To see whether silicon chip sales are independent of where the XYZ country's economy is in the business cycle, data have been collected on the weekly sales of ABC firm, and on whether the economy was rising to a cycle peak, at a cycle peak, falling to a cycle trough, or at a cycle trough. The results are given in the table below. State the null and alternative hypotheses. Calculate the appropriate test statistic and conduct the test of hypothesis at 0.01 level of significance, what is syour conclusion? WEEKLY CHIP SALES Total Economy High Medium At Peak Low 47 16 14 78 At Trough 70 94 70 235 Rising Falling 47 19 16 82 70 19 21 110 Total 235 148 122 505
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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