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 $\mu$ $\ge$ 40,000 H1 is $\mu$ 40,000
B) H0 is $\mu$ = 40,000 H1 is $\mu$ 40,000
C) H0 is $\mu$ $\le$ 40,000 H1 is $\mu$ = 40,000
D) H0 is $\mu$ = 40,000 H1 is $\mu$ $\neq$ 40,000

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 $\mu$ $\ge$ 40,000 H1 is $\mu$ > 40,000
B) H0 is $\mu$ = 40,000 H1 is $\mu$ > 40,000
C) H0 is $\mu$ $\le$ 40,000 H1 is $\mu$ = 40,000
D) H0 is $\mu$ = 40,000 H1 is $\mu$ $\neq$ 40,000

Quizplus · Accepted Answer

The null hypothesis (H0) is that the mean number of miles of the rainmaker tire is equal to 40,000. The alternative hypothesis (H1) is that the mean number of miles is greater than 40,000. This is because the tire company believes that the tire actually lasts more than 40,000 miles. Therefore, the best choice is B, which states that H0 is μ = 40,000 and H1 is μ > 40,000. We will use a one-tailed t-test with a significance level of 0.05 to test the hypothesis.

One of the Major U μ\muμ ≥\ge≥ 40,000 H1 Is μ\muμ > 40,000 B) H0 Is

One of the Major U $\mu$ $\ge$ 40,000 H1 Is $\mu$ > 40,000
B) H0 Is