David, a first-year college student, is currently completing his statistics assignment but he is not understanding the notes about chi-square distribution. Using your own words, provide responses to the following questions to assist David with understanding said topic. What is a chi-square distribution?
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!
David, a first-year college student, is currently completing his statistics assignment but he is not understanding the notes about chi-square distribution. Using your own words, provide responses to the following questions to assist David with understanding said topic.
What is a chi-square distribution?
Chi square distribution with n degrees of freedom is distribution of sum of n independent standard normal variates.
The chi square is a continuous distribution which used for two purpose, the first one being, to determine whether the sample matches the population and second one is to check whether two categorical variables are related or not.
Step by step
Solved in 2 steps
