Instruction 10-4
a Real Estate Company Is Interested in Testing $\quad \bar { X } _ { \mathrm { G } } = 35$

question 72

Multiple Choice

Instruction 10-4
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: $\quad \bar { X } _ { \mathrm { G } } = 35$ months, $\quad S _ { \mathrm { G } } ^ { }² = 900$
Metropolis: $\quad \bar { X } _ { M } = 50$ months, $\quad S _ { M ^ { 2 } } = 1,050$
-Referring to Instruction 10-4,suppose ? = 0.01.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:

Compounded Annually

A method of calculating interest in which the interest earned each year is added to the principal, so that the balance doesn't merely grow, it grows at an increasing rate.

Present Value

The present value of a future amount of money or sequence of cash flows, based on a certain rate of return.

Notes Payable

Short or long-term financial obligations evidenced by promissory notes, requiring the borrower to repay the principal amount along with any accrued interest.

Market Interest Rate

The prevailing rate of interest available in the marketplace for securities of similar risk and maturity.