A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6 am and 10 pm, and he and his assistant count the number of cars passing through each intersection during the 10-minute interval that begins at that time. He plans to test the hypothesis that the mean difference in the number of cars passing through the two intersections during each of those 12 times intervals is 0. Which of the following is appropriate test of the city planner's hypothesis?

(a) Two-proportion z-test

(b) Two-sample z-test

(c) Matched pairs t-test

(d) Two proportion t-test

(e) Two-sample t-test

Question

Mathematics

Leah Galloway

4 January, 13:51

A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6 am and 10 pm, and he and his assistant count the number of cars passing through each intersection during the 10-minute interval that begins at that time. He plans to test the hypothesis that the mean difference in the number of cars passing through the two intersections during each of those 12 times intervals is 0. Which of the following is appropriate test of the city planner's hypothesis?

(a) Two-proportion z-test

(b) Two-sample z-test

(c) Matched pairs t-test

(d) Two proportion t-test

(e) Two-sample t-test

+2

Answers (1)

Know the Answer?

Nehemiah Hobbs · Answer 1

Option C

Step-by-step explanation:

The appropriate test of the city planner's hypothesis is the matched pairs t-test. This test is appropriate because it is used to test whether there is a significant mean difference between two sets of paired data. Paired means that both samples consist of the same test subjects.