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Each member of a random sample of 16 business economists was asked to predict the rate of ination for the coming year. Assume that the predictions for the whole population of business economists follow a normal dishibution with standard deviation 2.5%. a. The probability is 0.10 that the sample standard deviation is bigger than what number? b. The probability is 0.025 that the sample standard deviation is less than what number? c Find any pair of numbers such that the probability that the sample standard deviation that lies between these numbers is 0.99. a Click the icon to View a table of lower critical values for the chi-square distribution. a Click the icon to View a table of upper critical values for the chisquare distn'bution. a. The probability that the sample standard deviation is bigger than \"it: is 0.10. (Round to two decimal places as needed.)