Question

5. A cereal factory’s machine is adjusted to fill boxes with a mean of 12 ounces and a standard deviation of 0.6 ounces. Assume the amount of fill is normally distributed.

a. In order to ensure boxes are not inappropriately filled, they need to be between the 45 and 55 percentiles. How many ounces should be in each box to ensure they fall within the appropriate fill level?

Given and

Z-score of 45th percentile is and

Z-score of 55th percentile is

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