Is the difference between the mean annual salaries of registered nurses in State A and State B equal to $10,500? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown. Assume the population standard deviations are o, = $8337 and o, = $7633. At a = 0.01, what can you conclude? Registered Nurses in State A Registered Nurses in State B 75,695 70,695 %3D %3D X1 n1 30 n2 25 What are the null and alternative hypotheses for this test? O A. Ho: H1 - H22 10,500 Hai H1 - H2 < 10,500 B. Ho: H1 - H2 = 10,500 Ha: H1 - H2 # 10,500 C. Ho: H1 - H2 # 10,500 Hai H1 - H2 = 10,500 D. Ho: H1 - H2 <10,500 Hai H1-H22 10,500 O E. Ho: H1 - H2 > 10,500 Ha: H1 - H25 10,500 O F. Ho: H1 - H2<10,500 Hai H1 - H2 > 10,500 Determine the critical value(s). zo =0 %3D (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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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