records at the end of an accounting period.