According to the same Maclean's poll as in Exercise 11, fund owners were asked what they believe will happen to the stock market over the next year. In answer to the question, 46% stated that they believe the market will rise. Assume that this poll was conducted among 900 fund owners. Consider as unusual any result that differs from the mean by more than two standard deviations. That is, unusual values are either less than σ - 2σ or greater than µ + 2σ.
a. For such groups of 900 fund owners, find the mean and standard deviation of the number of optimistic fund holders.
b. In a group of 900 fund owners, 450 show optimism about the future of the stock market. Is this result unusual?