52. An aspirin manufacturer lls 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 concluding that the company is not lling its bottles as advertised? Test the appropriate hypotheses using a  .01 by rst computing the P-value and then comparing it to the speci ed signi cance level.