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

Number of total M&Ms 1111

Number ofblue 267P^=24%

Number of green 238 P^=21.4

Number of Red 140P^=-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 bag55.5

Standard Deviation 1.432

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

IQR= 1.5

In2008 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

Several market research articles have calculated the average number of M&Ms in a day to be 56. M&Ms enthusiast around the world have begun to express concern that there are less than 56 candies in the bag. Use sample statistics from the above to contact hypothesis test to determine if there is a valid concern. Before we conduct a test answer a few questions.

A) Is 56 a parameter or a statistic? Give the definition of both parameter and statistic.

B) Will you be conducting a Z-test or a T-Test? Are the conditions met for using the Test? Explain

C) Give no an alternative hypothesis for the test.