A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean speed of 48 miles per hour and a standard deviation of 5.4 miles per hour. At α = 0.10, do you have enough evidence to support the county’s claim?

(a) Identify the claim and state H₀ and H_a,

(b) Use technology to find the P-value,

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

(d) Interpret the decision in the context of the original claim. Assume the population is normally distributed.