9. How accurate are street parking meters? In response to recent complaints that the meters give less than 60 minutes of parking for a 60-minute parking, an independent engineering firm was hired to investigate the claim. The firm parked a vehicle for 60 minutes at each of 40 randomly selected locations and recorded the exact time it took for each meter to expire. The firm determined that the sample mean was 59.8 minutes; from past records, the standard deviation was 2.7 minutes.

a)State the null and alternative hypotheses to verify the parking meter complaints. Make sure that your answer includes a description of the parameter of interest.

b)Explain what an error of Type I would mean in this investigation.

c)Is there sufficient evidence from the firm's study that parking-metre complaints are justified? Note: make sure that your answer includes a value for the test statistic and a p-value to support your conclusion. Assume the level of significance is 5%.