14. A new process for producing synthetic gems yielded six randomly selected stones weighing 0.43, 0.52, 0.46, 0.49, 0.60, 0.56 carats in its first run of 2000 gems. Assume the standard deviation of all of the synthetic gems in this process is 0.07, and that the population of all gems produced is approximately Normal. (5 Points) The owner of the company has made the statement that the mean carat weight of the synthetic gems created by this new process is 0.75 carats. Use your result from #13 to comment on this claim. Enter your answer 15. In a large community, 64% of a sample of 120 randomly selected residents said they identified as Democrats. Is it safe to say the majority of residents in this community are Democrats? (5 Points) If the confidence interval for problem was (0.333,0.444) give a complete interpretation of this interval in the context of the story. Enter your