The College Entrance Exam Board states that the mean score on the achievement test they

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The College Entrance Exam Board states that the mean score on the achievement test they administer is 450 with a standard deviation of 40. After tutoring a group of 100 students, you test the students and their mean is 464. Do a hypothesis test to find if the sample mean is significantly higher than the mean claimed by the CEEB. Use α = .03 and the prob-value approach.