TABLE 10-4
a Real Estate Company Is Interested in Testing $\overline{X}$

TABLE 10-4
A real estate company is interested in testing whether, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have. 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: $\overline{X}$ _G = 35 months, s_G² = 900 $\quad$$\quad$ Metropolis: $\overline{X}$ _M = 50 months, s_M² = 1050
-Referring to Table 10-4, suppose ? = 0.01. Which of the following represents the correct conclusion?

A) There is enough evidence that, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have.
B) There is not enough evidence that, on average, families in Gotham have been living in their current homes for less time than families in Metropolis have.
C) There is not enough evidence that, on average, families in Gotham have been living in their current homes for no less time than families in Metropolis have.
D) There is enough evidence that, on average, families in Gotham have been living in their current homes for no less time than families in Metropolis have.

Correct Answer:

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