8. D A cereal manufacturer has a machine that fills the boxes. Boxes are labeled "16 ounces," so the company wants to have that much cereal in each box. But no packaging process is perfect, so there will be minor variation. When the machine runs properly the weight of the cereal in the boxes will be a normal distribution. If the weight was set to 16 ounces, then half of the boxes would be underweight, which would not make consumers happy. So, the manufacturer sets the mean weight to 16.3 ounces for filling the boxes. Based on their experience the company knows that the standard deviation will be 0.2 ounces. If the boxes are labeled 16 ounces, then what percentage of the boxes will be underweight? Include a sketch in your answer. Round to 3 decimal places. Ska odard denatn o.202 16 62 boxes

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8. (5) A cereal manufacturer has a machine that fills the boxes. Boxes are labeled “16 ounces," so the
company wants to have that much cereal in each box. But no packaging process is perfect, so there will be
minor variation. When the machine runs properly the weight of the cereal in the boxes will be a normal
distribution. If the weight was set to 16 ounces, then half of the boxes would be underweight, which would
not make consumers happy. So, the manufacturer sets the mean weight to 16.3 ounces for filling the boxes.
Based on their experience the company knows that the standard deviation will be 0.2 ounces. If the boxes
are labeled 16 ounces, then what percentage of the boxes will be underweight? Include a sketch in your
answer. Round to 3 decimal places. shoodard denaton e.2 02
16 62 boxes
Transcribed Image Text:8. (5) A cereal manufacturer has a machine that fills the boxes. Boxes are labeled “16 ounces," so the company wants to have that much cereal in each box. But no packaging process is perfect, so there will be minor variation. When the machine runs properly the weight of the cereal in the boxes will be a normal distribution. If the weight was set to 16 ounces, then half of the boxes would be underweight, which would not make consumers happy. So, the manufacturer sets the mean weight to 16.3 ounces for filling the boxes. Based on their experience the company knows that the standard deviation will be 0.2 ounces. If the boxes are labeled 16 ounces, then what percentage of the boxes will be underweight? Include a sketch in your answer. Round to 3 decimal places. shoodard denaton e.2 02 16 62 boxes
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