A random sample of 10 stock market mutual funds was taken. Suppose that rates of returns on the population of all stock market mutual funds follow a normal distribution.
a. The probability is 0.10 that sample variance is greater than what percentage of the population variance?
b. Find any pair of numbers, a and b, to complete the following sentence: The probability is 0.95 that the sample variance is between a% and b% of the population variance.
c. Suppose that a sample of 20 mutual funds had been taken. Without doing the calculations, indicate how this would change your answer to part (b).