The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles.Management believes that due to a new production process, the life expectancy of their tires has increased.In order to test the validity of their belief, the correct set of hypotheses is A) H₀: μ 40,000. C) H₀: μ 40,000 H_a: μ 40,000. D) H₀: μ 40,000 H_a: μ

Question

The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles.Management believes that due to a new production process, the life expectancy of their tires has increased.In order to test the validity of their belief, the correct set of hypotheses is A) H₀: μ < 40,000 H_a: μ 40,000. B) H₀: μ 40,000 H_a: μ > 40,000. C) H₀: μ > 40,000 H_a: μ 40,000. D) H₀: μ 40,000 H_a: μ < 40,000.

Quizplus · Accepted Answer

The null hypothesis should always state that there is no significant difference or change, while the alternative hypothesis should state that there is a significant difference or change. From the given information, Whitney Tire Company believes that the life expectancy of their tires has increased. Thus, the null hypothesis should state that the mean life expectancy is not greater than 40,000 miles, while the alternative hypothesis should state that the mean life expectancy is greater than 40,000 miles. Therefore, choice B is the correct set of hypotheses.

The Average Life Expectancy of Tires Produced by the Whitney