A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. The mean braking distance for SUVs equipped with tires made with compound 1 is40

40feet, with a population standard deviation of12.2

12.2. The mean braking distance for SUVs equipped with tires made with compound 2 is45

45feet, with a population standard deviation of7.1

7.1. Suppose that a sample of59

59braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let

1

1be the true mean braking distance corresponding to compound 1 and

2

2be the true mean braking distance corresponding to compound 2. Use the0.05

0.05level of significance.

Step 1 of 4:State the null and alternative hypotheses for the test.