A statistical study of 520 high school seniors showed that they gained an average of x = 11 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation o = 40. (Round your answers to two decimal places.) (a) Find a 90% confidence interval foru based on this sample. to (b) What is the corresponding margin of error for the 90% confidence interval? (c) Suppose we had a statistical study of just 130 high school seniors. What would be the margin of error for 90% confidence interval?

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