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 G 2 = 900 $\quad $ $\quad $Metropolis: $\overline{X}$ M = 50 months, s M 2 = 1050
-Referring to Table 10-4, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.01?
A) t ? Z = ±1.96
B) t ? Z = - 1.96
C) t ? Z = - 2.080
D) t ? Z = - 2.33

Question

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 G 2  = 900  $\quad $ $\quad $Metropolis:  $\overline{X}$ M = 50 months, s M 2 = 1050
-Referring to Table 10-4, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.01?
A) t ? Z = ±1.96
B) t ? Z = - 1.96
C) t ? Z = - 2.080
D) t ? Z = - 2.33

Quizplus · Accepted Answer

Since the sample sizes are greater than 30 for both samples, we can use a z-test. The level of significance is 0.01, which corresponds to a critical value of ±2.33 for a two-tailed test. Therefore, the answer is D.

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

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