1. A department of motor vehicles office claims that the mean wait time is less than 14 minutes. A random sample of 10 people has a mean wait time of 13 minutes with a standard deviation of 3.5 minutes. At a = 0.10, test the office’s claim. Assume the population is normally distributed.

2. Another department of motor vehicles office claims that the mean wait time is at most 18 minutes. A random sample of 12 people has a mean wait time of 15 minutes with a standard deviation of 2.2 minutes. At a = 0.05, test the office’s claim. Assume the population is normally distributed.

a. Identify the claim and state H0 and Ha.

b. Use technology to find the P@ value.

c. Compare the P@ value with the level of significance a and make a decision.

d. Interpret the decision in the context of the original claim.