A manufacturer claims that the life span of its tires

is

53,000 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

100 tires at random and test them. The mean life span is 52,895 miles. Assume σ=700

700. Complete parts​ (a) through​ (c).

​(a) Assuming the​ manufacturer’s claim is​ correct, what is the probability that the mean of the sample is 52,895

52,895 miles or​ less?

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