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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 freshmen. Suppose that, for the population of all entering freshmen, the distribution of the number of correct answers would be normal with a variance of 250.

What is the probability that the sample variance would be less than 100?

What is the probability that the sample variance would be more than 500?

Solution

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Answered 1 year ago

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1 of 6The distribution of the number of correct answers is normal with a variance of $\sigma^2=250$. The size of the random sample is $n=20$.

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