5. Vidiya wants to know if a machine which puts potting soil in a bag is functioning correctly. It's set up to put 30 pounds in the bag with a population standard deviation of 0.45 pounds. After weighing a sample of five bags, the average weight is 30.6 pounds. At 95%, 99%, and 99.9% confidence, what should Vidiya conclude?

6. For the previous question, what's the conclusion if the machine is new and so Vidiya must rely on the sample, not the population, for the standard deviation (the number is the same; the value is "s" instead of "")?