A pizza house is considering offering the following special: "Pizza delivered in less than 30 minutes or the pizza is free." Based on a random sample of 40 delivery times, the manager learns that there is 99% probability that the true mean delivery time is less than 30 minutes. The manufacturer concludes that since 99% of pizzas are delivered in under 30 minutes, it will be safe to go ahead with the special offer. Is the manager's interpretation correct? Why or why not?