Suppose a random sample of 10 male federal workers is taken and the variance of their ages is 91.5. Suppose also that a random sample of 10 male state workers is taken and the variance of their ages is 67.3. Find the upper critical value used to determine if there is any difference between the variations of ages of men in the federal sector and men in the state sector at the 5% level of significance. Use our textbook statistical table to answer the question. Assume population 1 = federal sector and population 2 = state sector. Assume that ages are normally distributed.
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!
Suppose a random sample of 10 male federal workers is taken and the variance of their ages is 91.5. Suppose also that a random sample of 10 male state workers is taken and the variance of their ages is 67.3. Find the upper critical value used to determine if there is any difference between the variations of ages of men in the federal sector and men in the state sector at the 5% level of significance. Use our textbook statistical table to answer the question. Assume population 1 = federal sector and population 2 = state sector. Assume that ages are
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