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 72 feet, with a population standard deviation of 10.6. The mean braking distance for SUVS equipped with tires made with compound 2 is 74 feet, with a population standard deviation of 12.3. Suppose that a sample of 38 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 μ₁ be the true mean braking distance corresponding to compound 1 and ₂ be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 1 of 5: State the null and alternative hypotheses for the test.

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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 72 feet, with a population standard deviation of 10.6. The mean braking distance for
SUVS equipped with tires made with compound 2 is 74 feet, with a population standard deviation of 12.3. Suppose that a sample of 38 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 μ₁ be the true mean braking distance corresponding to compound 1 and ₂ be the true mean braking distance corresponding to compound 2.
Use the 0.05 level of significance.
Step 1 of 5: State the null and alternative hypotheses for the test.
Transcribed Image Text: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 72 feet, with a population standard deviation of 10.6. The mean braking distance for SUVS equipped with tires made with compound 2 is 74 feet, with a population standard deviation of 12.3. Suppose that a sample of 38 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 μ₁ be the true mean braking distance corresponding to compound 1 and ₂ be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 1 of 5: State the null and alternative hypotheses for the test.
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