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 is 7070 feet, with a population standard deviation of 11.611.6. The mean braking distance for SUVs equipped with tires made with compound 2 is 7777 feet, with a population standard deviation of 9.89.8. Suppose that a sample of 3535 braking 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 11 be the true mean braking distance corresponding to compound 1 and 22 be the true mean braking distance corresponding to compound 2. Use the 0.050.05 level of significance.

Step1of5:

State the null and alternative hypotheses for the test.