A tire manufacturer would like to estimate the average tire life of its newall-season light truck tire in terms of how many miles it lasts. Determine the sample size needed to construct a 99% confidence interval with a margin of error equal to 2,700 miles. Assume the standard deviation for the tire life of this particular brand is 7,000 miles.

The sample size needed is

nothing

.

(Round up to the nearestinteger.)