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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 96600 km. The population standard deviation of the mileage is 8050 km. The Crosset Truck Company bought 48 tires and found that the mean mileage for its trucks is 95 795 km. Is Crosset’s experience different from that claimed by the manufacturer at the 0.05 level of significance.

(a) State the null hypothesis and the alternative hypothesis.

(b) State the decision rule.

(c) Compute the value of the test statistic.

(d) What is your decision regarding H_{0}?

(e) What is the p-value? Interpret it.

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