A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 23 sedans has a mean minimum time to travel a quarter...

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 23 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.11 seconds. At α=0.01 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 H0 and Ha.

The claim is  the _____ hypothesis

(b) use technology to find the P value. Find the standardized test statistic, t.

t=______

Obtain the P value

P=_______

(c)Decide whether to reject or fail to reject the null hypothesis:

(d) Interpret the decision in the context of the original claim: