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 Ha: μ ≤ 40,000 D) H0: μ ≥ 40,000 Ha: 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 Ha: μ ≥ 40,000 B) H0: μ ≤ 40,000 Ha: μ > 40,000 C) H0: μ > 40,000 Ha: μ ≤ 40,000 D) H0: μ ≥ 40,000 Ha: μ < 40,000

Quizplus · Accepted Answer

The null hypothesis should state that the average life expectancy of tires produced by the Whitney Tire Company is equal to or less than 40,000 miles (H0: μ ≤ 40,000), while the alternative hypothesis should state that the average life expectancy is greater than 40,000 miles (Ha: μ > 40,000). This aligns with the management's belief that the new production process has increased the tire's life expectancy.

The Average Life Expectancy of Tires Produced by the Whitney