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.
$$\text { Gotham: } \bar{X} _ { G } = 35 \text { months, } s g ^ { 2 } = 900 \quad \text { Metropolis: } \bar{X} _ { M } = 50 \text { months, } \mathrm { sm } ^ { 2 } = 1050$$
-Referring to Table 10-4, suppose ? = 0.1. Which of the following represents the correct conclusion?
A) 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.
B) 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.
C) 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.
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.

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.
 $$\text { Gotham: } \bar{X} _ { G } = 35 \text { months, } s g ^ { 2 } = 900 \quad \text { Metropolis: } \bar{X} _ { M } = 50 \text { months, } \mathrm { sm } ^ { 2 } = 1050$$
-Referring to Table 10-4, suppose ? = 0.1. Which of the following represents the correct conclusion?
A) 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.
B) 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.
C) 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.
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.

Quizplus · Accepted Answer

The p-value for this test is less than 0.1, so we reject the null hypothesis and conclude that 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.

TABLE 10-4 a Real Estate Company Is Interested in Testing

TABLE 10-4
a Real Estate Company Is Interested in Testing