A consumer group claims that the mean acceleration time from 0 to 60 miles per hour for all 3-cylinder vehicles is 9.4 seconds. A random sample of 33 3-cylinder vehicles has a mean acceleration time from 0 to 60 miles per hour of 10.2 seconds. Assume the population standard deviation is 2.3 seconds.

At a = 0.05, can you reject the claim?

(a) identify the claim and state \(H_{0}\) and \(H_{a}\).

(b) find the standardized test statistic \(z\).

(c) find the corresponding \(P\)-value.

(d) decide whether to reject or fail to reject the null hypothesis.

(e) interpret the decision in the context of the original claim.