Please help me with the correct statement for part "b" of the problem. The statement I have there wrong.

A manufacturer claims that the life span of its tires is 47,000 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 46,855 miles. Assume o = 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 46,855 miles or less? 0.0192 (Round to four decimal places as needed.) (b) Using your answer from part (a), what do you think of the manufacturer's claim? The claim is accurate because the sample mean would not be considered unusual since it lies within the range of a usual event, namely within 1 standard deviation of the mean of the sample means