An aspirin manufacturer fills bottles by weight rather than by count. Since each

Question

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 grams. Each of 100 tablets taken from a very large lot is weighed, resulting in a sample average weight per tablet of 4.87 grams and a sample standard deviation of .35 grams. Does this information provide strong evidence for concluding that the company is not filling its bottles as advertised? Test the appropriate hypotheses using a alpha = .01. Also, provide some bounds for the p-value resulting from this test using the appropriate statistical table

Explanation / Answer

here std error =std deviation/(n)1/2 =0.035

hence test stat t=(X-mean)/std error =(4.87-5)/0.035 =-3.7143

as for 99 degree of freedom and above t stat p value =0.0003

as p value is less then 0.01 level, we reject null hypothesis; that manufacturer claim of table tablet weight 5 is wrong

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