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Each member of a random sample of 17 business economists was asked to predict the rate...

Each member of a random sample of 17 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole population of business economists follow a normal distribution with standard deviation 2.5​%.

a. The probability is 0.001 that the sample standard deviation is bigger than what​ number?

b. The probability is0.05 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 0.90

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