Trix cereal comes in fie fruit flavors, and each flavor has a different shape. A curious student methodically sorted an entire box of the cereal and found the following distribution of flavors for the pieces of cereal in the box: Flavor Grape Lemon Lime Orange Strawberry Frequency 530 470 420 610 585 Test the null hypothesis that the flavors are uniformly distributed versus the alternative that they are not. All the information for this question is listed above.
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!
- Trix cereal comes in fie fruit flavors, and each flavor has a different shape. A curious student methodically sorted an entire box of the cereal and found the following distribution of flavors for the pieces of cereal in the box:
|
Flavor |
Grape |
Lemon |
Lime |
Orange |
Strawberry |
|
Frequency |
530 |
470 |
420 |
610 |
585 |
Test the null hypothesis that the flavors are uniformly distributed versus the alternative that they are not.
All the information for this question is listed above.
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