manufacturer claims that the life span of its tires is 51,000 miles. You work for a consumer protection agency and you are testing these tires. Assume the life spans of the tires are normally distributed. You select 100 tires at random and test them. The mean life span is 50,836 miles. Assume =800.

Assuming the manufacturer's claim is correct, what is the probability that the mean of the sample is 50,836

miles or less?

(Round to four decimal places as needed.)