Sport analysts would like to compare the consistency of points scored by two NBA teams. Scores of their last few games are given below. Assuming that the score differences are approximately Normal, help analysts construct a 90% confidence interval for the ratio o, /02. Click here to view page 1 of the table of critical values of the F-distribution for alpha = 0.05 Click here to view page 2 of the table of critical values of the F-distribution for alpha = 0 05 Team Cavaliers Points 84 98 99 114 100 177 76ers 99 81 127 92 91 113 With 90% confidence, the ratio o, /a, will be between and. Because the interval for o, /o, it that o, = 02. (Round to three decimal places inlcuding any zeros.) includes does not include Sport analysts would like to compare the consistency of points scored by two NBA teams. Scores of their last few games are given below. Assuming that the score differences are approximately Normal, help analysts construct a 90% confidence interval for the ratio o, /0, Click here to view page 1 of the table of critical values of the F-distribution, for alpha = 0.05. Click here to view page 2 of the table of critical values of the F-distribution, for alpha = 0.05. Team Cavaliers Points 98 99 114 84 100 76ers 99 81 127 92 177 91 113 Because the interval for o, /02 v it With 90% confidence, the ratio o, /6, will be between (Round to three decimal places inlcuding any zeros.) and that o, = 02- 1, 0, Sport analysts would like to compare the consistency of points scored by two NBA teams. Scores of their last few games are given below. Assuming that the score differences are approximately Normal, help analysts construct a 90% confidence interval for the ratio o, /02. Click here to view page 1 of the table of critical values of the F-distribution for alpha = 0.05. Click here to view page 2 of the table of critical values of the F-distribution for alpha = 0.05. Points Team Cavaliers 98 99 114 84 100 177 76ers 99 81 127 92 91 113 With 90% confidence, the ratio o, /02 will be between and Because the interval for o, /62 V it that o, = 02. (Round to three decimal places inlcuding any zeros.) is reasonable to assume should not be assumed
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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