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 60000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distribution is 5000 miles. Crosset truck company bought 48 tires and found that the mean mileage for its trucks is 59500. Is Crossset's experience different from that claimed by the manufacturer at the .05 significant level?

i. State the null hypothesis and alternate hypothesis

ii. State the decision rule.

iii. Compute the value of the test statistic

iv. what is your decision regarding Ho?

v. what is the p-value? Interpret it.