2. An aspirin manufacturer fills bottles by weight rather than by count. Since each bottle should contain 100 tablets, the average weight per tablet should be 5 grains. Each of 100 tablets taken from a very large lot is weighed, resulting in a sample average weight per tablet of 4.87 grains and a sample standard deviation of .35 grain. Does this information provide strong evidence for conclud- ing that the company is not filling its bottles as advertised? Test the appropriate hypotheses using α = .01 by first computing the P-value and then comparing it to the specified significance level.

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