A manufacturer of detergent claims that the contents of boxes sold "are guaranteed to weigh on average at least 18 ounces". if this claim turns out to be false, the manufacturer will face a high fine. the distribution of weight is known to be normal, with a standard deviation of 0.6 ounce. a random sample of 16 boxes yielded a sample mean weight of 19ounces. (a) does the sample provide evidence at the 5% significance level to put the manufacturer's mind at peace in terms of the possible fine? (b) does the sample provide evidence at the 5% significance level for the state to persecute the manufacturer for false claim?
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