A Candy Company Claims That 20% of the Jelly Beans

question 12

Multiple Choice

A candy company claims that 20% of the jelly beans in its spring mix are pink.Suppose that the candies are packaged at random in small bags containing about 200 jelly beans.A class of students opens several bags,counts the various colors of jelly beans,and calculates the proportion that are pink.Is it appropriate to use a Normal model to describe the distribution of the proportion of pink jelly beans?

• A)A Normal model is appropriate because the 200 bags of jelly beans can be thought of as a random sample of bags and are fewer than 10% of the population of all bags.The success/failure condition is also satisfied because np = 40 ≥ 10 and nq = 160 ≥ 10.
• B)A Normal model is appropriate because the samples are random and independent.Also,the sample size,200,is less than 10% of the population.Most importantly,the original population has a Normal distribution.
• C)A Normal model is not appropriate because the population distribution is not Normal.
• D)A Normal model is not appropriate because the sample size is not large enough to satisfy the success/failure condition.
• E)A Normal model is not appropriate because the sample size,200,is larger than 10% of the population of all bags of jelly beans.

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