A sample of 15 students was used to estimate the performance of graduates of a certain college on a standardized test taken by all the students of the college. It was found that the sample average score of these 15 students on the test was 85 with a sample standard deviation of 15. What would be the 95% confidence interval for the average score of the whole college population? If instead, it is known that this sample of 15 students was taken only from a specific section of a class containing 30 students, what would be the 95% confidence interval for the average score of this class on this test?

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