One of the major U.S. tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample 49 tires revealed that the mean number of miles is 45,000 miles with a standard deviation of 15,000 miles. Test the hypothesis with a 0.05 significance level.
A) H0 is μ ≥ 40,000 H1 is μ 40,000
B) H0 is μ = 40,000 H1 is μ 40,000
C) H0 is μ ≤ 40,000 H1 is μ = 40,000
D) H0 is μ = 40,000 H1 is μ ≠ 40,000
E) None of these is correct.

Question

One of the major U.S. tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample 49 tires revealed that the mean number of miles is 45,000 miles with a standard deviation of 15,000 miles. Test the hypothesis with a 0.05 significance level.
A) H0 is μ ≥ 40,000 H1 is μ > 40,000
B) H0 is μ = 40,000 H1 is μ > 40,000
C) H0 is μ ≤ 40,000 H1 is μ = 40,000
D) H0 is μ = 40,000 H1 is μ ≠ 40,000
E) None of these is correct.

Quizplus · Accepted Answer

The null hypothesis (H0) should state that the mean is equal to the warranty mileage (40,000 miles), and the alternative hypothesis (H1) should state that the mean is greater than 40,000 miles, as the company believes the tire lasts more than 40,000 miles.

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