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.

Answer 1

Answer:

$H_{0}: \mu \leq 40,000\text{ miles}\\H_A: \mu > 40,000\text{ miles}$

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 40,000 miles

Management believes that due to a new production process, the life expectancy of their tires has increased.

We design the null and the alternate hypothesis in the following manner:

$H_{0}: \mu \leq 40,000\text{ miles}\\H_A: \mu > 40,000\text{ miles}$

The null hypothesis states before the new production process life expectancy of tires is equal to or less than 40,000 miles, while the alternate hypothesis states that after the new production process life expectancy of tires is greater than 40,000 miles.

Option D)

$H_{0}: \mu \leq 40,000\text{ miles}\\H_A: \mu > 40,000\text{ miles}$