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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. SUVs equipped with tires using compound 1 have a mean braking distance of feet and a standard deviation of feet. SUVs equipped with tires using compound 2 have a mean braking distance of feet and a standard deviation of feet. Suppose that a sample of 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 be the true mean braking distance corresponding to compound 1 and be the true mean braking distance corresponding to compound 2. Use the level of significance.Step 3 of 4 :  Determine the decision rule for rejecting the null hypothesis . Round the numerical portion of your answer to two decimal places.

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. SUVs equipped with tires using compound 1 have a mean braking distance of feet and a standard deviation of feet. SUVs equipped with tires using compound 2 have a mean braking distance of feet and a standard deviation of feet. Suppose that a sample of 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

be the true mean braking distance corresponding to compound 1 and be the true mean braking distance corresponding to compound 2. Use the level of significance.

Step 3 of 4 :  Determine the decision rule for rejecting the null hypothesis . Round the numerical portion of your answer to two decimal places.

 
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