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

question 74

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, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.05?

• A) t \(\cong\) Z = -1.645
• B) t \(\cong\) Z = ±1.96
• C) t \(\cong\) Z = -1.96
• D) t \(\cong\) Z = -2.080

---

Definitions:

Phenotype

The set of observable characteristics or traits of an organism that result from the interaction of its genotype with the environment.

Morphological Structure

The form and structure of organisms or specific structures of an organism.

Polyphenism

A trait for which multiple, discrete phenotypes can arise from a single genotype, depending on environmental circumstances.

Environmental Cue

A signal from the environment that triggers a physiological or behavioral response in an organism.