Sarah works for a coffee company. The farmers who supply the company spray Chemical X as a pesticide. the company brings in 2million pounds of coffee a year, and they take a sample of beans every 10,000lbs to ensure that levels of Chemical X are around 3ppm. Last year the average ppm of Chemical X was 2.43, with a standard deviation of 3.848. a) What is the statistical power of the current sampling scheme? b) how many samples does Sarah need to take to be 85% sure that Chemical X doesnt differ from 3ppm by more than 1.5ppm in either direction?
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!
Sarah works for a coffee company. The farmers who supply the company spray Chemical X as a pesticide. the company brings in 2million pounds of coffee a year, and they take a sample of beans every 10,000lbs to ensure that levels of Chemical X are around 3ppm.
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