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Statistics: Sampling Distribution of Tire Life Span

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A manufacturer claims that the life span of its tires is 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 tires at random and test them. The mean life span is 51,853 miles. Assume = 700. Assuming the manufacturer's claim is correct, what is the probability that the mean of the sample is 51,853 miles or less?

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The expert examines sampling distribution of a tire life span.

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Let X be the life span of tires. ...

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