In a study, a random sample of 36 healthy college students deprived of one night's sleep received an array of tests inteneded to measure their thinking time, ucency, and exibility. The overal test scores of those 36 students had a mean of x bar 63 and a standard deviation of s1=17 a random sample of 40 of students who received sleep prior to taking the test had a mean score of x2 bar 78 with a standard deviation of s2=20 Compute a 95% con dence interval for the diference in mean test scores u1-u2 Interpret the con dence interval in the context of the problem. Does it apprear that students depreived of sleep perform worse on the tests than those students who received sleep prior to taking the tests? Explain.
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!
8. In a study, a random sample of 36 healthy college students deprived of one night's sleep received an array of tests inteneded to measure their thinking time, ucency, and exibility. The overal test scores of those 36 students had a
Compute a 95% con dence interval for the diference in mean test scores u1-u2
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