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 4.86 grains and a sample standard deviation of 0.31 grain. does this information provide strong evidence for concluding that the company is not filling its bottles as advertised? test the appropriate hypotheses using ? = 0.01 by first computing the p-value and then comparing it to the specified significance level.