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# A manufacturer claims that the life span of its tires is 49,000 miles. You work for a consumer protection agency and you are testing these tires.

A manufacturer claims that the life span of its tires is 49,000 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 48,702 miles. Assume 0-=900. Complete parts (a) through (c).

(A) Assuming the manufacturer's claim is correct, what is the probability that the mean of the sample is 48,702 miles or less? (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 **inaccurate** or **accurate** because the sample mean **would not** or **would **be considered unusual since it **does not lie **or **lies **within the range of a usual event, namely within **1 standard deviation or 2 standard deviations or 3 standard deviations **of the mean of the sample means.

(C) Assuming the manufacturer's claim is true, would it be unusual to have an individual tire with a life span of 48,702 miles? Why or why not?

**Yes or No, **because 48,702 **does not lie or lies **within the range of a usual event, namely within **1 standard deviation or 2 standard deviations or 3 standard deviations **of the mean for an individual tire.