view Read aloud Draw D Note: Questions #13-#17 are based on the following information: The cholesterol content of large chicken eggs is normally distributed with a mean of 200 milligrams and standard deviation 15 milligrams. 13. What proportion of these eggs have cholesterol content above 205 milligrams? a) 0.2004 b) 0.6293 c) 0.7250 d) 0.3300 e) 0.3707 14. What is the probability that the mean cholesterol content of a random sample of 25 of these eggs is less than 205 milligrams? a) 0.6293 b) 0.9525 c) 0.5793 d) 1.67 e) 0.0475 15. In sixty-seven percent of the eggs, the cholesterol content is less than a certain value "C". Find the value of "C". a) 0.33 b) 206.6 c) 210 d) 0.44 e) 193.4 16. To test if the claimed 200 mg value is reasonable, a sample of 60 large eggs is analyzed. Their average cholesterol content is 196 mg. What is the P-value based on this sample? a) 0.0197 b) 0.5239 c) 0.0524 d) 0.0317 e) 0.9803 17. We wish to estimate the cholesterol content in duck eggs. How large a sample should be selected if we can assume that o-15 mg also holds for duck eggs, and we wish our estimate to be correct within 5 mg with 99% confidence? a) 8 b) 99 c) 35 d) 75 e) 60