Question: 1.The college Board American college Testing Program reported a population mean SAT score of 1018.Assume that the population standard deviationis 80. (6points) a)Assume that the

1.The college Board American college Testing Program reported a population mean SAT score of 1018.Assume that the population standard deviationis 80. (6points)

a)Assume that the test score is normally distributed. If you want to be in top 10% of the students, what is the least score you should get?

b)What is the probability a random sample of 100 students will provide a sample mean SAT score between -10 and +10 from the population mean?

c)What is the advantage of a larger sample size when attempting to estimate the population mean?

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