According to the Centers for Disease Control and Prevention, the mean total cholesterol level for persons 20 years of age and older in the United Stare from 2007 – 2010 was 197 mg/dL a) What is the probability a randomly selected adult from the population will have a total cholesterol level less than 183 mg/dL? Use a standard deviation of 35 mg/dL and assume that the cholesterol levels for the population are normally distributed. b) What is the probability that a randomly selected sample of 150 adults from the same population will have a mean total cholesterol level of less than 183 mg/dL?
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!
According to the Centers for Disease Control and Prevention, the mean total cholesterol level for persons 20 years of age and older in the United Stare from 2007 – 2010 was 197 mg/dL
a) What is the
b) What is the probability that a randomly selected sample of 150 adults from the same population will have a mean total cholesterol level of less than 183 mg/dL?
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