TABLE 10-3
a Real Estate Company Is Interested in Testing $\bar{X}$

question 31

Multiple Choice

TABLE 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: $\bar{X}$ 1 G = 35 months, SG² = 900 Metropolis: $\bar{X}$ M = 50 months, SM² = 1050
-Referring to Table 10-3, which of the following represents the relevant hypotheses tested by the real estate company?

• A) H₀: μG - μM ≥ 0 versus H₁: μG - μM < 0
• B) H₀: μG - μM ≤ 0 versus H₁: μG - μM > 0
• C) H₀: μG - μM = 0 versus H₁: μG - μM ≠ 0
• D) \( \bar{X}_{G}-\bar{X}_{M} \geq 0 \) versus \( H_{1}: \bar{X}_{G}-\bar{X}_{M}<0 \)

---

Definitions:

Government Aid

Financial assistance or other resources provided by the government to individuals, organizations, or countries in need.

Profit-Making Organizations

Entities that operate with the primary goal of earning revenue in excess of their operational costs.

Private Non-Profit Agencies

Organizations that operate independently from government control, not seeking to generate profits for owners or shareholders, and often focused on serving social or community-based causes.

Discretionary Funds

Money available for spending and investment that is not earmarked for specific obligations.