We opened 20 bags M&Ms to find the average number of different colors in each bag.

Number of total M&Ms 1111

Number of blue 267 P^=24%

Number of green 238 P^=21.4

Number of Red 140 P^=-12.6%

Number of Brown 128 P^=11.5%

Number of Yellow 91 P^=8.1%

Number of Orange 247 P^=2.2%

Average number 0r M&M's per bag 55.5

Standard Deviation 1.432

5 number Summary MIn- 53 Q1- 54.5 M-56 Q3-56 MAX-89

IQR= 1.5

In 2008 the Mars company listed on their website the following distributions of colors of M&Ms

24% blue, 20% orange, 16% green, 14% yellow, 13% red, 13% brown think of these proportions as parameter values for each color

*******Test for red and brown:

Red and brown M&Ms as a parameter proportion of 13%. Let's test to see if they actually have different proportion values.

a) Show work and check to make sure the conditions are satisfied to use a normal distribution for testing two proportions.