Find the probability the mean of the sample

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A manufacturer claims that the life span of its tires is 51,000 miles. You work for a consumer 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 50,767 miles Assume o= 700

A) assuming the manufacturer's claim is correct, what is the probability the mean of the sample is 50767 miles or less?

B)Using your answer from part (a) what do you think of the manufacturer's claim?
The claim is = ___ because the sample mean is =____ because it = within = of the mean of the sample mean.

C)Would it be unusual to have an individual tire with a lifespan of 50,767 miles? Why or why not? Assuming the manufacturer ‘s claim is true, because 50,767= within = of the mean for an individual tire.

 

Reference no: EM13112623

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