7. Conduct a complete hypothesis test: Researchers have often noted increases in nonviolent crime during the warm weather months. Over the past 30 years, a particular precinct has noted an average of u nonviolent crimes during the summer months. Assume the distribution is nearly normal with o = 3. For a sample of n = 4 weeks in which the daily temperature was extremely hot, the weekly average of non-violent crimes was M = 17.25. = 14 %3D g. Is there a significant difference in the number of non-violent crimes during hot weather days compared to typical days? Test at the alpha = .05 level.
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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