A company that produces beans claims that the amount, in ounces, of jelly beans in the bags in uniformly distributed on the interval 12 to 16 ounces. a) On average, how many ounces of beans are there in a bag? What is the standard deviation? b) Assuming that the claim of the company is true, what is the probability that a randomly selected bag contains less than 14.25 ounces? c. A consumer watch group wants to investigate the claim of the company. They collect a random sample of 40 bags of beans and find that that the average number of ounces per bag is 13.6. Assuming that the claim of the company is true, what is the probability that a sample of 40 bags has an average of less than 13.6 ounces of beans per bag. Interpret this result in the context of the problem. What does this indicate about the plausibility of the claim made by the company? You must justify and explain all of your calculations and conclusions
A company that produces beans claims that the amount, in ounces, of jelly beans in the bags in uniformly distributed on the interval 12 to 16 ounces.
a) On average, how many ounces of beans are there in a bag? What is the standard deviation?
b) Assuming that the claim of the company is true, what is the probability that a randomly selected bag contains less than 14.25 ounces?
c. A consumer watch group wants to investigate the claim of the company. They collect a random sample of 40 bags of beans and find that that the average number of ounces per bag is 13.6. Assuming that the claim of the company is true, what is the probability that a sample of 40 bags has an average of less than 13.6 ounces of beans per bag. Interpret this result in the context of the problem. What does this indicate about the plausibility of the claim made by the company? You must justify and explain all of your calculations and conclusions
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