Chapter 11: Problem 2 Previous Problem Problem List Next Problem It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A of 698 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4- 7 8 - 13 14 - 21 231 175 406 83 62 145 32 59 91 22 or more 25 31 56 Total 371 327 698 With this information, construct a table of estimated expected values. Number of Nights Pre-retirement Post-retirement 4-7 8 - 13 14 - 21 22 or more Now, with that information, determine whether the length of stay is independent of retirement using a = 0.01. (a) x = %3D (b) Find the degrees of freedom: c) Find the critical value: ) The final conclusion is DA. There is not sufficient evidence to reject the null hypothesis that the length of stay is independent of retirement. OB. We can reject the null hypothesis that the length of stay is independent of retirement and accept the alternative hypothesis that the two are dependent. 田|田田|田
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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