A company which produces jelly beans claims that the amount, inounces, of jelly beans in their bags is uniformly distributed onthe interval 14 to 18 ounces.
(a) On average, how many ounces of jelly beans are there in abag? What is the standard deviation?
(b) Assuming that the claim of the company is true, what is theprobability that a randomly selected bag contains less than 16.25ounces?
c) A consumer watch group wants to investigate the claim of thecompany. They collect a random sample of 40 bags of jelly beans andfind that the average number of ounces per bag is 15.6. Assumingthat the claim of the company is true, what is the probability thata sample of 40 bags has an average of less than 15.6 ounces ofjelly beans per bag. Interpret this result in the context of theproblem. What does this indicate about the plausibility of theclaim made by the company? You must justify and explain all of yourcalculations and conclusions.
