11.2 & There is no doubt that M&Ms plain and peanut candies are delicious. However, there might be some doubt about the distribution of colors in these two varieties. Six colors are found in each population: blue, orange, green, yellow, red, and brown. However, are these six colors found in the same proportion in M&Ms plain as they are in M&Ms peanut? Inquiring minds (and stomachs) want to know! Suppose that we have no prior information about the distribution of colors in either population. The null hypothesis is often considered a statement of effect” or difference.” How would “no “no you write a null hypothesis to show that there really is no difference in the distribution of colors in both populations? Mr. Tyson suspects that the color distribution might be different in the two populations. How would Mr. Tyson state an alternative claim? To investigate this claim, our class will open (Observed) Plain (Observed) two large bag of M&Ms candies one from – Color M&Ms Peanut M&Ms each population, and count the colors of Blue the candies therein. Record your observed counts in the two-way table to the right. Orange Green Explain why this is called a 6 × 2 table. Yellow Red Brown Compute the marginal distributions for the Total column and row variables in percents. Write them next to the totals.
11.2 & There is no doubt that M&Ms plain and peanut candies are delicious. However, there might be some doubt about the distribution of colors in these two varieties. Six colors are found in each population: blue, orange, green, yellow, red, and brown. However, are these six colors found in the same proportion in M&Ms plain as they are in M&Ms peanut? Inquiring minds (and stomachs) want to know! Suppose that we have no prior information about the distribution of colors in either population. The null hypothesis is often considered a statement of “no effect” or “no difference.” How would you write a null hypothesis to show that there really is no difference in the distribution of colors in both populations? Mr. Tyson suspects that the color distribution might be different in the two populations. How would Mr. Tyson state an alternative claim? Color (Observed) Plain M&Ms (Observed) Peanut M&Ms Blue Orange Green Yellow Red Brown Total To investigate this claim, our class will open two large bag of M&Ms candies – one from each population, and count the colors of the candies therein. Record your observed counts in the two-way table to the right. Explain why this is called a 6 × 2 table. Compute the marginal distributions for the column and row variables in percents. Write them next to the totals.
Tyson%2011.2%20Test%20of%20Homogeneity%20v2.docx