Question Help A manufacturer claims that the life span of its tires is 52,000 mi

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Question Help 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 lfe spans of the tires are normally distributed. You select 100 tires at random and test them. The mean life span is 51,821 miles. Assume a 800. Complete parts (a) through (c). (a) Assuming the manufacturer's claim is correct, what is the probability that the mean of the sample is 51,821 miles or less? 0.0126 (Round to four decimal places as needed) (b) Using your answer from part (a), what do you think of the manufacturer's claim? within the range of a usual event, namely within The claim is inaccurate because the sample mean would 2 standard deviations of the mean of the sample means be considered unusual since it lies

Explanation / Answer

the event is considered unusual if it is less than 5%

Here we get probability as 0.0126 which means 1.26%

since 1.26% is less than 5%,so this event is unusual event

Hence,The claim is inaccurate because the sample mean would be considered unusual since it doesnot lie within the range of usual event,namely within 2 standard deviations of the mean of the sample means

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