A manufacturer claims that the life span of its tires is 51 comma 000

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

100 tires at random and test them. The mean life span is 50 comma 879

50,879 miles. Assume sigma

?equals

=700

700. Complete parts?(a) through?(c).

A manufacturer claims that the life span of its res is 51 rBill!) miles. You work for a consumer protection agency and you are tesng these res. Assume the life spans oi 'Ie res are normally distributed. You select 10!] res at random and test 'Iem. The mean life span is EELS?!) miles. Assume c = TOD. Complete parts {a} through {c}. {a} Assuming the manufacturer's claim is con'ect, what is the probability that the mean of the sample is 50,879 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 1 because the sample mean |:| be considered unusual since it |:| within the range ofa usual eyentI namely within ofthe mean of the sample means. (c) Assuming the manufacturer's claim is ne, would it be unusual to have an individual tire with a life span of 5D.379 miles? Why or why not? El. because 50,3?9 El within the range ofa usual event. namely within |:| of the mean for an individual re