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Student scores on the ACT college entrance examination in 2011 followed a normal distribution with mean 22.9 and standard deviation 4.1. Answer the following questions

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Student scores on the ACT college entrance examination in 2011 followed a normal distribution with mean 22.9 and standard deviation 4.1. Answer the following questions based on a sample of 40 students. a. What is the probability the sample mean is higher than 24? (6pts) b. What is the probability that the sample mean is between 19.4 and 22.7? (6pts)

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