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A snack food producer produces bags of peanuts labeled as containing 3 ounces. The actual weight of peanuts packaged in individual bags is Normally distributed

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A snack food producer produces bags of peanuts labeled as containing 3 ounces. The actual weight of peanuts packaged in individual bags is Normally distributed with mean l1 and standard deviation (5 = 0.2 ounces. As part of quality control, 31 bags are selected randomly and their contents are weighed. The hypotheses of interest are Ho: 14 = 3 ounces, Ha: iii 3 ounces. 20. Ifthe inspector samples n = 5000 bags and observes a sample mean weight of E = 3.01 ounces, the Pvalue is close to 0 (you don't need to verify thisit's true). Then A) the inspector will conclude that there is strong evidence that the mean weight of peanut bags is very different from 3 ounces. B) the inspector will commit a Type I error by concluding that the mean weight of peanut bags is different from 3 ounces. C) the Pvalue is close to 0 simply because we took such a large sample. After all, it's clear that the true mean weight for all peanut bags is not exactly 3 ounces. So while we may have evidence that the mean weight differs om 3 ounces, there's no evidence that it is far 'om 3 ounces. D) we need a larger sample to determine that the mean weight for all peanut bags is very different from 3 ounces

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