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A research was conducted at WPU to find the average amount of time students spend studying per week. Based on a simple random sample, they surveyed 144 students. The research showed that the student population studied an average of 20 hours per week with a standard deviation of 10 hours. (a) What is the standard error of the mean? (b) What is the probability that a sample mean would exceed 20 hours per week? (c) What is the probability of finding a sample mean less than 18 hours? (d) What is the probability that average student study time is between 18 and 22 hours?

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