Manufacturing companies strive to maintain production consistency, but it is often difficult for outsiders to tell...

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Manufacturing companies strive to maintain production consistency, but it is often difficult for outsiders to tell whether they have succeeded. M&M's claims that 20% of the candies it produces are yellow and that bags are packed randomly. Their production controls can be checked by sampling bags of candies. Suppose bags containing about 260 candies are opened and the proportion of yellow 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 yellow candies they might expect in the 260-candy bag. It's appropriate to use a Normal model because np52 and nq= 208, which are both greater than or equal to 10. (Type integers or decimals. Do not round.) The samples in each bag should be random and independent. 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 17.5 % and 22.5 % yellow candies. (Use ascending order. Round to one decimal place as needed.) % yellow candies. About 95% of the bags will have between % and (Use ascending order. Round to one decimal place as needed.) Manufacturing companies strive to maintain production consistency, but it is often difficult for outsiders to tell whether they have succeeded. M&M's claims that 20% of the candies it produces are yellow and that bags are packed randomly. Their production controls can be checked by sampling bags of candies. Suppose bags containing about 260 candies are opened and the proportion of yellow 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 yellow candies they might expect in the 260-candy bag. It's appropriate to use a Normal model because np52 and nq= 208, which are both greater than or equal to 10. (Type integers or decimals. Do not round.) The samples in each bag should be random and independent. 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 17.5 % and 22.5 % yellow candies. (Use ascending order. Round to one decimal place as needed.) % yellow candies. About 95% of the bags will have between % and (Use ascending order. Round to one decimal place as needed.)