# Question

TIMSS 2007 (Trends in International Mathematics and Science Study) focused on the mathematics and science achievement of eighth-grade students throughout the worl
d. A total of 8 countries (including the United States) participated in the study. The mean math exam score for U.S. students was 509 with a standard deviation of 88. Source: http://nces.ed.gov/ Assuming the scores are normally distributed, find the following for a sample of 150 students.
a. Find the probability that the mean TIMSS score for a randomly selected group of eighth-grade students would be between 495 and 515.
b. Find the probability that the mean TIMSS score for a randomly selected group of eighth-grade students would be less than 520.
c. Do you think the assumption of normality is reasonable? Explain.

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