(See Solution) A mathematics test of 100 multiple choice questions is to be given to all freshmen entering a large university. Initially in a pilot study,
Question: A mathematics test of 100 multiple choice questions is to be given to all freshmen entering a large university. Initially in a pilot study, the test was given to a random sample of 20 students. Suppose that, for the population of entering freshmen, the distribution of number of correct answers would be normal with variance 250.
- What is the probability that the sample variance would be less than 100?
- What is the probability that the sample variance would be less than 500?
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