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(c) If the condence levels were 99.8% rather than 90%, Iwould the margin of error be larger or smaller than the result in part (a)? Explain. The margin of error would be {Choose one) Y , since {Choose one) Y in the condence level will (Choose one) if the critical value 2\"\". (d} Based on the the condence interval constructed in part (a), is it likely that the mean mathematics SAT score for the entering freshman class is greater than 421'? It (Choose one) I likely that the mean mathematics SAT score for the entering freshman class is greater than 421. SAT scores: A college admissions ofcer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 449. Assume the population standard deviation is o = 118. (a) Construct a 90% condence interval for the mean mathematics SAT score for the entering freshman class. Round the answer to the nearest whole number. A 90% condence interval for the mean mathematics SAT score is E]