A machine in a sweet factory produces chocolate bars of nominal weight of 200 grams. The distribution of weight of the chocolate bars is normal. On a certain day technical inspection took a sample of 64 chocolate bars and found that their actual average weight was only 198 grams, whereas the sample variance was 16 grams. On the basis of this evidence can one claim that the machine had gone off and produces underweight bars? Verify this supposition by means of an appropriate test and taking 1% significance level.

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