In making plastics a colourless gas is used and some will leak into the air. The manufacturer has given instructions to halt production if the mean (average) amount of this gas in the area exceeds 3.0 parts per million (ppm). Every day the safety manager plans to select a large sample n=50 air specimens and to perform a one tailed test Ha µ > 3 at significance level α = 0.01. Determine the lower limit of the rejection region of this test. Give your answer to 2 decimal places.
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