Use the following information to answer questions (5) - (7). A tire manufacturer has made some
modifications to its most popular tire and wants to see if the tread on the modified tire will last
longer than the original tire. Because there is much variation in the way people drive, the
manufacturer decides to use blocking to reduce this variation. Twenty cars will be used to test the
tires. Ten cars are randomly selected to receive an original tire on the right rear wheel and a
modified tire on the left rear wheel. The remaining ten cars will receive an original tire on the left
rear wheel and a modified tire on the right rear wheel. Each car will then be driven 10,000 miles and
the amount of wear recorded for each wheel.
-Which test design would be most appropriate for this scenario?
A)Two-sample t-test
B)Paired t-test
C)Two-sample z-test
D)Paired z-test

Question

Quizplus · Accepted Answer

The most appropriate test design for this scenario is a paired t-test because each car serves as its own control by having one original and one modified tire, allowing for direct comparison of the two types of tires on the same vehicle. This pairing effectively controls for variations in driving habits and conditions, which is a key aspect of the study's design.

Use the Following Information to Answer Questions (5) - (7)