Stattles candies have five different colors that are equally distributed (20% orange), and each bag represents a random sample of the entire population of Stattles. A 14 ounce bag of Stattles has 220 of the multi-colored
candies.
a. Cindy loves orange Stattles and is interested in exploring how many orange Stattles she can expect to get in
a bag. Demonstrate that the sampling distribution of p, the proportion of orange Stattles in a bag, satisfies all
three conditions of inference.
b. Find the mean and standard deviation of the sampling distribution of p.
c. Sketch and label the sampling distribution curve using your values from part b.
d. Calculate the probability that Cindy will get at least 50 orange Stattles in her next 14 ounce bag.