Question 321051: Thickness measurments of ancient prehistoric Native American pot shards discovered in a Hopi Village were approximately normally distributed with a mean of 5.1mm and standard deviation of 0.9 mm. For 500 randomly selected shards, about how many would you expect to be between 3.2mm and 6.8mm thick? Find P 30,(the 30 is on the right side of the P but smaller) for the shard thickness?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Thickness measurments of ancient prehistoric Native American pot shards discovered in a Hopi Village were approximately normally distributed with a mean of 5.1mm and standard deviation of 0.9 mm.
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For 500 randomly selected shards, about how many would you expect to be between 3.2mm and 6.8mm thick? Find P 30,(the 30 is on the right side of the P but smaller) for the shard thickness?
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z(3.2) = (3.2-5.1)/0.9 = -2.111
z(6.8) = (6.8-5.1)/0.9 = 1.89
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P(3.2 < x < 6.8) = P(-2.11 < z < 1.89) = 0.9532
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# = 0.9532*500 = 476.6
Round up to # of shards = 477
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Cheers,
Stan H.
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