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Scores on the math SAT are normally distributed. A sample of 20 SAT scores had standard deviation of 87. Answer the following questions. (a) Construct a 98% confidence interval for the population standard deviation. Round your answer to the nearest thousandth. (e.g. 1.3589 would enter as 1.359) between and (b) Someone says that the scoring system for the SAT is designed so that the population standard deviation will be 100. Does this confidence interval support this claim? (input as "yes" or "no" without quotation marks.)