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A tire manufacturer would like to estimate the average tire life of its new season light truck tire in terms of how many it lasts.

A tire manufacturer would like to estimate the average tire life of its new season light truck tire in terms of how many it lasts. Determine the sample size needed to construct a 99% confidence interval with a margin of error to 2,000 miles. Assume the standard deviation for the tire life of this particular brand is 8,000 miles.

The sample size needed is _____.

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