Engagement, the average student spends about 17 hours each week preparing for classes; preparation for classes includes homework, reading and any other assignments. (Data extracted from "How much do you study...") Assume the standard deviation of time spend preparing for classes is 4 hours. If you select a random sample of 16 students, 1) What is the probability that the mean time spent preparing for classes is at least 16 hours per week? 2) There is an 85% chance that the sample mean is less than how many hours per week? 3) What assumption must you make in order to solve (1) and (2)? Please walk me through the steps to solve this problem.

MATLAB: An Introduction with Applications
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According to the National Survey of Student Engagement, the average student spends about 17 hours each week preparing for classes; preparation for classes includes homework, reading and any other assignments. (Data extracted from "How much do you study...") Assume the standard deviation of time spend preparing for classes is 4 hours. If you select a random sample of 16 students,

1) What is the probability that the mean time spent preparing for classes is at least 16 hours per week?
2) There is an 85% chance that the sample mean is less than how many hours per week?
3) What assumption must you make in order to solve (1) and (2)?

Please walk me through the steps to solve this problem.

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