A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.9 seconds. A random sample of 22 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At $\alpha=0.05$ is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
(a) Identify the claim and state $\mathrm{H}_{0}$ and $\mathrm{H}_{\mathrm{a}}$.
(Type integers or decimals. Do not round.)
The claim is the $\nabla$ hypothesis.

Step 1 ：The claim is that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.9 seconds. This is our alternative hypothesis. The null hypothesis, therefore, would be that the mean minimum time it takes for a sedan to travel a quarter mile is less than or equal to 14.9 seconds.

Step 2 ：The null hypothesis, H0, is that the mean minimum time it takes for a sedan to travel a quarter mile is less than or equal to 14.9 seconds. The alternative hypothesis, Ha, is that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.9 seconds.

Step 3 ：Final Answer: \(\boxed{H_{0}: \mu \leq 14.9, H_{a}: \mu > 14.9}\)