Test this assumption. State your hypotheses, test-statistic, and P-value and any other relevant work.

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In an experiment, 45 steel barrings are lubricated with purified paraffin and subjected to a 40 kg load at 600
rpm for 60 minutes. The average reduction in diameter was 673.2 ??m, and the standard deviation was
14.9 ??m. Assume the specification for a lubricant is that the mean reduction be less than 675 ??m. Test
this assumption. State your hypotheses, test-statistic, and P-value and any other relevant work.

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