A manufacturer claims that the life span of its tires

is 51,000 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 50,882 miles. Assume σ =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 50,882 miles or​ less?

​(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 50,882 ​miles? Why or why​ not? No or Yes because 50,882 ▼

 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.

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