Boxes of cereal are filled by a machine. Tests of the machine’s accuracy show that the amount of cereal in each box varies. The weights are normally distributed with a mean of 20 ounces and a standard deviation of 0.25 ounce.   a) Find the z-scores for weights of:            19.4 ounces             20.4 ounces   b) What is the probability that a randomly selected cereal box weighs at most 19.4 ounces?

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Boxes of cereal are filled by a machine. Tests of the machine’s accuracy show that the amount of cereal in each box varies. The

weights are normally distributed with a mean of 20 ounces and a standard deviation of 0.25 ounce.

 

a) Find the z-scores for weights of: 

          19.4 ounces  

          20.4 ounces  

b) What is the probability that a randomly selected cereal box weighs at most 19.4 ounces?

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