A candy company claims that 32% of the jelly beans in its spring mix are pink. Suppose that the candies arepackaged at random in small bags containing about 224 elly 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? O A. A Nomal model is appropriate because jelly beans in each bag can be thought of as a random sample of jelly beans and are fewer than 10% of the population of all jelly beans. The success/failure condition is also satisfied because np = 71.7 2 10 and nq 152.3 2 10. O B. A Normal model is not appropriate because the sample size, 224, is larger than 10% of the population of all jelly beans. O C. A Nomal model is appropriate because the samples are random and independent. Also, the sample size, 224, is less than 10% of the population. Most importantly, the original population has a Normal distribution. O D. A Nomal model is not appropriate because the sample size is not large enough to satisfy the success/failure condition. O E. A Normal model is not appropriate because the population distribution is not Normal.

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A candy company claims that 32% of the jelly beans in its spring mix are pink. Suppose that the candies arepackaged at random in small bags containing about 224
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?
O A. A Nomal model is appropriate because jelly beans in each bag can be thought of as a random sample of jelly beans and are fewer than 10% of the population
of all jelly beans. The success/failure condition is also satisfied because np = 71.7 2 10 and nq = 152.3 2 10.
O B. A Nomal model is not appropriate because the sample size, 224, is larger than 10% of the population of all jelly beans.
O C. A Nomal model is appropriate because the samples are random and independent. Also, the sample size, 224, is less than 10% of the population. Most
importantly, the original population has a Normal distribution.
O D. A Nomal model is not appropriate because the sample size is not large enough to satisfy the success/failure condition.
O E. A Normal model is not appropriate because the population distribution is not Normal.
Transcribed Image Text:A candy company claims that 32% of the jelly beans in its spring mix are pink. Suppose that the candies arepackaged at random in small bags containing about 224 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? O A. A Nomal model is appropriate because jelly beans in each bag can be thought of as a random sample of jelly beans and are fewer than 10% of the population of all jelly beans. The success/failure condition is also satisfied because np = 71.7 2 10 and nq = 152.3 2 10. O B. A Nomal model is not appropriate because the sample size, 224, is larger than 10% of the population of all jelly beans. O C. A Nomal model is appropriate because the samples are random and independent. Also, the sample size, 224, is less than 10% of the population. Most importantly, the original population has a Normal distribution. O D. A Nomal model is not appropriate because the sample size is not large enough to satisfy the success/failure condition. O E. A Normal model is not appropriate because the population distribution is not Normal.
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