A manufacturer claims that life span of its life span of its tires 52,000 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 at random and test them. The life span is 15,816 miles Assume = 800. Assuming themanufacturer's claim iscorrect, what is the probability that the mean of the sample is 51,816 miles or less