# Signifcance Level

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The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire

can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is

5,000 miles. The Crosset Truck Company bought 48 tires and found that the mean mileage for

their trucks is 59,500 miles. Is Crosset's experience different from that claimed by the manufacturer

at the .05 significance level?

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##### Solution Summary

The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire

can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is

5,000 miles. The Crosset Truck Company bought 48 tires and found that the mean mileage for

their trucks is 59,500 miles. Is Crosset's experience different from that claimed by the manufacturer

at the .05 significance level?

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we can conduct a t-test for the case:

<br>Ho: M=60000 or the mean mileage is 60,000 miles

<br>Ha: M<>60000 or the mean mileage is ...

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