According to the National Survey of Student Engagement, the average student spends about 15 hours each week preparing for classes; preparation for classes includes homework, reading, and any other assignments. Assume the standard deviation of time spent preparing for classes is 4 hours. If you select a random sample of 16 students, a. what is the probability that the mean time spent preparing for classes is at least 14 hours per week? b. there is an 85% chance that the sample mean is less than how many hours per week? c. What assumption must you make in order to solve (a) and (b)?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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| According to the National Survey of Student Engagement, the average student spends about 15 hours each week preparing for classes; preparation for classes includes homework, reading, and any other assignments. Assume the standard deviation of time spent preparing for classes is 4 hours. If you select a random sample of 16 students, |
| a. what is the probability that the |
| b. there is an 85% chance that the sample mean is less than how many hours per week? |
| c. What assumption must you make in order to solve (a) and (b)? |
| d. If you select a random sample of 64 students, there is an 85% chance that the sample mean is less than how many hours per week? |
-Rebecca
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