Question

a car leasing firms records indicate that the mean number of miles driven annually in its cars has been about 13,500 miles. the firm suspects that this number has decreased this past year. suppose that the firm wishes to choose a small sample of driving distances from the past year and carry out a hypothesis test for its suspicion. state the null hypothesis $h_0$ and the alternative hypothesis $h_1$ that it would use for this test.
$h_0$:
$h_1$:

Explanation:

Step1: Define null hypothesis

The null hypothesis $H_0$ is a statement of no - effect or no - change. Here, it assumes the mean number of miles driven annually has not decreased. So, $H_0:\mu\geq13500$.

Step2: Define alternative hypothesis

The alternative hypothesis $H_1$ is what the firm suspects. Since the firm suspects the mean has decreased, $H_1:\mu < 13500$.

Answer:

$H_0:\mu\geq13500$
$H_1:\mu < 13500$