A manufacturer claims that the life span of its tires is 48,000 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 47,830 miles. Assume =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 47,830 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 Accurate) because the sample mean (would not would be) considered unusual since it does not lie lies within the range of a usual event, namely within of the mean of the sample means.

1 standard deviation

2 standard deviations

3 standard deviations

(c) Assuming the manufacturer's claim is true, would it be unusual to have an individual tire with a life span of 47,830 miles? Why or why not?

(No Yes) because 47,830 lies does not lie within the range of a usual event, namely within of the mean for an individual tire.(1 standard deviation 2 standard deviations 3 standard deviations)

Please show work