One online report says that the colors are manufactured in a very specific ratio and not just equal numbers of each. The claim is that for Plain M&M's, the breakdown is 12.4% brown, 13.5% yellow, 13.1% red, 19.8% green, 20.7% blue, and 20.5% orange. Use this claim to create a null and alternative hypothesis. Now compute the χ2 statistic for your bag in this case. What is it? Is your result significant? Observed Count : green 18, yellow 5, red 7, orange 10, blue 14, brown 1
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!
One online report says that the colors are manufactured in a very specific ratio and not just equal numbers of each. The claim is that for Plain M&M's, the breakdown is 12.4% brown, 13.5% yellow, 13.1% red, 19.8% green, 20.7% blue, and 20.5% orange. Use this claim to create a null and alternative hypothesis.
Now compute the χ2 statistic for your bag in this case. What is it? Is your result significant?
Observed Count : green 18, yellow 5, red 7, orange 10, blue 14, brown 1
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