The mean percent of childhood asthma prevalence in 43 cities is 2.06%. A random sample of 34 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.4%? Interpret this probability. Assume that σ=1.28%. The probability is nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. About nothing% of samples of 34 cities will have a mean childhood asthma prevalence greater than 2.4%. B. About nothing% of samples of 34 cities will have a mean childhood asthma prevalence greater than 2.06%. C. About nothing% of samples of 43 cities will have a mean childhood asthma prevalence greater than 2.4%.
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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