Question

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

Answer 1

The appropriate test for the city planner's hypothesis is the matched pairs t-test (c). This test is used when comparing the means of two related groups.

Step-by-step explanation:

The appropriate test for the city planner's hypothesis is the matched pairs t-test (c). This test is used when comparing the means of two related groups, which is the case here where the city planner is comparing traffic patterns at two different intersections over time. The null hypothesis would state that there is no mean difference in the number of cars passing through the two intersections during each of the 12 time intervals.

Answer 2

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.