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Suppose that weights of bags of potato chips coming from a factory follow a normal distribution with mean 362 g and standard deviation 20 g.~

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Suppose that weights of bags of potato chips coming from a factory follow a normal distribution with mean 362 g and standard deviation 20 g.~ 4.1) (5 points) In general, what percentage of the bags weigh less than 330 g?+ 4.2) (5 points) If a simple random sample of size n - 100 is taken, what is the probability that the mean of this sample falls between 360 g and 363 g? 4.3) (10 points) The manufacturer is not satisfied with his current production pipeline. He thinks the variation of the weights of bags is too high. To reduce the variation, he has improved his production pipeline. After the improvement, the bag weights follow a normal distribution with the same mean as before. but only 1% of the bags weigh less than 330 g, what is the standard deviation of the bag weight distribution after the improvement

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