National Sleep Foundation guidelines advise that healthy adults need between 7 and 9 hours of sleep per night. Descriptive statistics from our student data taken in Fall 2015 are given below. Sleep Student data Fall 2020 mean 6.89 standard deviation 1.10 298 Using a =0.05, do the data support that students are getting less than 7 hours of sleep on average per night? Please show some work (I will not accept answers with no work) and include 1) the calculation of the appropriate test statistic, 2) the proper use of either the p-value method or the critical value method and 3) a clear conclusion in terms of the measured data and the research question.
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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