A manufacturer claims that the life span of its tires is 53,000 miles. You work

Question

A manufacturer claims that the life span of its tires is 53,000 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 52.828 miles. Assume : 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 52,828 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 because the sample mean of the mean of the sample means. | be considered unusual since it within the range of a usual event, namely within (c) Assuming the manufacturer's claim is true, would it be unusual to have an individual tire with a life span of 52,828 miles? Why or why not? I, because 52,828 within the range of a usual event, namely within | of the mean for an individual tire.

Explanation / Answer

a)

* please try 0.0069 if above does not work due to rounding)

b)

the claim is wrong becuase......mean is to be considered unusual since it does not fall with in...............within 2 standard deviation of mean of the.........

c) No ; becuase 52828 falls with in the ............within  2 standard deviation of mean

here mean=       = 53000.000 std deviation   == 700 sample size       =n= 100 std error=x=/n= 70.0000 probability = P(X<52828) = P(Z<-2.46)= 0.0070

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