Question

Manufacturing companies strive to maintain production consistency, but it is often difficult for outsiders to tell whether they have succeeded. Consider a company that makes a certain brand of candy claims that 10% of the candies it produces are blue and that bags are packed randomly. Their production controls can be checked by sampling bags of candies. Suppose bags containing about 300 candies are opened and the proportion of blue candies is recorded. Complete parts a through c.

a) Explain why it's appropriate to use a Normal model to describe the distribution of the proportion of Blue candies they might expect in the 300-candy bag.

It's appropriate to use a Normal model because np = ______________ and nq = ______________ which (at least one of is greater than or equal to 10 OR are both greater than or equal to 10) – Select One. The samples in each bag should be (independent. OR random and independent. OR random) – Select One

b) Use the 68 – 95 − 99.7 Rule to describe how this proportion might vary from bag to bag. About 68% of the bags will have between ____________ % and ___________ % blue candies. (Use ascending order. Round to one decimal place as needed.)

About 95% of the bags will have between and ____________ % and ___________ % blue candies. (Use ascending order. Round to one decimal place as needed.)

About 99.7% of the bags will have between and ____________ % and ___________ % blue candies. (Use ascending order. Round to one decimal place as needed.)

c) How would this model change if the bags contained even more candies? (Select one answer)

a) The center will be shifted down but the spread will be the same

b) The center will be the same but there would be more spread.

c) The center will be shifted up but the spread will be the same

d) The center will be the same but there would be less spread.

Answer 1

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