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  3. an investigator compares the durability of two dif

An investigator compares the durability of two different compounds used in the manufacture of a certain...

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Statistics

An investigator compares the durability of two differentcompounds used in the manufacture of a certain automobile brakelining. A sample of 256 brakes using Compound 1 yields an averagebrake life of 49,386 miles. A sample of 298 brakes using Compound 2yields an average brake life of 47,480 miles. Assume that thepopulation standard deviation for Compound 1 is 1649 miles, whilethe population standard deviation for Compound 2 is 3911 miles.Determine the 95% confidence interval for the true differencebetween average lifetimes for brakes using Compound 1 and brakesusing Compound 2.

Step 1 of 3 : Find the point estimate for the true differencebetween the population means.

Step 2 of 3: Calculate the margin of error of a confidenceinterval for the difference between the two population means. Roundyour answer to sox decimal places.

Step 3 of 3: Construct the 80% confidence interval. Round youranswers to the nearest whole number.

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