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A machine is designed to fill cereal boxes with 12 ounces of product. In order to determine if the process is under-filling boxes, a test of H0: µ=12 vs. HA: µ<12 will be conducted at the .01 level of significance using a simple random sample of 64 boxes. Assume that the population standard deviation is ?=.8 ounce. If, in reality, the average fill amount is 11.9 ounces, what is the probability that the test will commit a type II error?

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