2. One of the employees at the M&Ms factory in Hackettstown, Pennsylvania claims that all M&Ms factories in the U.S. produce an equal number of each of the six colors of M&Ms. We will investigate this claim in the following questions. Since it is not practical for us to visit each M&Ms factory in the U.S., we will rely sample data. Assuming the M&Ms factory employee is correct and all six colors of M&Ms are equally distributed, we will use the population proportion p = 1/6 = 0.1667. a. A student group decides to use a sample size of n = 100 M&Ms. Check normality conditions. Is it reasonable to use a normal distribution for this sample size? Document your calculations. b. In the random sample of n = 100 M&Ms, the students find that 21 are blue M&Ms. What is the sample proportion p ? c. Calculate the standard error