A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly 14 44 28 21 23 14 25 18 33 31 27 selected days. The results (in parts per billion) are listed to the right. Assume that the population standard deviation is 10. At a = 0.11, can you support the scientist's estimate? Complete parts (a) through (e). 43 35 25 34 36 26 23 32 41 34 17 17 31 16 22 33 35 31 28 23 (b) Find the critical value and identify the rejection region. Zo (Round to two decimal places 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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