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 its tires has increased.In order to convince others of the validity of management's belief, the correct set of hypotheses is A)H₀: $\mu$ 40,000 C)H₀: $\mu$ 40,000; H_a: $\mu$ $\le$ 40,000 D)H₀: $\mu$ $\ge$ 40,000; H_a: $\mu$

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 its tires has increased.In order to convince others of the validity of management's belief, the correct set of hypotheses is A)H₀: $\mu$< 40,000; H_a: $\mu$ $\ge$ 40,000 B)H₀: $\mu$ $\le$ 40,000; H_a: $\mu$ > 40,000 C)H₀: $\mu$ > 40,000; H_a: $\mu$ $\le$ 40,000 D)H₀: $\mu$ $\ge$ 40,000; H_a: $\mu$ < 40,000 E)H₀: $\mu$ = 40,000; H_a: $\mu$ ≠ 40,000

Quizplus · Accepted Answer

The correct set of hypotheses to test if the life expectancy of tires has increased is: Null hypothesis (H0): μ ≤ 40,000 (the life expectancy is less than or equal to 40,000 miles), and Alternative hypothesis (Ha): μ > 40,000 (the life expectancy is greater than 40,000 miles). This setup allows for testing if the new production process has indeed increased the life expectancy beyond the previous average.

The Average Life Expectancy of Tires Produced by the Whitney μ\muμ

The Average Life Expectancy of Tires Produced by the Whitney $\mu$