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 50 feet, with a population standard deviation of 12.4. The mean braking distance for SUVs equipped with tires made with compound 2 is 54 feet, with a population standard deviation of 13.0. Suppose that a sample of 71 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 0.1 level of significance. Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to four decimal places.

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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 50 feet, with a population standard deviation of 12.4. The mean braking distance for SUVs equipped with tires made with compound 2 is 54 feet, with a population standard deviation of 13.0. Suppose that a sample of 71 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 μ2 be the true mean braking distance corresponding to compound 2. Use the 0.1 level of significance.

Step 3 of 5 :  

Find the p-value associated with the test statistic. Round your answer to four decimal

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 50 feet, with a population standard deviation of 12.4.
The mean braking distance for SUVs equipped with tires made with compound 2 is 54 feet, with a
population standard deviation of 13.0. Suppose that a sample of 71 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 µ₂ be the true mean braking distance
corresponding to compound 2. Use the 0.1 level of significance.
Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to four decimal
places.
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 50 feet, with a population standard deviation of 12.4. The mean braking distance for SUVs equipped with tires made with compound 2 is 54 feet, with a population standard deviation of 13.0. Suppose that a sample of 71 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 µ₂ be the true mean braking distance corresponding to compound 2. Use the 0.1 level of significance. Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to four decimal places.
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