Stats M and M .pdf

# Brown yellow red orange green blue total observed

• 21

This preview shows page 21. Sign up to view the full content.

Brown Yellow Red Orange Green Blue Total Observed Expected (O-E) 2 /E If your bag reflects the distribution advertised in 1995, there should be little difference between the observed and expected counts. To quantify the difference, we’ll calculate a total which we’ll call “Chi-Square” or X 2 . For each color, perform this calculation: (observed - expected) 2 / expected. Enter each value in the last row of the table. Add up all of these “component” values to find X 2 . If this total value is small, we have little evidence to suggest a difference in distributions. However, the larger X 2 gets, the more evidence we have to suggest the company’s claim may no longer be applicable to bags of milk chocolate m&m’s. To determine the likelihood of observing a difference between observed and expected as extreme as the one we observed, we must look up the p-value on a Chi-square table. Chi- square distributions are skewed right and specified by degrees of freedom. In a Goodness of Fit test, the degrees of freedom equal one less than the number of categories. Find the p-value for our test by looking up X 2 for 5 degrees of freedom. Sketch the curve and observed X 2 below. Interpret the result in the context of the problem. Everything I Ever Wanted to Know about AP Statistics I Learned From a Bag of m&m’s 20
This is the end of the preview. Sign up to access the rest of the document.
• Fall '17

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern