QUESTION 1 A group of 64 randomly selected students, from all MTH213 sections at Zayed University, has a sample mean score of 74 with a sample standard deviation of 4 on a Midterm Exam. (a) Construct a 99% confidence interval for the mean score, u, of all students taking the test? Round your answer to three decimal places. (b) Based on the 99% confidence interval in (a) is it reasonable that the population mean score is 77? Justify your answer.

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A: x 23 29 24 20 27 25 26 28