A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are produced. The mean weight for these 37 gems is 6.75 carats, and the sample standard deviation is 0.33 carat. Obtain a 95% confidence interval for the true mean weight of all sapphires produced by the new process. Interpret your results in the context of the problem. State the margin of er