Education For All

Have you ever wondered if lottery numbers were evenly distributed or if some numbers occurred with a greater frequency? How about if the types of movies people preferred were different across different age groups? What about if a coffee machine was dispensing approximately the same amount of coffee each time? You could answer these questions by conducting a hypothesis test.

You will now study a new distribution, one that is used to determine the answers to the above examples. This distribution is called the Chi-square distribution.

This lecture covers the three major applications of the Chi-square distribution:

• - The goodness-of-fit test, which determines if data fits a particular distribution, such as with the lottery example
• - The test of independence, which determines if events are independent, such as with the movie example
• - The test of a single variance, which tests variability, such as with the coffee example