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1. A tire manufacturer wishes to test a sample of its best-selling tire for average

lifetime mileage. When the manufacturing process is operating properly, the

standard deviation of the mileage is known to be = 2,500. An SRS of 100 tires

is selected and is found to have mean mileage x

= 59,500. You wish to construct

a 95% confidence interval for .

A. Identify , the parameter about which we want to draw conclusions. (6

points)

B. Verify that the necessary conditions exist for construction of a confidence

interval. (4 points)

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